Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 56
construction and notation as in Art. 26,it is again true that PXK = x — xx and KP = y — yv Butthe triangle KPXP isnot right-angled, and inorder to find the ratiobetween its sides wemust make use of thelaw of the sines. Letthe positive direction ofPXP be taken along theterminal line of the an-gle 7.… … Fig. 30. Hence, K?- = y=Jh= . si°7 (See Art. 7) PxK x — xx sin (o> — 7) or sni (« — 7) [9] If the coordinates of the given point are (0, b), [9]reduces to y= . ^ ^+&- [10] Sill (ft) - y) L J When ay = 90°, these two forms will be seen to reduceto the equations [7] and [8]. 40 ANALYTIC…
Geometry, Analytic
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