Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, 1879-, Hill, Theodore Preston. Early American mathematics books. CU-BANC · New York, H. Holt and Company · leaf 27
ne of 6 may be found from (1) and (3).Since sin2 9 — 1 — cos2 9, it follows that sin2 B = (V v,2)(X22 4- v22) - (5) 6. Point dividing a segment in agiven ratio. Let Pl = (a;,, ?/!, ^) andP2 = (a:2, 2/2? ^2) be two given points(Fig. 7). It is required to find thepoint P = (aj, ?/, 2) on the line… … FIG 7. ART. 6] POINT DIVIDING A SEGMENT 9 . -,On solving for x we obtain (6) ml + tn.ai/1 Similarly, y • 4- It should be noticed that if ml and w2 have the same sign, PXPand PP2 are measured in the same direction so that Plies betweenP! and P2. If wi! and m2 have opposite signs, P lies outside…
Geometry, Analytic
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