Crossword-Solution: HODOGRAPH
Dictionary
| Word | Word Type | Definition |
|---|---|---|
| Hodograph | n. | A curve described by the moving extremity of a line the other end of which is fixed, this line being constantly parallel to the direction of motion of, and having its length constantly proportional to the velocity of, a point moving in any path; -used in investigations respecting central forces. |
We have 1 clue for the answer “HODOGRAPH”
| Clue | Answers |
|---|---|
| curve of which the radius vector represents the velocity of a moving particle | 1 answer |
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Kind of apple
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E
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A
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T
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R
Hint 1 meaning
One who, or that which, eats.
Hint 2 anagram
TEARE
Hint 3 another clue
greedy person
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Sentences with HODOGRAPH (5)
Kirchhoff's _Kinetic Analogue_ asserts also that the curve of H is the projection of a tortuous elastica, and that the spherical curve of C´ is a hodograph of the elastica described with constant velocity.
This will be evident if we consider that, since radii vectores of the hodograph represent velocities in the orbit, the elementary arc between two consecutive radii vectores of the hodograph represents the velocity which must be compounded with the velocity of the moving point at the beginning of any short interval of time to get the velocity at the end of that interval, that is to say, represents the change of velocity for that interval.
Hence the elementary arc divided by the element of time is the rate of change of velocity of the moving-point, or in other words, the velocity in the hodograph is the acceleration in the orbit.
Every orbit must clearly have a hodograph, and, conversely, every hodograph a corresponding orbit; and, theoretically speaking, it is possible to deduce the one from the other, having given the other circumstances of the motion.
This method is indeed indicated at § 37, but no diagram is given, and the properties of the hodograph are investigated by means of Cartesians.