Abel's theorem and the allied theory, including the theory of the theta functions (1897)
Baker, H. F. (Henry Frederick), 1866-1956 · Cambridge : University Press · leaf 369
FORMATION OF A GROUP OF SUBSTITUTIONS [22:^ wherein p. is real, and B, A are the roots of the quadratic equation^ = (o^ +/9) (7^ + 8), distinguished from one another by the condition that/4 shall be less than unity. In all the linear substitutions which occur inthis chapter it is assumed that B, A… … and a point C be taken between A, B in such a way that 1 > ACjCB > fi,but otherwise arbitrarily; then the locus of a point P such that AP/PB= AC/CB is a circle. Take now a point C also between A and B, such thatCBAC= fiCB AC, and mark the circle which is the locus of a point Pfor which FBjAF…
Geometry, Algebraic · Functions, Theta
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