Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 39
The angle whichQ1Q2 makes with P^P^ is de-fined as the positive anglethrough tvhich it is necessaryto rotate P1P2 about A untilit coincides in direction loithQiQz- In the figure, thisangle is P-^AQ^ which isclearly the difference be-tween the inclinations of thetwo segments. If O^ a^d 6^are… … as the student may easily verify. In either case tan ^9 — tan 6, tan </) = tan (^2 — ^1) = 1 + tan 62 tan 9i (2) (3) If mj and mj are respectively theslopes of Q1Q2 and P1P2, formula (3)becomes »W2 — vrix tan ^ — 1 -I- mi,fn\ (4) As an example of the use of formula(4), we will find the angle…
Geometry, Analytic
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