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 79
n given in the preceding solution. . •. cos a = d= 11 Substituting this value of cos a in (3), we have e = v/2 = 1.4142-j-. Hence, cosa = i , 1-1 = ±^ \l-\=± l=±^v/2= ±.7071+, and6t = 450 or 135°. Substituting the values of e and sin a in (4), we have n ^= \/~ld ; and OF THE CONIC SECTIONS. 49 by… … 1350. Finally, substituting in (5), we 1 — 3 — find d = — tV^^» ^^<1 tn/-^ or — .35, and 1.06; and, conse- 1 3 quently, n = — -, and -. (The locus is situated as in Fig. 49;but the construction is so close-ly analogous to the preceding,that the student will have nodifficulty in effecting it.) 4.…
Geometry, Analytic · Calculus
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