| 单词 | polygon |
| 例句 | There are an infinite number of regular polygons, but only five regular solids. Cosmos 1980-01-01T00:00:00Z But we passed under one dead tree, leafless but still standing, and I looked up through its branches, which intersected to fracture the cloudless blue sky into all kinds of irregular polygons. Turtles All the Way Down 2017-10-10T00:00:00Z But it’s complete enough for his daughter to use if she must: the irregular polygon of the island framed by ramparts, each of its eight hundred and sixty-five buildings in place. All the Light We Cannot See 2014-05-06T00:00:00Z There were known to be five regular or “platonic” solids, whose sides were regular polygons, as known to the ancient Greek mathematicians after the time of Pythagoras. Cosmos 1980-01-01T00:00:00Z The gray paint peels off the wall in odd and beautiful patterns, each cracked polygon of paint a snowflake of decay. Paper Towns 2008-10-16T00:00:00Z For one thing, I was certain its body of knowledge concerning plane curves, angles, and polygons would help me design my rockets. October Sky 1999-04-01T00:00:00Z The Pythagoreans were fascinated by the regular solids, symmetrical three-dimensional objects all of whose sides are the same regular polygon. Cosmos 1980-01-01T00:00:00Z The huge cypress trees she and her father pass on their morning walk are shimmering kaleidoscopes, each needle a polygon of light. All the Light We Cannot See 2014-05-06T00:00:00Z An architectural - and highly huggable - display of some 14 soft, open knit looks - set off with creative spirals, polygons and geometric shapes. New, emerging talent kicks off Paris Fashion Week 2012-09-25T19:10:12Z Every bit of data is represented by a point, a closed polygon or a pixel on a map. Humanities 2.0: With Digital Mapmaking, Scholars See History 2011-07-26T13:43:41Z An apeirogon is a polygon with an infinite yet countable number of sides. Colum McCann Gives Voice to Grieving Fathers, One Israeli and One Palestinian 2020-02-24T05:00:00Z The gloom suits the artworks, which are mostly in white and shades of gray, and adds drama to “Spaceship Project,” a video projection that explicitly turns Chen’s complex polygons into spacecraft and asteroids. Review | In the galleries: Many shades of gray are only the beginning 2018-03-23T04:00:00Z In “Crystalline,” one of the new songs Bjork performed on Friday evening at the New York Hall of Science, she sang: “Octagon polygon/pipes of an organ/sonic branches/murmuring drone.” Music Review: Bjork at the New York Hall of Science 2012-02-04T08:34:26Z Carrie Wood’s playful lighting is anchored in color, mainly pinks and greens, and frequently the stage is stamped with more polygons. Dance Review: Geometry in Motion, With Costumes 2011-02-17T23:16:24Z About half of its 394 windows, with stained-glass squares and polygons in iridescent golds and greens, were removed; they have been scattered across private collections and museums or are presumed lost. Antiques: Hunting for Windows in a House by Frank Lloyd Wright 2011-07-07T21:49:42Z It is accompanied by a video monitor that displays a cascade of colorful polygons generated from the code of those pages. 5 million Wikipedia articles made into art? How Jason Salavon turns code into cascading color 2016-03-04T05:00:00Z His sparse canvasses sport symmetrical compositions of dots, lines and polygons. This week's new exhibitions 2010-06-25T23:06:00Z When I reach my hand out in front of me, its shape is rendered in multicolored polygons, twisting as I turn my hand this way and that. Perspective | Welcome to the metaverse, where the art is virtual but the headache is real 2022-02-25T05:00:00Z Two-dimensional prints alongside the sculptures reveal how scanned information is pieced together via small polygons that function like cells or atoms in the computer imaging process. Review: Richard Dupont’s ‘Sobriquets,’ the Human Form From Scan to 3-D 2015-07-16T04:00:00Z Well, it might be, if all of said creatures were polygons fitting onto a plane with no gaps or overlaps. Spare Times for Children for Jan. 16-22 2015-01-16T05:00:00Z These spaces, rendered in Victorian gray-browns, are disrupted by outlines of polygons and polyhedrons. In the galleries: Wells & Barnes offer many seats, but no place to sit down 2016-06-10T04:00:00Z Compositions feature squares or polygons; are arranged on the diagonal or perpendicular; involve flat or tilted planes. Alice Trumbull Mason: America’s Forgotten Modernist 2020-04-30T04:00:00Z The patches are geometric and chaotic: rectangles and triangles, L shapes backward and forward, and other hand-cut polygons of cotton and denim reminiscent of Tetris pieces. ‘I can’t breathe’: How one Black quilter channels social justice into her work 2020-12-22T05:00:00Z No, I don’t mean the number of polygons the game’s pushing or whether it’s using this pixel shader or that one. 5 Reasons Final Fantasy XIII Worked 2012-01-24T15:13:27Z But her two prints of colorful overlapping polygons conjure a strong sense of depth. Review | In the galleries: Two photographers focus on the pastoral beauty of Arlington 2017-11-22T05:00:00Z Mishka Henner’s “Dutch Landscape” series at Yossi Milo features satellite images in which security sites have been stylishly blotted out with colorful polygons at the initiative of the government of the Netherlands. Art Review: Experimental Strategies at Aipad’s Photography Show 2014-04-10T22:13:56Z Though it is rendered with polygons and pixels, this side-scrolling game looks somehow to be made of real physical stuff: the wood, cloth and cardboard of actual stage sets. Video Games: Rayman Legends, Total War: Rome II, Plants vs. Zombies 2, Amnesia: A Machine for Pigs and Puppeteer 2013-09-11T21:39:06Z As of last month, it was the largest of the land-based national monuments, a 2,900-square-mile rough polygon, about the size of Delaware. At Three National Monuments, Quiet Trails and Questions About the Future 2017-12-06T05:00:00Z Even the installation itself looks simple on the outside: an oddly-shaped polygon made of wood slats. Edgar Arceneaux’s labyrinthine ‘Library of Black Lies’ invites endless interpretation 2018-12-19T05:00:00Z Sou Fujimoto's Inside/Outside Tree, growing from a landing outside the museum's architecture gallery, is a transparent shelter built entirely of sheets of acrylic polygons, held together by white plastic cable ties. 1:1 with the V&A's Small Spaces 2010-06-09T20:30:00Z Using survey information, experts will create polygons on a map showing areas of focus, Hiznay said. Ukraine faces the deadly threat of land mines as Russians retreat By 2021, the investigators had been able to shrink the polygon so that it covered only several hundred homes. The polygon and the avalanche: How the Gilgo Beach suspect was found 2023-07-20T04:00:00Z “Who would believe that a little polygon could kick up such a fuss,” said Marjorie Senechal, a mathematician at Smith College who is on the roster of speakers for the event. With a New, Improved ‘Einstein,’ Puzzlers Settle a Math Problem 2023-06-01T04:00:00Z Parched polygons of cracked dirt stretch toward a thin blue water line on the horizon. Want to solve climate change? This California farm kingdom holds a key 2023-01-17T05:00:00Z The tattoo, only a few inches long, is a spare linear outline of one rod in the form of a polygon. Appreciation: Celebrated bookseller and major L.A. art player Dagny Janss Corcoran dies at 77 2022-11-10T05:00:00Z At the center of this love polygon is the racially mixed jazz trumpeter and ladies’ man Circus Palmer. L.A. writer Laura Warrell gave up on love — but never on writing 2022-09-22T04:00:00Z They whittled down the area to what they came to call the polygon, which left them with several hundred homes around First Avenue in Massapequa Park, law enforcement officials said. The polygon and the avalanche: How the Gilgo Beach suspect was found 2023-07-20T04:00:00Z We will construct an overlay frequency polygon comparing the scores from Example 2.11 with the students’ final numeric grade. Introductory Business Statistics 2017-11-29T00:00:00Z To construct a frequency polygon, first examine the data and decide on the number of intervals and resulting interval size, for both the x-axis and y-axis. High School Statistics 2020-03-27T00:00:00Z In this chapter, we will briefly look at stem-and-leaf plots, line graphs, and bar graphs, as well as frequency polygons, and time series graphs. Introductory Statistics 2013-09-19T00:00:00Z The software then used these points to create a map of the hat’s surface, visualized as a mesh of 7.7 million connecting polygons. How Indigenous Groups Are Using 3-D Technology to Preserve Ancient Practices 2022-06-29T04:00:00Z For years, investigators looked for suspects who worked in Manhattan and had lived in the polygon. The polygon and the avalanche: How the Gilgo Beach suspect was found 2023-07-20T04:00:00Z On a screen in front of them, the infants watched videos of bouncing shapes—yellow clouds and pink polygons. Monkeys can sense their own heartbeat. That could be good news for psychiatry 2022-04-11T04:00:00Z For example, if an interval has three data values in it, the frequency polygon will show a 3 at the upper endpoint of that interval. High School Statistics 2020-03-27T00:00:00Z To construct a frequency polygon, first examine the data and decide on the number of intervals, or class intervals, to use on the x-axis and y-axis. Introductory Statistics 2013-09-19T00:00:00Z Clad in a crisp, tan, long-sleeved shirt with no tie but each collar point decorated with five stars that outlined a polygon, Villanueva started with small talk. L.A. County’s sheriff leans on his Latino identity. Does he exemplify our worst traits? 2022-03-24T04:00:00Z And he lived in what investigators believed was their serial killer sweet spot: the part of Massapequa Park where they had begun drawing their polygon. The polygon and the avalanche: How the Gilgo Beach suspect was found 2023-07-20T04:00:00Z But when presented with regular polygons, their performance collapsed. Is Geometry a Language That Only Humans Know? 2022-03-22T04:00:00Z We will construct an overlay frequency polygon comparing the scores from Example 2.12 with the students’ final numeric grades. High School Statistics 2020-03-27T00:00:00Z A frequency polygon was constructed from the frequency table below. Introductory Statistics 2013-09-19T00:00:00Z As the sun set, Hummels began trekking over salt polygons rising from the earth. Blisters. Hallucinations: A hiker's grueling attempt to cross Death Valley in four days 2022-03-10T05:00:00Z A low-poly graphic is built from polygons, two-dimensional, typically triangular shapes that are merged together to form a 3-D figure. Ice Age Animals Come to Life via Augmented Reality 2022-03-10T05:00:00Z They succeeded in their quest by deploying the mathematics of “polyforms,” shapes made from multiple copies of a polygon, such as a triangle. Is This Some Kind of Code? You Can Solve the … 2021-06-25T04:00:00Z Construct a frequency polygon from the frequency distribution for the 50 highest-ranked countries for depth of hunger. High School Statistics 2020-03-27T00:00:00Z This is achieved by overlaying the frequency polygons drawn for different data sets. Introductory Statistics 2013-09-19T00:00:00Z Penrose showed that a class of polygons now called Penrose tiles can combine to form aperiodic patterns, which never repeat themselves. Can Science Survive the Death of the Universe? 2021-06-16T04:00:00Z While older games would cheat at showing damage or debris, hiding behind texture swaps or low-resolution polygons, Destruction AllStars tries to offer a better experience, according to Berry. PS5 exclusive Destruction AllStars is the next generation of car crashing 2021-02-02T05:00:00Z Apparently, this property — called a constructible polygon — was known to the ancient Greeks. Perspective | What’s the 411 on 771? Experts examine Washington’s new area code. 2020-09-23T04:00:00Z Include an overlaid frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers. High School Statistics 2020-03-27T00:00:00Z We will construct an overlay frequency polygon comparing the scores from Example 2.10 with the students’ final numeric grade. Introductory Statistics 2013-09-19T00:00:00Z Back when I was a kid, the futuristic things you could imagine were sort of low polygon. The visual storytelling of Run The Jewels 2020-07-10T04:00:00Z The main reason to study it is that it's, in some sense, the "next-simplest" regular polygon after the square — after all, a square has 4 sides and a pentagon has 5. Diana Davis’s Beautiful Pentagons 2020-05-23T04:00:00Z It first appeared in the mid-1990s, is extremely quick, and represents 3D shapes in triangles and polygons. Get ready for the 'holy grail' of computer graphics 2020-05-21T04:00:00Z In this chapter, we will briefly look at stem-and-leaf plots, line graphs, and bar graphs as well as frequency polygons, time series graphs, and dot plots. High School Statistics 2020-03-27T00:00:00Z A frequency polygon can also be used when graphing large data sets with data points that repeat. Introductory Statistics 2013-09-19T00:00:00Z The environments are constructed of polygons, and the textures are filtered. How lost classic Doom 64 was revived for modern platforms 2020-03-20T04:00:00Z Trails of black and iridescent vinyl polygons fanned across the floor and up the walls, as though an elaborate origami creature was in the process of unfolding itself. An Artist Whose Muse Is Loneliness 2020-02-26T05:00:00Z I practiced picking up bright-colored polygons and dropping them to the ground, played tetherball, operated a drone, and swing-danced with a character who bore a resemblance to the M&Ms mascot. Taking Virtual Reality for a Test Drive 2019-12-02T05:00:00Z This comparison is achieved by overlaying the frequency polygons drawn for different data sets. High School Statistics 2020-03-27T00:00:00Z Construct a frequency polygon from the frequency distribution for the 50 highest ranked countries for depth of hunger. Introductory Statistics 2013-09-19T00:00:00Z Once settled, spend the less-than-fun task of learning the interface and then it’s time to get dirty with some polygons! How Blake Kathryn pulls futuristic 3D dreamscapes from her subconscious 2019-09-20T04:00:00Z If anything, DMC5 made me appreciate the first Devil May Cry even more — Dante may be rendered in more simplistic polygons, but he’s just as cool as ever. The original Devil May Cry is still worth playing today 2019-07-07T04:00:00Z The game is now rendered with polygons, not pixels, but that’s about the only meaningful change. Bloodstained is the Castlevania game you’ve been waiting for 2019-06-28T04:00:00Z “With the pixel/low polygon graphics of yesteryear, the old TV monitors helped gloss over many imperfections,” he says. Artificial intelligence is helping old video games look like new 2019-04-18T04:00:00Z Include an overlayed frequency polygon and discuss the shapes of the distributions, the center, the spread, and any outliers. Introductory Statistics 2013-09-19T00:00:00Z By way of chaotic page layouts that see irregular polygon panels charging here and there, Hinds’s gory war accounts recall Marvel’s Epic Illustrated magazine as much as they do aging frescoes. Gareth Hinds' illustrated 'Iliad' follows the fights and follies of egomaniacal men 2019-04-05T04:00:00Z The city does not keep historical records of a device’s location, which are erased once a user moves outside that polygon. ShakeAlertLA users concerned about earthquake app’s bugs, crashes and security issues 2019-03-01T05:00:00Z Developers conjure worlds from polygons and code, and when he’s gaming he wants to explore every inch – without the inconvenience of a zombie bearing down on his back. 'Playable shows are the future': what Punchdrunk theatre learned from games 2019-02-08T05:00:00Z “I’d limited sensory feedback to the visual only. But after I started translating odors into polygons, it helped me to see a much clearer picture.” They thought the blue fire was a global hallucination. It was a message 2019-01-30T05:00:00Z Interspersed with those works are small, black-topped tables that bear flat, glazed, multicolored ceramic slabs cut in sinuously contoured shapes and often inset with irregular polygons of similar or contrasting patterns. Dana Schutz’s Paintings Wring Beauty from Worldwide Calamity 2019-01-21T05:00:00Z Draw a bunch of dots on a balloon, or flatten it out and draw a bunch of dots within a polygon on a piece of paper. Making Math Joyful 2018-09-29T04:00:00Z But amid the greenery, brown polygon cutouts of freshly felled logs emerge. Logging in Upper Skagit River watershed put on hold as Seattle has ‘grave concern’ 2018-08-16T04:00:00Z “First of all, I’m not a fan of the polygons,” ZenoMachine told me. How Fortnite Captured Teens’ Hearts and Minds 2018-05-14T04:00:00Z In vector files, the world is populated with discrete objects — polygons representing roads, buildings and political boundaries, for instance. Map-making on a budget 2018-06-04T04:00:00Z The pub was built as an irregular eight-sided polygon and contains a single bar area with the layout of a spiralling "nautilus shell", reflecting the horn in the nursery rhyme the pub is named after. Historic post-war pubs given listed status 2018-05-18T04:00:00Z On the piece of paper, you need the additional requirement that there are an odd number of “AB” edges on the outside of the polygon. Making Math Joyful 2018-09-29T04:00:00Z Soaring over a pastoral village and castle with mountains in the background rendered in cute, blocky polygons, the sense of flight is very real but never overwhelming. SIFF’s VR Zone offers immersive storytelling, from hot-air balloon rides to space exploration 2018-05-17T04:00:00Z Historically, people used to determine a species range by plotting the most extreme observations of that species on a map, drawing a polygon around them and calling it a day. The mysterious and tragic story of the Carolina parakeet, America’s only native parrot 2018-03-30T04:00:00Z Here, the faces are still regular polygons—equilateral triangles, squares, regular pentagons, and so on—but they will mix two or more shapes together. A Few of My Favorite Spaces: The Pseudo-Rhombicuboctahedron 2018-03-31T04:00:00Z A polygon is a set of vertices and edges in a two-dimensional space; a polyhedron is a set of vertices, edges, and faces in three-dimensional space. Federico Ardila's Favorite Theorem 2018-03-25T04:00:00Z You can also buy Blade’s $140 Shadow Box, which is just a polygon full of ports for you to connect easily. This Powerful PC Runs on Any Device—and Never Needs an Upgrade 2018-02-27T05:00:00Z Eminently readable, it takes a relatively holistic ‘mind–body’ view of our abilities, beyond our capacity to decipher rotating polygons or shuffling anagrams. The wilder shores of brain boosting 2018-02-06T05:00:00Z He is most famous today for his extensive commentary on The Nine Chapters on the Mathematical Art, an important early Chinese mathematics text, and his algorithm for computing π using inscribed polygons. A Few of My Favorite Spaces: The Bicylinder 2018-01-06T05:00:00Z If you sit down with a bunch of polygons, those rules, and a lot of patience, you will find 14 solids that qualify. A Few of My Favorite Spaces: The Pseudo-Rhombicuboctahedron 2018-03-31T04:00:00Z These are the five convex polyhedra—tetrahedron, cube, octahedron, dodecahedron, and icosahedron—that are made of congruent regular polygons. Justin Curry's Favorite Theorem 2017-12-09T05:00:00Z This file provides margins and polygons of prediction of malaria at its historical extent. The prevalence of Plasmodium falciparum in sub-Saharan Africa since 1900 : Nature : Nature Research 2017-10-10T04:00:00Z The problem of whether a repeating path exists for a general polygon is still unsolved. Maryam Mirzakhani (1977-2017) : Nature : Nature Research 2017-09-05T04:00:00Z More specifically, interviews with key production personnel cover the marriage between practical and visual effects, creating baby Groot and the trillion polygons used to shape the inside Ego’s planet. Guardians of the Galaxy Vol. 2: Cinematic Universe Edition review (4K UHD) 2017-08-22T04:00:00Z Both are convex solids made from regular polygons, and in both of them, each vertex is surrounded by three squares and a triangle. A Few of My Favorite Spaces: The Pseudo-Rhombicuboctahedron 2018-03-31T04:00:00Z The pieces must be regular polygons, with all sides the same length and all angles equal. With Snowflakes and Unicorns, Marina Ratner and Maryam Mirzakhani Explored a Universe in Motion 2017-08-07T04:00:00Z The rectangle is a simple example of unfolding a polygon to get a surface. A Few of My Favorite Spaces: A 6-Holed Torus 2017-08-05T04:00:00Z Usually when people think about tessellations, they imagine repeated patterns of polygons in the plane or shapes based on those patterns, like Escher’s fanciful frogs and fishes. For World Tessellation Day, Remember to Look Down 2017-06-17T04:00:00Z Another of the more intriguing features is the permafrost polygon. Iceberg 'doodles' trace climate history - BBC News 2017-04-25T04:00:00Z To properly display Behemoth with that technology, we needed 2,000 polygons, but it was a little too much for the hardware. Final Fantasy 7: An oral history 2017-01-09T05:00:00Z The reductive shapes she returns to again and again across disciplines—the cube, the circle, the polygon—are sculptural forms that help her connect with audiences. Es Devlin’s Otherworldly Stage Sets 2016-11-03T04:00:00Z And then you watch them roll around under a thin sheet, and blush furiously, imagining that one of the lumps of polygons is you. The best – and very worst – sex scenes in video game history 2016-10-04T04:00:00Z The pictures he’s posted give me hope that one day I’ll look down to see a 10- or 14-sided polygon paving the way for me. For World Tessellation Day, Remember to Look Down 2017-06-17T04:00:00Z The polygons are typically about 10-40km across, tiling a deep basin that is surrounded by high mountains. Pluto's 'beating heart' explained - BBC News 2016-06-01T04:00:00Z We spent a few days, I remember, optimizing my code, to try to get a few more polygons out, but it didn’t really make much of a difference. Final Fantasy 7: An oral history 2017-01-09T05:00:00Z “If the stove is on, the centers of the polygons will be raised, but if you turn the stove off, the centers of the polygons collapse.” Pluto’s Icy Heart Is Still Beating 2016-06-01T04:00:00Z As soon as they put Joey on vocals and made that four-point thing on stage, they figured it out: don’t leave those positions; don’t become a polygon; make sure it’s a quadrilateral, maintain the corners. Ramones: 'They were outcasts who had contempt for those who rejected them' 2016-04-25T04:00:00Z These multicolor polygons apparently communicate "very directly with the driver through their movements, which are more like gestures than two-dimensional depictions on a display." BMW’s insane car of the future replaces dashboards with augmented reality 2016-03-07T05:00:00Z Taken at face value, these might imply the basin in which the polygons are sitting to be 10-20km deep. Pluto's 'beating heart' explained - BBC News 2016-06-01T04:00:00Z Each vehicle contains between 5 and 7 million polygons in total. I just built an Audi R8 on the moon 2016-01-07T05:00:00Z Fashions are torn up and put back together with muddy textures and scant polygons. How '90s graphics shaped the bleak future of Deus Ex 2015-08-19T04:00:00Z The indoor environments combine flat-shaded polygons with some subtle lighting techniques, resulting in a game that really looks like no other. The future of Japanese video games was at BitSummit 2015 2015-07-24T04:00:00Z Each roughly 20 to 30 kilometres across, the polygons resemble terrain in Earth's Arctic region. Pluto's vast icy plains and gentle hills emerge in new images 2015-07-16T04:00:00Z Broken into an array of polygons, it is devoid of any impact craters. Pluto's 'beating heart' explained - BBC News 2016-06-01T04:00:00Z The company notes that this is no game console racing sim — elements that are normally simple textures, like logos, are rendered polygons here. I just built an Audi R8 on the moon 2016-01-07T05:00:00Z Even more enigmatic are clusters of hills, or clumps that trace the shapes of the troughs and encircle the polygons. Scientists puzzle over Pluto's polygons 2015-07-17T04:00:00Z "Game worlds are built from millions and billions of polygons - human interactions, network interactions are very complex." The serious science (and business) of gaming - BBC News 2015-07-17T04:00:00Z Shallow troughs in the plains border the polygons, some of them apparently filled with a darker material. Pluto's vast icy plains and gentle hills emerge in new images 2015-07-16T04:00:00Z It emphasized sharp geometric forms, such as spheres, polygons, rectangles, trapezoids, zigzags, chevrons and sunburst motifs. Vibrant, Contemporary Art Deco Jewels 2015-07-03T04:00:00Z Closing off your shapes transforms them into beautiful, orderly units, but if I was sketching too loosely, they remained my normal, sloppy polygons. The Paper app can now transform my terrible drawings into slick presentations 2015-05-12T04:00:00Z In reality, permafrost is a patchwork of ice wedges and troughs that break up the landscape into countless polygons. Climate modellers take tropical approach 2015-03-23T04:00:00Z On top of that, the marketing team for The Order: 1886 seemed to be relying primarily on the graphics, but nobody really cares about polygon counts anymore. 'The Order: 1886' Reviews Prove Something Is Changing In Videogames 2015-02-20T05:00:00Z This adorable PC game echoes the classic Super Mario 64, from the swiveling camera that follows the platforming action to the brightly colored polygons. The best new gadgets and deals of the week 2015-02-06T05:00:00Z However, Google Earth Pro offers additional tools designed for business users like the ability to create animation movies and an option to set up measuring areas of polygons or circles. Google Earth Pro Is Now Available For Free 2015-01-30T05:00:00Z It was also one of the first Namco games to use 3D graphics with polygons. New 'Star Wars Battle Pod' Arcade Game Harks Back To Classic Starblade 2015-01-23T05:00:00Z Name another polygon that can do all that. Knicks Dust Off Phil Jackson's Triangle Offense 2014-10-27T04:00:00Z Isogon Proof Think about the class of polygons known as serial isogons. Test Yourself 2014-10-08T04:00:00Z “It’s not the number of polygons that affect the framerate,” he said. Assassin's Creed Unity Will Only Run at 1080p on PCs 2014-10-06T04:00:00Z In one, a mysterious man in a labcoat invites you to work on a project called Mind House, before dissolving into polygons. Microsoft's 2008 recruitment videos are a dark '90s acid trip 2014-08-28T04:00:00Z Those named were taken out and shot on a patch of waste ground outside the prison known as the "polygon", their bodies bulldozed into mass graves. The death list that names 5,000 victims 2014-08-25T04:00:00Z It's an app that lets you make slick and colorful images made of polygons, simply with a touch of your finger. I made psychedelic sci-fi iPad art with one finger 2014-08-07T04:00:00Z But Padgett draws it as a series of overlapping polygons that eventually create a circle. Savage beating transformed Tacoma man into geometry marvel 2014-05-31T04:00:00Z Instead Chartier, spent every day between February 2011 and August 2013 deceiving her many victims, triangulating conversations in one part of the country that overlapped with other triangulated conversations until the triangles became compound polygons. The Birdman’s Vengeful Ghost Not only is the resolution higher, but scenes rely less heavily on textures, instead mapped physical surfaces with more polygons. 'Skylanders Trap Team' Side By Side Comparison Unearths Differences 2014-04-29T11:39:00Z The people didn’t look realistic; they looked like video game characters, splotches of polygons. State of the Art: Virtual Reality, Perfect for an Immersive Society 2014-04-02T12:15:32Z But if we relax the rules, it’s possible to draw a sequence of polygons that seem to converge to the circle but whose perimeters are stubbornly always equal to 4. Counterexamples in Origami 2013-12-01T12:45:23.023Z They include multiple coordinates—they actually define polygons over the surface of the earth. The Hidden Technology That Makes Twitter Huge 2013-11-07T11:00:18Z The whole logo is surrounded by an irregular polygon that vaguely resembles a key. What does the PRISM logo mean? 2013-06-07T12:49:44Z First up, the new engine employs 'Sub D', or subdivision surfaces, a graphical effect which – as the name suggests – subdivides polygons as the camera draws closer to an object, creating almost perfectly curved surfaces. Call of Duty Ghosts preview – the next generation of CoD 2013-05-21T13:54:00Z As the game unfolds the polygons develop personalities, wrangling with concepts such as self-image, individual purpose and acceptance of difference. Thomas Was Alone – review 2013-05-04T23:01:04Z Really, there was only one loosely assembled collection of polygons worth crushing on, Lara Croft. Tomb Raider Review Part 1: Little Girl Lost 2013-03-06T15:03:09Z No amount of polygons will ever match that. PS4: Polygon Counts Have Nothing to Do With Emotion in Games 2013-02-22T22:13:27Z Translation surfaces are just fun to play with on their own, but they also arise naturally when we study billiards on polygons. Try Your Hand at Hands-on Math 2013-01-29T13:45:02.887Z "The engine determines on its own how many polygons it needs to create a perfect smooth surface," he says. Call of Duty Ghosts preview – the next generation of CoD 2013-05-21T13:54:00Z What other kind of scientist spends most of his working day observing and manipulating lines, circles, polygons and their intersections? Truth and beauty in chemistry 2013-01-25T00:15:10.973Z After all, the first gluing will turn the polygon into a tunnel-shaped surface, and then each subsequent gluing will either introduce a new tunnel-shaped handle on the surface or simply sew up some open seams. Getting into Shapes: From Hyperbolic Geometry to Cube Complexes 2012-12-26T17:45:00.337Z A large crystal trackball along with wooden and brass levers help participants build and sculpt polygons on a large screen. Please Play with Your Math: New Museum Opens in New York City 2012-12-19T17:45:00.307Z The polygon in that case is a square or rectangle. Try Your Hand at Hands-on Math 2013-01-29T13:45:02.887Z A pamphlet explains regular polygons and Platonic, Johnson and Archimedean solids. All I Want for Christmas Is Dinosaur Dung 2012-11-21T19:15:00.253Z Models are said to contain 10 times the polygon count seen in most AAA games at the moment. 'Star Citizen' Smashes Previous Video Game Crowd-Funding Records Raising $6.2 Million 2012-11-20T02:50:27Z Instead of displaying the pixels and textures, 3D machine vision is pulling in those polygons and textures. Perceptual Computing: The Key to Intel's Future 2012-09-21T14:34:42Z Other investigators found similar results with polygons, photographs and other images that were administered subliminally. Readers Respond to Feeling Free and More 2012-09-14T11:45:00.377Z SchoolBook readers learned about the faulty polygon that disgraced this spring’s fifth-grade math test. SchoolBook: Before Dropping Algebra, Fix Math Education 2012-08-14T16:16:25Z However, there was still great variation across the districts, especially for geometry topics including transformations, three-dimensional geometry, polygons, and circles. Math Teachers Feel They're Poorly Prepared 2012-07-13T15:45:00.223Z Characters have moved from sprites to polygons, to eerily lifelike motion-capture performances – but there's no chance of Mario making a dimensional leap into realism. Can the Wii U and Super Mario come to the rescue of console gaming? 2012-06-05T13:18:44Z Hero’s expressions for the areas of regular polygons of from 5 to 12 sides in terms of the squares of the sides show interesting approximations to the values of trigonometrical ratios. Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 4 "Hero" to "Hindu Chronology" 2012-04-04T02:00:56.447Z Instead of a polygon he chose a cone for the outline of his building, and he carried up the elevation in that form. The Sea: Its Stirring Story of Adventure, Peril, & Heroism. Volume 2 2012-04-03T02:00:36.237Z The perpendicular from the center to one of the sides of a regular polygon. Webster's Unabridged Dictionary 2012-03-24T02:00:23.513Z The exterior side of the polygon, or that imaginary line which connects the salient angles of two adjacent bastions. Webster's Unabridged Dictionary (2nd 100 Pages) 2012-03-24T02:00:19.387Z The application of the scale is as follows:— The point o represents the centre of the polygon; hence from o to the requisite line of division on o b represents the radius of the work. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z The plinth is a polygon of twenty sides. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 10 "David, St" to "Demidov" 2012-02-17T03:00:33.923Z They are remarkable for the geometrical character of their forms, consisting of circles, triangles and polygons of infinite variety. Through a Microscope Something of the Science Together with many Curious Observations Indoor and Out and Directions for a Home-made Microscope. 2011-12-29T03:00:20.733Z The triangle ABC from which the above geometrical construction started may be replaced by a polygon whose sides are circles. Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" 2011-12-16T03:00:12.320Z The sum of the interior angles of a polygon is equal to two right angles, taken as many times less two as the figure has sides. The Teaching of Geometry 2011-10-12T02:00:52.133Z The proof of the construction is shown in the figure, the hexagon and other polygons being marked for clearness of illustration. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z Euclid does not use the word regular, but he describes the polygons in question as equiangular and equilateral. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z A polygon, however the number of its sides be augmented, can never make a circle in the exact sense. An Introduction to the History of Japan 2011-08-25T02:00:29.177Z He begins with a function having a graph in the form of a regular polygon, and interpolates additional angular points in an ordered sequence without limit. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z There are several proofs, but all are based upon the possibility of dissecting the polygon into triangles. The Teaching of Geometry 2011-10-12T02:00:52.133Z For finding the lengths of the sides of regular polygons, scales, such as shown in Figs. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z This shows that regular polygons of 7, 9, 13 sides cannot thus be constructed, but that a regular polygon of 17 sides is possible; for 17 = 24 + 1. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Exceedingly fine consoles carry the ceiling, whose carved panels are profusely ornamented with crowns, polygons, florets and heads of angels. Rheims and the Battles for its Possession Illustrated Michelin Guides to the Battle-Fields (1914-1918) 2011-07-31T02:00:09.963Z A particular case of the problem is that of the conformal representation of the interior of a closed polygon upon the upper half of the plane of a complex variable t. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" 2011-08-15T02:00:28.473Z The point may even be taken on one side, or outside the polygon, but the proof is not so simple. The Teaching of Geometry 2011-10-12T02:00:52.133Z From the point o, measured along the line having the requisite degrees of angle, to the horizontal line denoting the radius of the work, gives the diameter across corners of the polygon. Modern Machine-Shop Practice, Volumes I and II 2012-03-23T02:00:33.140Z As easy deductions not given by Euclid but added by Simson follow the propositions about the angles in polygons, they are given in English editions as corollaries to Prop. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z You will find that if the radius of the circle be one, the side of the polygon is .264, etc. The Seven Follies of Science [2nd ed.] A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. 2011-06-30T02:00:34.290Z Another thing that can be taught by paper-folding is to divide polygons, regular or irregular, into triangles, and thus let them learn that every polygon contains as many triangles as it has sides, less two. Guide to the Kindergarten and Intermediate Class and Moral Culture of Infancy. 2011-06-30T02:00:25.950Z Teachers who desire to do so may suggest to particularly good students the proving of the theorem for a concave polygon, or even for a cross polygon, although the latter requires negative angles. The Teaching of Geometry 2011-10-12T02:00:52.133Z ABC is an exterior angle or angle of the polygon. Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 6 "Foraminifera" to "Fox, Edward" 2011-04-22T02:00:08.637Z Herewith a means is found to compare areas of different polygons. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z You may do this: calculate the side of a polygon of 24 sides inscribed in a circle. The Seven Follies of Science [2nd ed.] A popular account of the most famous scientific impossibilities and the attempts which have been made to solve them. 2011-06-30T02:00:34.290Z It may be a triangle, a quadrangle, or any other polygon best suited to the ground. Osceola the Seminole The Red Fawn of the Flower Land 2011-03-22T02:00:20.123Z In the absence of this exercise it is well to take any irregular polygon and measure the angles by the help of a protractor, and thus accomplish the same results. The Teaching of Geometry 2011-10-12T02:00:52.133Z The perpendicular, except for polygons of less than six sides, is one-sixth, and the faces of the bastions two-sevenths of the exterior side. Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 6 "Foraminifera" to "Fox, Edward" 2011-04-22T02:00:08.637Z We need only construct two rectangles equal in area to the given polygons, and having each one side of given length. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z Normal type—polygon of 5 sides—with concave sides due to contact of the component units of textile filament. Encyclopaedia Britannica, 11th Edition, Volume 10, Slice 3 "Fenton, Edward" to "Finistere" 2011-03-14T03:01:00.580Z How this fun-making, fun-loving, story-telling nonsense rhymer could turn in a twinkling into the grave, precise “don” and discourse on rectangles, and polygons, and parallel lines, and unknown quantities was more than they could understand. Lewis Carroll in Wonderland and at Home The Story of His Life 2011-03-01T03:00:47.317Z The sum of the exterior angles of a polygon, made by producing each of its sides in succession, is equal to four right angles. The Teaching of Geometry 2011-10-12T02:00:52.133Z The funicular polygon for the fictitious loads can thus be drawn, and the direction of the central-line at the supports is determined when the bending moments at the supports are known. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z The method of Antiphon, in assuming that by continued division a polygon can be constructed coincident with the circle, demanded that magnitudes are not infinitely divisible. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z And all the people whose unbidden censors had been forcing good round impulses into stubborn parental polygons immediately felt the relief of this revelation. The Invisible Censor 2011-01-29T03:00:20.267Z Under the new math standards, eighth graders would be expected to use the Pythagorean theorem to find distances between points on the coordinate plane and to analyze polygons. National Academic Standards Are Released 2010-06-02T16:02:00Z In the absence of any outdoor work a protractor may be used to measure the exterior angles of a polygon drawn on paper. The Teaching of Geometry 2011-10-12T02:00:52.133Z A section of such a polyhedral structure would appear as a tissue of polygons. The Mechanism of Life As every polygon can be divided into a number of triangles, we can now construct a parallelogram having a given angle, say a right angle, and being equal in area to a given polygon. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z If now we draw one grand curve, circumscribing all the polygons, it is certain that the planet must be within that curve. Astronomical Discovery Or does each interpretation intimate a side of the polygon? Letters from a Father to His Son Entering College Still more elaborate designs, based chiefly upon the square and circle, are shown in the window traceries on page 225, and others will be given in connection with the study of the regular polygons. The Teaching of Geometry 2011-10-12T02:00:52.133Z It is a regular polygon with five bastions, founded by Frederick III. about 1662-1663. Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 3 "Convention" to "Copyright" For each of the triangles into which the polygon has been divided, a parallelogram may be constructed, having one side equal to a given straight line and one angle equal to a given angle. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z If we do the same thing with different periodic times, we shall get different polygons; and the extreme periodic times that can be allowed will be indicated by the polygons becoming points. Astronomical Discovery Its walls from the exterior are seen to be richly sculptured and surmounted by a lantern, or windowed dome, surrounded by high pinnacles and spires placed on the angles of the polygon base. The Cathedrals of Northern Spain Book IV treats of the area of polygons, and offers a large number of practical applications. The Teaching of Geometry 2011-10-12T02:00:52.133Z The polygons adopted were of 20 or more sides approximating to a circular form. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 5 "Clervaux" to "Cockade" Bryson of Heraclea took an important step when he circumscribed, in addition to inscribing, polygons to a circle, but he committed an error in treating the circle as the mean of the two polygons. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z If we compute, for all these different varieties of elements, the place of the planet for 1847, its locus will evidently be a discontinuous curve or curvilinear polygon. Astronomical Discovery The fourth book deals with the circle in its relations to inscribed and circumscribed triangles, quadrilaterals and regular polygons. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 4 "Cincinnatus" to "Cleruchy" It is customary to consider the field as a polygon, and to draw a meridian line, letting fall perpendiculars upon it from the vertices, thus forming triangles and trapezoids that can easily be measured. The Teaching of Geometry 2011-10-12T02:00:52.133Z Rudyerd saw the errors in Winstanley’s building, and avoided them: instead of a polygon, he chose a circle for the outline of his building, and carried up the elevation in that form. Smeaton and Lighthouses A Popular Biography, with an Historical Introduction and Sequel Whilst it is always possible to draw a circle which is inscribed in or circumscribed about a given triangle, this is not the case with quadrilaterals or polygons of more sides. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z But Yb may be expanded into a pentagon, hexagon, or polygon; and Xb then may have five, six, or many spurs. The Stones of Venice, Volume I (of 3) The latter, as we know, calculated the perimeters of successive polygons, passing from one polygon to another of double the number of sides; in a similar manner Gregory calculated the areas. Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 4 "Cincinnatus" to "Cleruchy" Arabic Pattern The object of this proposition is, of course, to prepare the way for finding the perimeter of a polygon of 2n sides, knowing that of n sides. The Teaching of Geometry 2011-10-12T02:00:52.133Z If these lines form a closed polygon the forces are in equilibrium. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 3 "Destructors" to "Diameter" Euclid considers the regular polygons of 4, 5, 6 and 15 sides. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z It stands free on three sides, but on the south towards the water it is protected by a great projecting bastion, which, rather wider than the tower, ends at the water edge in a polygon. Portuguese Architecture The dome, which is large in proportion to the church, is a polygon of sixteen sides. Byzantine Churches in Constantinople Their History and Architecture At this point it is customary to define similar polygons as such as have their corresponding angles equal and their corresponding sides proportional. The Teaching of Geometry 2011-10-12T02:00:52.133Z Reciprocal Diagrams.—When to every point of concourse of the lines in the diagram of stress corresponds a closed polygon in the skeleton of the frame, the two diagrams are said to be reciprocal. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 3 "Destructors" to "Diameter" The fourth book contains only problems, all relating to the construction of triangles and polygons inscribed in and circumscribed about circles, and of circles inscribed in or circumscribed about triangles and polygons. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z In the nave it is an irregular polygon in section, and in the chancel is nearly a semicircle, having nine equal sides. Portuguese Architecture The central apse has five sides of a very flat polygon, and is decorated with hollow niches on each side of a large triple window. Byzantine Churches in Constantinople Their History and Architecture Book V treats of regular polygons and circles, and includes the computation of the approximate value of π. The Teaching of Geometry 2011-10-12T02:00:52.133Z We might in this way form a series of polygons of forces, one for each joint of the frame. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 3 "Destructors" to "Diameter" Of those for which this is possible the regular polygons, i.e. polygons which have all their sides and angles equal, are the most interesting. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z We find them fretted over with polygons, like those of a honeycomb, only somewhat less mathematically exact, and the centre of every polygon contains its many-rayed star. The Cruise of the Betsey or, A Summer Ramble Among the Fossiliferous Deposits of the Hebrides. With Rambles of a Geologist or, Ten Thousand Miles Over the Fossiliferous Deposits of Scotland The drum of the dome is a polygon of twelve sides, and was lighted by the same number of windows. Byzantine Churches in Constantinople Their History and Architecture It opens with a definition of a regular polygon as one that is both equilateral and equiangular. The Teaching of Geometry 2011-10-12T02:00:52.133Z We also represent every stress twice over, for it appears as a side of both the polygons corresponding to the two joints between which it acts. Encyclopaedia Britannica, 11th Edition, Volume 8, Slice 3 "Destructors" to "Diameter" We conclude with a few theorems about regular polygons which are not given by Euclid. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The line of fortification, embraces a sort of irregular polygon of an eliptical form, the greatest diameter of which is 2,100 yards, and the smallest 1,200 yards in extent. Scientific American magazine, Vol. 2 Issue 1 The advocate of Industry and Journal of Scientific, Mechanical and Other Improvements If that number be even, it is the number of sides of the ultimate polygon: if that number be odd, it is the half of the number of sides of the ultimate polygon. Notes and Queries, Number 219, January 7, 1854 A Medium of Inter-communication for Literary Men, Artists, Antiquaries, Genealogists, etc While in elementary geometry the only regular polygons studied are convex, it is interesting to a class to see that there are also regular cross polygons. The Teaching of Geometry 2011-10-12T02:00:52.133Z You will find that if the radius of the circle be one, the side of this polygon is .264 etc. A Budget of Paradoxes, Volume II The straight lines bisecting the angles in the regular polygon meet in the same point. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z We conceive a polygon with a thousand sides, said Descartes, although we do not see it in imagination: it is enough that we can clearly represent the possibility of constructing it. Creative Evolution But if four-seventeenths of a revolution had been taken for the angle of the creases, the ultimate polygon would have had thirty-four sides. Notes and Queries, Number 219, January 7, 1854 A Medium of Inter-communication for Literary Men, Artists, Antiquaries, Genealogists, etc At the vertices of this polygon the Pythagoreans placed the Greek letters signifying "health." The Teaching of Geometry 2011-10-12T02:00:52.133Z Or you may do this: calculate the side of a polygon of 24 sides inscribed in a circle. A Budget of Paradoxes, Volume II Hence we can divide a circumference into 2n equal parts as soon as it has been divided into n equal parts, or as soon as a regular polygon of n sides has been constructed. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z They entered a corridor that led to an open landing in the shape of a many-sided polygon, each side being a door. A Son of Hagar A Romance of Our Time The side of an imaginary polygon, upon which the plan of a fortification is constructed. The Sailor's Word-Book An Alphabetical Digest of Nautical Terms, including Some More Especially Military and Scientific, but Useful to Seamen; as well as Archaisms of Early Voyagers, etc. The third is the somewhat interesting but mathematically unimportant application of the regular polygons to geometric design. The Teaching of Geometry 2011-10-12T02:00:52.133Z The rectangle under this doubled segment and the radius is equal to the square of the side of an inscribed regular polygon of 20 sides. A Budget of Paradoxes, Volume II Euclid shows how to construct regular polygons of 3, 4, 5 and 15 sides. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z And the echoes jump, and tinkle, and swell In the Cathedral's carved stone polygons. American Poetry, 1922 A Miscellany In fortification, the angle formed at the centre of the polygon by lines drawn from thence to the points of two adjacent bastions. The Sailor's Word-Book An Alphabetical Digest of Nautical Terms, including Some More Especially Military and Scientific, but Useful to Seamen; as well as Archaisms of Early Voyagers, etc. For example, the classification of polygons or of quadrilaterals, once so popular in textbook making, has generally been abandoned as tending to create or perpetuate unnecessary terms. The Teaching of Geometry 2011-10-12T02:00:52.133Z At last, however, when Mr. Smith flatly denied that the area of the circle lies between those of the inscribed and circumscribed polygons, E. M. was fairly beaten, and gave up the task. A Budget of Paradoxes, Volume II Till the beginning of the 19th century nothing was added to the knowledge of regular polygons as given by Euclid. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z It was introduced by the Greeks, who regarded a circle as differing infinitesimally from a polygon with a very large number of very small equal sides. Mysticism and Logic and Other Essays A regular polygon, having twelve sides and as many angles. The Sailor's Word-Book An Alphabetical Digest of Nautical Terms, including Some More Especially Military and Scientific, but Useful to Seamen; as well as Archaisms of Early Voyagers, etc. The section is a polygon similar to the base. The Teaching of Geometry 2011-10-12T02:00:52.133Z It was also found that, by making bends in the form of polygons with 10 ft. sides instead of in the form of curves, there was a material saving in expensive form work. Concrete Construction Methods and Costs For this polygon the other three problems mentioned are not solved. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The proof of the construction is shown in the figure, the hexagon and other polygons being marked simply for clearness of illustration. Mechanical Drawing Self-Taught His Introductio contains considerable work on star polygons, a favorite study in the Middle Ages and early Renaissance. A Budget of Paradoxes, Volume I The medieval astrologers wished to make geometry more practical, and so they carried to a considerable length the study of the star polygon, a figure that they could use in their profession. The Teaching of Geometry 2011-10-12T02:00:52.133Z Warned by the unanswerable arguments of Zeno against infinitesimals, mathematicians substituted for this the statement that, by continuing the construction, we can inscribe a polygon approaching equality with the circle as nearly as we please. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield This point is the centre of the circles circumscribed about and inscribed in the regular polygon. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The term polygon is applied to figures having flat sides equidistant from a common centre. Mechanical Drawing Self-Taught He had reached the polygon and listened attentively. The Son of Monte-Cristo, Volume II The former attempted to find the area of a circle by doubling the number of sides of a regular inscribed polygon, and the latter by doing the same for both inscribed and circumscribed polygons. The Teaching of Geometry 2011-10-12T02:00:52.133Z This he does by inscribing and circumscribing regular polygons of 96 sides and calculating approximately their respective perimeters. The Legacy of Greece Essays By: Gilbert Murray, W. R. Inge, J. Burnet, Sir T. L. Heath, D'arcy W. Thompson, Charles Singer, R. W. Livingston, A. Toynbee, A. E. Zimmern, Percy Gardner, Sir Reginald Blomfield The straight lines perpendicular to and bisecting the sides of any regular polygon meet in a point. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z From this centre a circle may be struck that will touch all the corners of the sides of the polygon, or the point of each side that is central in the length of the side. Mechanical Drawing Self-Taught With its 'polygon' and its promenades the little city of La Fère, set in the midst of well-tilled and fertile fields, has a martial air which harmonises with its history. France and the Republic A Record of Things Seen and Learned in the French Provinces During the 'Centennial' Year 1889 They thus approximately exhausted the area between the polygon and the circle, and hence this method is known as the method of exhaustions. The Teaching of Geometry 2011-10-12T02:00:52.133Z She obligingly furnished a sample: "The perimeters of similar polygons are as their homologous sides." Just Patty Three regular polygons of six or more sides cannot form a solid angle. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z In both of these examples we have assumed that the diameter across corners of the polygon was given, but suppose the diameter across the flats were given, and the construction is a little more complicated. Mechanical Drawing Self-Taught The mathematician may logically 'develop' the concept of a circle from that of a polygon, but it by no means follows that the circle is phylo-genetically derived from the polygon. At the Deathbed of Darwinism A Series of Papers It will be noticed that Euclid did not use or define the word "polygon." The Teaching of Geometry 2011-10-12T02:00:52.133Z Apothegm.—The perpendicular line A from the center to one side of a regular polygon. Carpentry for Boys In a Simple Language, Including Chapters on Drawing, Laying Out Work, Designing and Architecture With 250 Original Illustrations It will be understood that an n-side is different from a polygon of n sides. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z In drawing a polygon, one of these circles is used upon which to divide the figure into the requisite number of divisions for the sides. Mechanical Drawing Self-Taught They were taking turns tossing some small polygons, and evidently the objective of whatever they were doing lay in the way the polygons fell. Rebels of the Red Planet That is, in the second of these figures the shaded portion is not considered a polygon. The Teaching of Geometry 2011-10-12T02:00:52.133Z It represents the radial line of a polygon the same as the radius represents half the diameter of a circle. Carpentry for Boys In a Simple Language, Including Chapters on Drawing, Laying Out Work, Designing and Architecture With 250 Original Illustrations These have many properties which are quite analogous to those of triangles and polygons in a plane. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z A regular polygon is one the sides of which are all of an equal length. Mechanical Drawing Self-Taught He concentrated it, he focused it, and one of the polygons rose slowly from the ground and drifted into the air above the Martians' heads. Rebels of the Red Planet For example, how many diagonals must be drawn in order to make a quadrilateral rigid? to make a pentagon rigid? a hexagon? a polygon of n sides. The Teaching of Geometry 2011-10-12T02:00:52.133Z This polygon falls under the definition of a reciprocal figure given by Clerk Maxwell, if we consider the frame as a point in equilibrium under the external forces. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 "Brescia" to "Bulgaria" In the plane we may draw polygons; and in the pencil or in the point, solid angles, and so on. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The angles of regular polygons are designated by their degrees of angle, "at the centre" and "at the circumference." Mechanical Drawing Self-Taught Dark could feel the strength that went out and raised the polygon, like an invisible extension of himself. Rebels of the Red Planet His Book IV is devoted to the construction of certain regular polygons, and his propositions on this subject are now embodied in Book V as it is usually taught in America. The Teaching of Geometry 2011-10-12T02:00:52.133Z A single known force in a polygon determines the direction of all the others, as these must all correspond with arrows pointing the same way round the polygon. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 "Brescia" to "Bulgaria" It is required to draw the plan and elevation of a polygon of which the real shape and position in a given plane α are known. Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" 2011-09-19T02:00:10.473Z The angles of regular polygons: Trigon, at the centre, 120°, at the circumference, 60°. Mechanical Drawing Self-Taught Then he felt another force seize the polygon, and it was drawn back firmly and without hesitation to its former place. Rebels of the Red Planet The fact that we may use for tiles on a floor three regular polygons—the triangle, square, and hexagon—is noteworthy, a fact that Proclus tells us was recognized by Pythagoras. The Teaching of Geometry 2011-10-12T02:00:52.133Z For longer bridges the funicular polygon affords a method of determining maximum bending moments which is perhaps more convenient. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 "Brescia" to "Bulgaria" It is built on the plan of a regular polygon of nine sides. God Passes By The dotted line 2-1/2 shows the length of the side of a nine-sided polygon, having a radius across corners of 2-1/2 inches. Mechanical Drawing Self-Taught "Rinse your own mouth, you wicked-minded old polygon—to the deuce I pitch you, you blustering intersection of a stinking superficies!" Irish Wit and Humor Anecdote Biography of Swift, Curran, O'Leary and O'Connell This review of the names of the polygons offers an opportunity to impress their etymology again on the mind. The Teaching of Geometry 2011-10-12T02:00:52.133Z When all the forces are vertical, as will be the case in girders, the polygon of external forces will be reduced to two straight lines, fig. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 "Brescia" to "Bulgaria" The landing-spot was a naked mass of what seemed to be basalt polygons, similar to the Giants' Causeway of Ireland back on Earth. Operation: Outer Space A line at 75° for polygons having 12 sides. Mechanical Drawing Self-Taught They do not walk into the polygon, but rather tumble into it, running, hopping, stumbling, cutting capers, like a troop of clumsy, ill-trained clowns. The Delight Makers In connection with the study of the regular polygons some interest attaches to the reference to various forms of decorative design. The Teaching of Geometry 2011-10-12T02:00:52.133Z Fig. 67a shows the reciprocal figure or polygon for the external forces on the assumption that the reactions are slightly inclined. Encyclopaedia Britannica, 11th Edition, Volume 4, Part 3 "Brescia" to "Bulgaria" In this situation, they generally assume the shape of irregular polygons, with angles somewhat rounded; a form apparently caused by the lateral pressure of the contiguous pieces. Essays in Natural History and Agriculture The method of the equilibrium polygon is a safe, sane, and sound way to calculate an arch. Some Mooted Questions in Reinforced Concrete Design American Society of Civil Engineers, Transactions, Paper No. 1169, Volume LXX, Dec. 1910 Some are upright, and some have basalt melted into the layers, and crystallized in irregular polygons. The Last Journals of David Livingstone, in Central Africa, from 1865 to His Death, Volume II (of 2), 1869-1873 Continued By A Narrative Of His Last Moments And Sufferings, Obtained From His Faithful Servants Chuma And Susi Given the side and the radius of a regular inscribed polygon, to find the side of the regular inscribed polygon of double the number of sides. The Teaching of Geometry 2011-10-12T02:00:52.133Z The exterior of the pipe forms a polygon, and the band is in perfect contact only at the angles. The Water Supply of the El Paso and Southwestern Railway from Carrizozo to Santa Rosa, N. Mex. American Society of Civil Engineers: Transactions, No. 1170 The following figures have been employed for the plan of simple intrenchments, viz.: the polygon, redan, lunette, mitre, star-fort, and bastion. Elements of Military Art and Science Or, Course Of Instruction In Strategy, Fortification, Tactics Of Battles, &C.; Embracing The Duties Of Staff, Infantry, Cavalry, Artillery, And Engineers; Adapted To The Use Of Volunteers And Militia; Third Edition; With Critical Notes On The Mexican And Crimean Wars. Thus among flowers there are many which have their leaves disposed in ordered polygons, to the number of 3, 4, 5, or 6 sides, but not more. Treatise on Light Thus he worked out by means of a polygon, whose sides were of unequal lengths, a theory of friendship which is too intricate to explain here. Twelve Men The Greek plan was generally to use both an inscribed and a circumscribed polygon, thus approaching the circle as a limit both from without and within. The Teaching of Geometry 2011-10-12T02:00:52.133Z At each corner of the polygon was a bastion, in which were stationed the big guns. France in the Nineteenth Century It is usually composed of four or five fronts, but it may be applied to a polygon of any number of sides. Elements of Military Art and Science Or, Course Of Instruction In Strategy, Fortification, Tactics Of Battles, &C.; Embracing The Duties Of Staff, Infantry, Cavalry, Artillery, And Engineers; Adapted To The Use Of Volunteers And Militia; Third Edition; With Critical Notes On The Mexican And Crimean Wars. Towards the base is a very fine-grained sandstone, and at the summit I found a quartzose rock, possessing a tendency to break into irregular polygons, some of the faces being curved. Three Expeditions into the Interior of Eastern Australia, Volume 1 The room was an odd-shaped polygon, partially lined with eight boilers, whose great wooden lids were raised by pulleys and balanced by red-painted iron balls. Children of the Ghetto A Study of a Peculiar People The sum of the sides of a spherical polygon is less than 360°. The Teaching of Geometry 2011-10-12T02:00:52.133Z It is a polygon, with sides of pannelled work, each compartment occupied by a pointed arch, with tracery in the spandrils. Account of a Tour in Normandy, Volume 1 As the trap is columnar, and the columns are horizontal in their direction, the joints of the polygons show along the surface of the ramparts, causing them to look like the work of Cyclopean builders. Overland A polygon of three sides is called a triangle. Composition-Rhetoric Just so, in a curve, the same direction is never followed, and the conception of it as a myriad-sided polygon falsifies it by supposing it to do so for however short a time. A Pluralistic Universe Hibbert Lectures at Manchester College on the Present Situation in Philosophy It is easily seen that this is true only with the limitation set forth in most textbooks, that the spherical polygons considered are convex. The Teaching of Geometry 2011-10-12T02:00:52.133Z Yet the polygons and curves were always regarded as distinct lines, differing inappreciably, but different. The Atlantic Monthly, Volume 03, No. 20, June, 1859 Of nouns in on, derived from Greek, the greater part always form the plural regularly; as, etymons, gnomons, ichneumons, myrmidons, phlegmons, trigons, tetragons, pentagons, hexagons, heptagons, octagons, enneagons, decagons, hendecagons, dodecagons, polygons. The Grammar of English Grammars We do not know how motion from a state of rest begins, any more than we know how a polygon becomes a circle. Scientific American Supplement, No. 531, March 6, 1886 The Colosseum is what is termed a polygon of sixteen sides, 130 feet in diameter. The Mirror of Literature, Amusement, and Instruction Volume 13, No. 354, January 31, 1829 Congruent polygons have mutually equal sides and mutually equal angles, while equivalent polygons have no equality save that of area. The Teaching of Geometry 2011-10-12T02:00:52.133Z The sides of the polygons, it was evident, must then be infinitely small. The Atlantic Monthly, Volume 03, No. 20, June, 1859 This was done, for instance, by Gauss when he found a necessary and sufficient condition that a regular polygon of a prime number of sides can be constructed by elementary methods. Popular Science Monthly Oct, Nov, Dec, 1915 — Volume 86 On the surface of the earth, at the equator, each side of this polygon would be one-sixtieth of a geographical mile, or 101.46 feet. Scientific American Supplement, No. 531, March 6, 1886 Her hull framework in section formed a regular polygon of seventeen sides, and was built up of triangular aluminium girders. British Airships, Past, Present, and Future To Euclid the multiplication by a cube or a polygon or a sphere would have been entirely meaningless, as it always is from the standpoint of pure geometry. The Teaching of Geometry 2011-10-12T02:00:52.133Z The churches were deliciously cool, but the gray streets were stifling, and the great, dove-tailed polygons of pavement as hot to the tread as molten lava. Roderick Hudson Then suddenly through a polygon of green, in the half darkness under the luxuriant growth, I saw the creature we were hunting. The Island of Doctor Moreau D'Urban's group, distant 150 miles lower down the Darling, consisted of a quartzose rock, exactly similar to this, exhibiting a tendency, like it, to break into irregular polygons, some of the faces being curved. Journal of an Expedition into the Interior of Tropical Australia The hull was composed of wooden transverse frames forming a polygon of sixteen sides, with radial wiring fitted to each transverse frame. British Airships, Past, Present, and Future Just as we may produce the sides of a regular polygon and form a regular cross polygon or stellar polygon, so we may have stellar polyhedrons. The Teaching of Geometry 2011-10-12T02:00:52.133Z At each exterior angle of the imperfect polygon was a column with a cubiform capital. Two Summers in Guyenne String-pieces resting in forks cut in the ends of these posts, form a polygon at the base and also upon the ground floor. Houses and House-Life of the American Aborigines The other polygons are taught the children in rotation, in the same simple manner, all tending to please and edify them. The Infant System For Developing the Intellectual and Moral Powers of all Children, from One to Seven years of Age The hull structure was of the "Zahm" shape as in No. 1, a considerable portion being parallel sided, while in transverse section it formed a 17-sided polygon. British Airships, Past, Present, and Future The same is true of the following proposition on the area of a spherical polygon. The Teaching of Geometry 2011-10-12T02:00:52.133Z Taking the whole series of them, Mr. Lowell very justly compares them to "a network which triangulates the surface of the planet like a geodetic survey, into polygons of all shapes and sizes." Is Mars habitable? A critical examination of Professor Percival Lowell's book "Mars and its canals," with an alternative explanation Rare and far, the sails of junks patched the horizon with umber polygons. Dragon's blood A. Polygons; those that have their sides and angles equal we would call regular polygons. The Infant System For Developing the Intellectual and Moral Powers of all Children, from One to Seven years of Age It was resolved to continue these experiments by adding a subsidiary system of wires with running blocks, the whole wiring to form a polygon revolving round a fixed centre. British Airships, Past, Present, and Future It is helpful in trigonometry, and it saves confusion in the case of a reflex angle in a polygon. The Teaching of Geometry 2011-10-12T02:00:52.133Z "Just so; but, of course, his mother thinks him a polygon." Struggling Upward, or Luke Larkin's Luck All propositions are approximations to an elusive truth, and we employ them as the mathematician studies the circle by supposing it to be a polygon of a very great number of sides. First and Last Things A. Irregular polygons, and the smallest number of sides a polygon can have is three, and the number of corners are always equal to the number of sides. The Infant System For Developing the Intellectual and Moral Powers of all Children, from One to Seven years of Age I will make her sweets like globes of crystal, like cubes of jade, like polygons of ruby. Hassan : the story of Hassan of Bagdad, and how he came to make the golden journey to Samarkand : a play in five acts The areas of two similar polygons are to each other as the squares on any two corresponding sides. The Teaching of Geometry 2011-10-12T02:00:52.133Z It was about twelve feet long, the lower part polygon, the upper round, and the top a cone similar in form to the stones dedicated to Mahadeo in the temples of the Hindoos. Diary of a Pedestrian in Cashmere and Thibet "All this morning I have been busy with star-shaped polygons, and have proceeded from surprise to surprise...perceiving in the distance, as I advanced, unforeseen and marvellous consequences." Fabre, Poet of Science These several conditions ought to result in a geometrically ordered dwelling, having a regular polygon as an opening. The Life of the fly; with which are interspersed some chapters of autobiography Mrs. Grubb's family circle was really not a circle at all; it was rather a polygon—a curious assemblage of distinct personages. Marm Lisa After they are proved it is assumed that the circle is the limit of the regular inscribed and circumscribed polygons as the number of sides increases indefinitely. The Teaching of Geometry 2011-10-12T02:00:52.133Z There was ample scope for every imaginable polygon; trapezes and triangles could be combined in all sorts of ways. The Mason-Bees Within the gate a vast and glowing garden was seen—all squares, circles, and polygons. The Golden Dog Picture a circle surrounded by a bristling mass of tangents, or rather a polygon with its sides extended in all directions. The Life of the fly; with which are interspersed some chapters of autobiography It is possible to start with any regular polygon of which the side can conveniently be found in terms of the radius. The Teaching of Geometry 2011-10-12T02:00:52.133Z Of these regular polygons two are of special interest, and these will now be considered. The Teaching of Geometry 2011-10-12T02:00:52.133Z The polygon came to a full stop, the diagonals suffered. The Mason-Bees I acquired a taste for it myself and joined the nest-hunters, putting off the polygon till later. The Mason-Bees |
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