Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 342
all talcen iyi order. Hypothesis. A triangle ahc of which the sides and anglesare divided by the lines ax, ly and cz. Conclusion. If we put r^, r^, 7*3, the distance-ratios in which the sides are dividedby the points x, y and z respectively; R^, R^, R^, the sine-ratios in which the angles are… … DISTANCE- AND SINE-RATIO. 317 Dividing the first equation by the second,ex sin cax sin b In the same way we find hx~ sin bax sin c find ^Z- sin aby sin c cy sill cby sin« bz sin bczsm «6;Z sin a az sin b Taking the continued product of the three last equations, wehave ex ay bz _ sin eax sin aby sin…
Geometry, Analytic
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