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单词 radius vector
例句 radius vector
Note that the torque vector is orthogonal to both the force vector and the radius vector. Calculus, Volume 3 2016-03-30T00:00:00Z
In a curve referred to polar co”rdinates, any point for which the radius vector is a maximum or minimum. Webster's Unabridged Dictionary 2012-03-24T02:00:23.513Z
So Kepler formulated his second great law of planetary motion very simply: the radius vector of any planet describes, or sweeps over, equal areas in equal times. Astronomy: The Science of the Heavenly Bodies 2012-03-17T02:01:02.630Z
Hodograph, hod′o-graf, n. a curve the radius vector of which represents in direction and magnitude the velocity of a moving particle—a term suggested by Sir W. R. Hamilton. Chambers's Twentieth Century Dictionary (part 2 of 4: E-M) 2012-01-11T03:00:23.770Z
Since this is so, we may define Spring by the following geometric representation in which the angle ZOP, made by the radius vector with the fundamental plane, shows a springlike tendency. Of All Things 2011-10-09T02:00:26.957Z
This force is in a direction perpendicular to the radius vector and to the plane containing it and the element of current. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 2 "Ehud" to "Electroscope" 2011-01-29T03:00:23.777Z
In Kepler's form of stating the law the radius vector is supposed to travel with the planet and in each day to sweep over the same fractional part of the total area of the orbit. A Text-Book of Astronomy 2011-01-05T03:00:57.347Z
Hansen, therefore, shows how the radius vector is corrected so as to give that of the true planet. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 7 "Arundel, Thomas" to "Athens"
The anomaly is then the angle BFP which the radius vector makes with the major axis. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 2 "Anjar" to "Apollo"
I therefore considered that the trial, whether the error of radius vector would be explained by the same theory which explained the error of longitude, would be truly an experimentum crucis. Astronomical Discovery
Hence the relation between the radius vector and the perpendicular on the tangent of the rolling curve must be identical with the relation between the normal PN and the ordinate PR of the traced curve. Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3 "Capefigue" to "Carneades"
The radius vector of each planet moves over equal areas in equal times. A Text-Book of Astronomy 2011-01-05T03:00:57.347Z
Of the three co-ordinates, the radius vector does not admit of direct measurement, and must be inferred by a combination of indirect measurements and physical theories. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 7 "Arundel, Thomas" to "Athens"
And the way it increases will be for the radius vector to lengthen, so as to sweep out a bigger area. Pioneers of Science
I have before stated that I considered the establishment of this error of the radius vector of Uranus to be a very important determination. Astronomical Discovery
By examining the inequalities of the other planets he found that they all moved in elliptic orbits, and that the radius vector of each described areas proportional to the times. The Martyrs of Science, or, The lives of Galileo, Tycho Brahe, and Kepler
It is always subject to the law of inverse squares, and what is more, its repelling power coincides exactly with the path which the centripetal force takes, that is, the radius vector. Aether and Gravitation
The third law enables us to compute the time taken by the radius vector to sweep over the entire area of the orbit, which is identical with the time of revolution. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 7 "Arundel, Thomas" to "Athens"
Now the area of the triangle CAD, swept out by the radius vector in unit time, is ½bh; h being the perpendicular height of the triangle from the base AC. Pioneers of Science
M. Le Verrier then remarks, as one of the strong proofs of the correctness of the general theory, that the error of radius vector is explained as accurately as the error of longitude. Astronomical Discovery
Could not Dr. Alexander write a Sabbath-school book, without filling it full of such phrases as "right ascension," "declination," "precession of the equinoxes," "radius vector," and the like? Fables of Infidelity and Facts of Faith Being an Examination of the Evidences of Infidelity
The area covered would always be uniform, because the radius vector would always be uniform in length. Aether and Gravitation
The problem of constructing successive radii vectores, the angles of which are measured off from the radius vector of the body at the original given position, is then a geometric one, known as Kepler’s problem. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 7 "Arundel, Thomas" to "Athens"
The area its radius vector sweeps out is therefore SAP, instead of what it would have been, SAB. Pioneers of Science
Then by a composition and resolution of all the forces, he deduced the radius vector of the sun, and the longitude of his centre, for each past year of the century. Outlines of a Mechanical Theory of Storms Containing the True Law of Lunar Influence
But, for physical astronomers, the greatest interest attaches to the reduction of radius vector of Encke’s comet, the splitting of Biela’s comet into two comets in 1846, and the somewhat similar behaviour of other comets. History of Astronomy
This result is in perfect harmony with Kepler's Second Law, which states that equal areas are described by the radius vector in equal times. Aether and Gravitation
The speed of the latter may, therefore, be expressed as a function of its radius vector at the moment and of the major axis of its orbit without introducing any other elements into the expression. Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 7 "Arundel, Thomas" to "Athens"
One of them says: 'The area swept out in a given time by the radius vector of the path of a planet is proportional to the time taken.' The Life of the fly; with which are interspersed some chapters of autobiography
Airy wrote expressing his interest, and asked for particulars about the radius vector. History of Astronomy
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