 About 7,770 results  books.google.com Cliff Random Number Generator Clifford's Circle Theorem 457 l, x)yk+2+ck fork=
N, N — 1, ... and solve backwards to obtain y2 c* =yka(k, x)yk+lp(k + l. x)yk+2 £ *
o ) +\yl ad, x)ty2  P(2. + \y2  a(2, xfrs  /K3, *}y JF8 Clifford Algebra Let V be an
... 

 books.google.com THE FAILURE OF THE CLIFFORD CHAIN. By Walter B. Carver. The Clifford
chain theorem* defines, for a set of n lines in a plane no two of which are parallel,
a Clifford circle when n is odd and a Clifford point when n is even. The Clifford
point ... 

 books.google.com Theorem. Proving. in. the. Homogeneous. Model. with. Clifford. Bracket. Algebra.
Hongbo. Li. A Clifford algebra has three major ... The following is a typical
example — the fivecircle theorem: Let A, B, C, D, E be five generic points in ... 

 books.google.com A series of conformal configurations can be obtained by means of the following
theorems of W. K. Clifford, who came to them by developing the ideas of A.
Miquel: " (1) Given three lines, circle may be drawn through their intersections... (! 

 books.google.com Discrete Geometry (circle coverings), Descriptive Geometry (Theorem of Pohlke),
Convexity (equilateral zonogons as cube shadows), configurations (Clifford's
chain of theorems), and further topics; see the introduction of [29] for many ... 

 books.google.com f f 12 f 13 f 23 f 14 f 24 f 34 f 1234 Clifford's second theorem. Let C1 ,...,C 5 be five
circles in general position in a plane, with a common point f. Then the five points
f1234, f1235, f1245, f1345, f2345 all lie on one circle C12345. Clifford's third ... 

 books.google.com Next take five lines such that the five Q points on them are concyclic, and apply
the threecircle theorem to the circles 0(12), ... we practically apply Clifford's ^ive
line theorem to On, 013, 014, 01S, Cu: the point derived from the first four circles
is ... 

 books.google.com On Miquel's FiveCircle Theorem⋆ Hongbo Li, Ronghua Xu, and Ning Zhang
Mathematics Mechanization Key Laboratory, Academy of Mathematics and
Systems Science, ... The first proof of Miquel's nCircle Theorem is given by
Clifford in ... 

 books.google.com For H2, Ptolemy's Theorem can be written in a form identical with that in
Euclidean plane geometry: Proposition 14 1. Let A, B,C,D be distinct points on a
generalized circle. Let J be any point on the generalized circle different from A, B,
C, ... 

 books.google.com There are equivalent theorems in spherical geometry. We consider only one case
. Let e = —D. A "new" theorem as follows: Theorem 4.9.4. Within the sphere there
are four points A,B,C,D on the same circle. Let A\,B\,C\ be the symmetric points ... 

 