Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 100
rcle, we shall have, aa = — 1, or, aa -|- 1 = 0 ; which shows, that the supplementary chords are perpen-dicular to each other, a property bofore proved (Bk. II.,Art. 7). * Legendre, Trig. Art. 59. BOOK III.] THE ELLIPSE. 99 Supplementary chords. Tangent and diameter. 21. Let PT be a tan-gent line… … 2/ = aa, x (2.) Multiplying Equations (1) and ( 2 ), member by member, -52 aa = — A^ When a and a denoted the tangents of the angles whichthe supplementary chords make with the transverse axis,we had (Art. 20), hence. If, in this equation, we make, a = a, we shall have, a a; that is,, If owe chord…
Geometry, Analytic · Calculus
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