Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 58
nstruction and notation as in Art. 26,it is again true that P^K= 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, lg- = !LU!i= si 7 , (See Art. 7) PXK x — xt sin (<w — 7) V - 2/1 = . S/IU y , (x - xi).sin (« - y) [9] If the coordinates of the given point are (0, 5), [9]reduces to y= . sin? oc+b. [10] 9 sin (w -y) L J When a) = 90°, these two forms will be seen to reduceto the equations [7]…
Geometry, Analytic
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