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单词 tautochrone
释义

tautochronen.

Brit. /ˈtɔːtəkrəʊn/, U.S. /ˈtɔdəˌkroʊn/, /ˈtɑdəˌkroʊn/
Origin: A borrowing from French. Etymon: French tautochrone.
Etymology: < French tautochrone (1732; short for courbe tautochrone ; also 1732 as adjective) < post-classical Latin tautochronus , adjective (1726 or earlier) < tauto- tauto- comb. form + ancient Greek χρόνος time (see chronic adj.). Compare earlier tautochronous adj.
Physics.
A curve upon which a body moving under gravity or another force will reach the lowest point (or some other fixed point) in the same amount of time, regardless of the point from which it starts.
ΘΚΠ
the world > relative properties > number > geometry > curve > [noun] > used in physics
isochrona1774
tautochronea1774
catenary1788
tautochronism1814
adiabatic1871
catenarian1872
adiabat1891
a1774 O. Goldsmith Surv. Exper. Philos. (1776) II. 142 The time spent in determining the figure of a tautochrone might have been more usefully employed in this research.
1802 Crit. Rev. 36 (App.) 494 The noted problem of the tautochrones in a resisting medium.
1842 W. T. Brande Dict. Sci., Lit. & Art 1209/2 Newton and Hermann also determined the tautochrone in a vacuum, when gravity is supposed to be directed towards a given centre.
1912 A. Ziwet & P. Field Introd. Analyt. Mech. xiv. 256 The problem of determining a tautochrone for given forces (if such a curve exists) is rather different in nature from the ordinary problems of mechanics.
1972 Arch. Hist. Exact Sci. 8 397 The circle..is neither a brachistochrone nor a tautochrone.
2002 D. Joffray Let. 7 Jan. in S. H. Strogatz & D. Joffray Calculus of Friendship (2009) 122 Derive the integral which, when solved, demonstrates the tautochrone.
This entry has been updated (OED Third Edition, June 2014; most recently modified version published online March 2022).
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n.a1774
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