Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 345
hich has a givendistance-ratio, the points z and z are coincident and z heson the line xy. Q. E. D. DISTANCE- AND SINE-RATIO. 319 289, Theorem IV. If three lines 2^assi7ig through apoint be draiun from the vertices of a triangle, the angles will be so divided that thesine-ratios, taken in order,… … The continued product of these equations would givesin^^P sin CBP sin ACP sin CAP sin ABP sin BCP~ ±1. (a) Algebraic signs having been neglected, it remains to befound whether this product is positive or negative. We havethe theorems: I. Lines drawn from any point within a triangle to thethree…
Geometry, Analytic
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