- A
tautochrone curve or
isochrone curve (from
Ancient Gr**** ταὐτό (tauto-) 'same', ἴσος (isos-) 'equal', and χρόνος (chronos) 'time') is the
curve for...
- work of
Christiaan Huygens,
almost one
hundred years later, that the
tautochrone nature of a
swinging pendulum was used to
create an
accurate timepiece...
- 1750s by
Euler and
Lagrange in
connection with
their studies of the
tautochrone problem. This is the
problem of
determining a
curve on
which a weighted...
-
Bernoulli in 1696. The
brachistochrone curve is the same
shape as the
tautochrone curve; both are cycloids. However, the
portion of the
cycloid used for...
-
Solutions to
variational problems, such as the
brachistochrone and
tautochrone questions,
introduced properties of
curves in new ways (in this case...
- isochron, protochronism, synchronic, synchronism, synchronize, synchronous,
tautochrone chrys- gold Gr**** χρυσός (khrusós), χρύσεος "golden" chrysalis, chryselephantine...
- same
amount of time,
regardless of its
starting point; the so-called
tautochrone problem. By
geometrical methods which anti****ted the calculus, Huygens...
- Chandra; Joag,
Pramod Sharadchandra (2001), "7.5
Barchistochrones and
tautochrones inside a
gravitating homogeneous sphere",
classical Mechanics, Tata McGraw-Hill...
- 1750s by
Euler and
Lagrange in
connection with
their studies of the
tautochrone problem. This is the
problem of
determining a
curve on
which a weighted...
- s={\frac {ae^{\varphi \tan \alpha }}{\sin \alpha }}}
Catenary s=atanφ{\displaystyle s=a\tan \varphi }
Tautochrone s=asinφ{\displaystyle s=a\sin \varphi }...
