Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 56
construction and notation as in Art. 26,it is again true that P^K= x — x-^ and KP = y — y^. Butthe triangle KP^P isnot right-angled, and inorder to find the ratiobetween its sides wemust make use of thelaw of the sines. Letthe positive direction ofP^P be taken along theterminal line of the an-gle… … Fig. 30. sm 7 or Hence, I^ = y^Jh = P^K X — .Tj sin (ct> — 7) y - Vx ^- . ^/ ^ ^ {oc - £Ci).sm (w - -y) , (See Art. 7) [f] If the coordinates of the given point are (0, Z>), [9]reduces to sm (« — 7) [10] When CD = 90°, these two forms will be seen to reduceto the equations [7] and [8]. 40…
Geometry, Analytic
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