Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 345
in a triangle to thethree vertices cut the angles internally. II. Of the three lines drawn to the vertices of a trianglefrom an external point, and produced if necessary, two willdivide the angles internally and one externally. I is evident. Toprove II let the wholeplane without the tri-angle be… … 320 MODERN GEOMETRY. A\ Considering the otlier angles in the same way, we seethat onl}^ one angle can be cut internally and that the othertwo will be cut externally. The sine-ratio being positive for an external and negativefor an internal division, either one or all three of the factorsin {a) must…
Geometry, Analytic
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