The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners (1903)
Briggs, George R. (George Russell), b. 1853, Bôcher, Maxime, 1867-1918 · New York, J. Wiley & sons; [etc., etc.] · leaf 55
rite the equa-tions : y = Xx + b, . . (i) y = A, X + /?, . . (2)Here, A =tan ■;, and Aj =tan y,, 7 and y^ beingthe angles which thelines (i) and (2) re-spectively make withO X, as represented inthe figure. Let O be the angle which the line (2) makes withthe line (i) ; i. e. t> is measured y)6w… … - tan 71 - tan 7tan t9- = — . I + tan 7^ tan 7 Substituting the values of tan y^ and tan 7, we have tan 19^ A, -AI + A, A (4) This gives tan (y in terms of known quantities, and ^ can beeasily found from its tangent by Trigonometry. 48 ANALYTIC GEOMETRY. If the equations of the lines are…
Geometry, Analytic -- Plane
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