About 2,220 results
|Or, restated, every ANGLE- preserving transformation is a SPHERE-preserving |
transformation . See also CONFORMAL MAP Liouville's Conic Theorem The
lengths of the TANGENTS from a point P to a CONIC C are proportional to the
|This is his separation theorem, which states that the oscillations ofany two (real) |
solutions alternate, or separate eachother. ... In planeanalytic geometry, there is
another “Liouville theorem”: The lengths ofthe tangents froma point Ptoa conic ...
|C'omplet'ion of the theory in Liouville, and comparison with analogous ' theorems |
of Hnsss. In order to convert the ... we have thus the theorem; The locus of a point
such that the tangents drawn from it to three given conics (the first or conic ...
|... regular function must be a constant until Liouville discovered this theorem in |
the special case of doubly periodic functions”. ... Chasles presented a memoir on
the geometric properties of elliptic functions and conic sections (Chasles 1844).
|In a nutshell, the curve is approximated by its osculating conic which, by Steiner's |
theorem (cf. ... A parameterized curve in RP1 corresponds to a Sturm-Liouville
operator (1.10) so that (x0(t), x\(t)} is a basis of solutions of the Sturm-Liouville ...
|Levy, M. : orthogonal surfaces, vm, 269, 569 — 70 ; Dupin's theorem, ix, 85. Light, |
Polarized ... Line-pairs: the term, vi, 206, 209, 210, 211 ; through three given
points and touching given conic, vi, 201, 244, 594. Line-pair-point: the ... Liouville
, J.: integration of differential equations, m, 180, 191 — 109 LEVERRIER-LINK-
|Hellmann—Feynman theorem, 217, 218, 243, 314, 315, 343, 359, 426 Helmholtz |
equation, 44, 163—165, 171, 176, ... 266, 278—280 Linear-law media, 230
Linear (or conical) tapers, 261, 262 Liouville equation, 252, 253 Liouville
|From act I of Patience (1881) William Schwenck Gilbert (1836–1911) –English |
writer of comic and satirical verse In Corollary 4.2 on page 165, we proved that ...
We establish this via Liouville's Theorem 4.1 on page 160 in the following result.
|Real forms of GCS on Y can be imaginary on X. Natural candidates for the conic |
varieties V are orbits of K in the ... of CP2 preserving the set of lines and the
corresponding Liouville theorem will be the Darboux theorem (which sometimes
|A THEOREM IN CONICS. By A. Catlet. tihe following theorem is given in |
Todhnnter's Conic Sections, p. ... I have considered some of the properties of this
substitution in a Memoir "Sur quelques transmutations des Courbes," Liouville, t.