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Pronunciation varies by accent · noun
(physics, mathematics) A curve described by the moving extremity of a line whose other end 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..
The following is Sir W R. Hamilton's theorem of hodographical isochranism: "if two circular hodegraphs having a common chord, which passes through or tends towards a common centre of force, be cut perpendicularly by a third circle, the times of hodographically describing the intercepted arcs will be equal."
Use hodograph when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Hodograph means (physics, mathematics) A curve described by the moving extremity of a line whose other end 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..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
The following is Sir W R. Hamilton's theorem of hodographical isochranism: "if two circular hodegraphs having a common chord, which passes through or tends towards a common centre of force, be cut perpendicularly by a third circle, the times of hodographically describing the intercepted arcs will be equal."
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