A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 128
24, the angle NGX of that figure becomes STX of this, anangle whose sine is +, and equal to sin ST A. But, by this change of theposition of the line, the angle G H A of Fig. 2-i, first diminishes to 0 and thenre-appears generated from left to right and henc-^ is a negative angle. Therefore -f- sin… … TANGENTS—BY BECTILINEAll CO-OEDINATES. 99 Ex. 11. At wliat angle does the line y n= i.^; -f- 1 cut the curver/2 = 4a7? Ans., 10° 14, and 33° 4. Sugs.—Find the point of intersection and the tangent to the curve at thispoint. Find the angle included between this tangent and y ■= hx -\- Ihj (36). Ex.…
Geometry, Analytic · Calculus
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