10 ENGLISH BOOKS RELATING TO «TAUTOCHRONE»
Discover the use of
tautochrone in the following bibliographical selection. Books relating to
tautochrone and brief extracts from same to provide context of its use in English literature.
1
A System of Analytic Mechanics ...
The equation of the tautochrone under the action of a fixed force (31 7W), 317
538. The tautochrone which rotates uniformly about a fixed axis when there is no
external force (317ffl), . 317 539. The case of § 538, when it is a plane curve (318,
, ...
2
Physical and celestial mechanics: Developed in 4 systems of ...
The equation of the tautochrone under the action of a fixed force (317„), 317 538.
The tautochrone which rotates uniformly about a fixed axis when there is no
external force (31 7e), . 317 539. The case of § 538, when it is a plane curve (818
,,,), ...
3
A System of Analytic Mechanics
The tautochrone of pressed as a function of the are (311,), . . . 316-317 The
equation of the tautochrone under the action of a fixed force (311,,),. . . . . .317
The tautochrone which rotates uniformly about a fixed axis when there is no
external ...
Benjamin PEIRCE (Perkins Professor of Astronomy and Mathematics at Harvard University.), 1855
The tautochrone which rotates uniformly about a fixed axis when there is no
external force (317”), . 539. The case of§ 538, when it is a plane curve (318,. 1), . .
. 317—318 540. The cycloid is the tautochrone of a free heavy body in a vacuum
...
5
The Math Book: From Pythagoras to the 57th Dimension, 250 ...
ON. Tautochrone. Problem. Christiaan Huygens (1629-1695) In the 1600s,
mathematicians and physicists sought a curve that specified the shape of a
special kind of ramp. In particular, objects are placed on the ramp, one at a time,
and they ...
Clifford A. Pickover, 2009
6
Integral Transforms for Engineers
which leads to U(p) P- 1 (p - \)F(p) _ p-2 F(p) + F(p) p-2 Now taking the inverse
transform of this last expression, we get the formal solution /:< w(0 = /(/) + e«'-r)f(T
) dr 5.5.1 The Tautochrone Problem The great Norwegian mathematician Niels ...
Larry C. Andrews, Bhimsen K. Shivamoggi, Society of Photo-optical Instrumentation Engineers, 1988
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. This solution was later used to attack the problem of the brachistochrone curve.
Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken, 2010
8
Mathematica® in Action: Problem Solving Through ...
First, we use these formulas to generate a tautochrone movie. The following code
is straightforward. The key computational point is the definition of the t-parameter
value in tPar using the formula we just derived. Tautochrone t0_, npts_ ...
9
The Problem of the Earth's Shape from Newton to Clairaut: ...
whose members made up the tautochrone, where x stood for the finite arc length
of a member of this family. The finite arc length X of a segment MA in the family
whose members made up the tautochrone was determined by an initial condition
...
10
Tales of Mathematicians and Physicists
The. Tautochrone. Galileoassertedthattheperiod of
oscillationsofamathematicalpendulum is determined only by its length l and does
not depend on the angle φ of its maximal amplitude. Huygens, explaining that
this is valid only for small ...
Alan Shuchat, Simon Gindikin, 2007
3 NEWS ITEMS WHICH INCLUDE THE TERM «TAUTOCHRONE»
Find out what the national and international press are talking about and how the term
tautochrone is used in the context of the following news items.
Physics Project Lab: How to build a cycloid tracker
Compare with theory, which predicts that the time is independent of the release height, the tautochrone property. Compare also the times taken to descend the ... «OUPblog, Dec 14»
Les maths, un vrai jeu d'enfants
A peine apprend-on qu'une courbe tautochrone, ou incurvée, est plus efficace pour gagner une course de billes face à une courbe plate. «Il s'agit d'avoir un ... «Libération, Nov 13»
L comme Lagrange
Dans sa jeunesse, il s'attaque au problème de la tautochrone. Imaginons un rail courbe et incliné. Quelle doit être sa forme pour que plusieurs objets, glissant ... «Le Monde, Oct 13»
