hodographn.

/ˈhɒdə(ʊ)ɡrɑːf/

/ˈhɒdə(ʊ)ɡraf/

Etymology: < Greek ὁδός way + -γραϕος (-graph comb. form), writing, writer.

1. Mathematics. A curve, invented by Sir W. R. Hamilton, of which the radius vector represents in magnitude and direction the velocity of a moving particle. Also attributive. Hence extended to curves in which the radius represents other vector quantities.

ΘΚΠ

the world > relative properties > number > geometry > curve > [noun] > other

quadratrix1656

section1665

family1705

semiparabola1728

tractrix1728

witcha1760

tractory1820

sinusoid1823

tractatrix1828

indicatrix1841

hodograph1847

tetrazomal1867

space curve1875

horograph1879

hypercycle1889

Peano curve1900

multiple arc1967

unknot1971

fractal1975

analemma1978

1847 Proc. Royal Irish Acad. 1845–7 3 347 The Newtonian law [of attraction] may be characterized as being the Law of the Circular Hodograph.

1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §37 If from any fixed point, lines be drawn at every instant, representing in magnitude and direction the velocity of a point describing any path in any manner, the extremities of these lines form a curve which is called the Hodograph.

1883 A. S. Herschel in Nature 15 Mar. 458 The square of the hodograph-radius signifies the square of the material point's velocity, or its directed actual energy.

1944 H. R. Byers Gen. Meteorol. viii. 212 The details of the change of the geostrophic winds with height are studied by means of a hodograph.

1961 Aero/Space Engin. Feb. 24/2 (title) The hodograph and ballistic missile trajectory problems.

1966 McGraw-Hill Encycl. Sci. & Technol. (rev. ed.) XIII. 508/2 These [changes] are most readily described with the aid of a hodograph of the potential gradient vector... One vector only is shown..extending from the origin of coordinates to a point on the hodograph.

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2. A machine invented by Prof. Marey, for registering the paces of a horse, etc.

Derivatives

hodoˈgraphic adj. of the nature of, or pertaining to, a hodograph.

ΘΚΠ

the world > relative properties > number > geometry > curve > [adjective] > other

caustic1728

hypotrochoidal1843

hodographic1847

Pippian1857

tetrazomal1867

trizomal1867

three-bar1875

sinusoidal1878

1847 Proc. Royal Irish Acad. 1845–7 3 345 This hodographic curve.

1847 Proc. Royal Irish Acad. 1845–7 3 417 Note by Sir W. R. Hamilton, announcing a theorem of hodographic isochronism.

hodoˈgraphically adv. by means of a hodograph.

ΘΚΠ

the world > relative properties > number > geometry > curve > [adverb]

cycloidally1728

elliptically1831

hodographically1847

trochoidally1857

sinusoidally1888

1847 Proc. Royal Irish Acad. 1845–7 3 417 The times of hodographically describing the intercepted arcs will be equal.

This entry has not yet been fully updated (first published 1899; most recently modified version published online March 2019).

单词	hodograph
释义	hodographn. /ˈhɒdə(ʊ)ɡrɑːf//ˈhɒdə(ʊ)ɡraf/ Etymology: < Greek ὁδός way + -γραϕος (-graph comb. form), writing, writer. 1. Mathematics. A curve, invented by Sir W. R. Hamilton, of which the radius vector represents in magnitude and direction the velocity of a moving particle. Also attributive. Hence extended to curves in which the radius represents other vector quantities. ΘΚΠ the world > relative properties > number > geometry > curve > [noun] > other quadratrix1656 section1665 family1705 semiparabola1728 tractrix1728 witcha1760 tractory1820 sinusoid1823 tractatrix1828 indicatrix1841 hodograph1847 tetrazomal1867 space curve1875 horograph1879 hypercycle1889 Peano curve1900 multiple arc1967 unknot1971 fractal1975 analemma1978 1847 Proc. Royal Irish Acad. 1845–7 3 347 The Newtonian law [of attraction] may be characterized as being the Law of the Circular Hodograph. 1879 W. Thomson & P. G. Tait Treat. Nat. Philos. (new ed.) I: Pt. i. §37 If from any fixed point, lines be drawn at every instant, representing in magnitude and direction the velocity of a point describing any path in any manner, the extremities of these lines form a curve which is called the Hodograph. 1883 A. S. Herschel in Nature 15 Mar. 458 The square of the hodograph-radius signifies the square of the material point's velocity, or its directed actual energy. 1944 H. R. Byers Gen. Meteorol. viii. 212 The details of the change of the geostrophic winds with height are studied by means of a hodograph. 1961 Aero/Space Engin. Feb. 24/2 (title) The hodograph and ballistic missile trajectory problems. 1966 McGraw-Hill Encycl. Sci. & Technol. (rev. ed.) XIII. 508/2 These [changes] are most readily described with the aid of a hodograph of the potential gradient vector... One vector only is shown..extending from the origin of coordinates to a point on the hodograph. Categories » 2. A machine invented by Prof. Marey, for registering the paces of a horse, etc. Derivatives hodoˈgraphic adj. of the nature of, or pertaining to, a hodograph. ΘΚΠ the world > relative properties > number > geometry > curve > [adjective] > other caustic1728 hypotrochoidal1843 hodographic1847 Pippian1857 tetrazomal1867 trizomal1867 three-bar1875 sinusoidal1878 1847 Proc. Royal Irish Acad. 1845–7 3 345 This hodographic curve. 1847 Proc. Royal Irish Acad. 1845–7 3 417 Note by Sir W. R. Hamilton, announcing a theorem of hodographic isochronism. hodoˈgraphically adv. by means of a hodograph. ΘΚΠ the world > relative properties > number > geometry > curve > [adverb] cycloidally1728 elliptically1831 hodographically1847 trochoidally1857 sinusoidally1888 1847 Proc. Royal Irish Acad. 1845–7 3 417 The times of hodographically describing the intercepted arcs will be equal. This entry has not yet been fully updated (first published 1899; most recently modified version published online March 2019). < n.1847
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