 About 2,220 results  books.google.com Or, restated, every ANGLE preserving transformation is a SPHEREpreserving
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
CUBE ... 

 books.google.com 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 ... 

 books.google.com 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 ... 

 books.google.com ... 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). 

 books.google.com 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 SturmLiouville
operator (1.10) so that (x0(t), x\(t)} is a basis of solutions of the SturmLiouville ... 

 books.google.com Levy, M. : orthogonal surfaces, vm, 269, 569 — 70 ; Dupin's theorem, ix, 85. Light,
Polarized ... Linepairs: the term, vi, 206, 209, 210, 211 ; through three given
points and touching given conic, vi, 201, 244, 594. Linepairpoint: the ... Liouville
, J.: integration of differential equations, m, 180, 191 — 109 LEVERRIERLINK
WORK. 

 books.google.com Hellmann—Feynman theorem, 217, 218, 243, 314, 315, 343, 359, 426 Helmholtz
equation, 44, 163—165, 171, 176, ... 266, 278—280 Linearlaw media, 230
Linear (or conical) tapers, 261, 262 Liouville equation, 252, 253 Liouville
theorem, ... 

 books.google.com 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. 

 books.google.com 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
is ... 

 books.google.com 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.
xiv. p. 

 