Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 262
HIGHER PLANE CURVES 245 Draw LD _L to OX. Then AD cuts off a third of the givenangle BAG. Proof: Bisect DF in E. Then LE = ED = J OC = AL..-. Z LAE = Z LEA = 2 Z LDE = 2 Z DAC..-. ZDAC = JZBAC. 199. The lemniscate. — This curve is the locus of the footof a perpendicular from the center of a… … Fig. 138. The tangent to the hyperbola x^ — y^ = a^ at (x^, y^ is ^^i-yyi = o? (1) The ± to it from the origin is X yor, _ = _ ^ (2) Also, x^^-ij^^^a (3) Eliminating {x^, y^) between (1), (2), and (3), we get,{x + yy = a(f-f),which is the equation required. 246 ANALYTICAL GEOMETRY Discussion. — (1)…
Geometry, Analytic
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