Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 111
and, consequently, a, in termsof the axes and the known quantity, tan ^S. Interpretation of AB sin (a— a) = AB, 2. Let us suppose theellipse, whose centre is (7,to be circumscribed by arectangle, formed by draw-ing tangents at the verti-ces of the axes, and alsoby a parallelogram, formedby drawing… … BOOK III.] THE ELLIPSE. Ill supplement of NCP^ its sine will be equal to sm (a— «).Further, NM =z CF=A. Therefore,* 3fK= A sin (a- a).Hence, AB sin (a- a) = GP3IN.\ The second member of Equation (2), ^ x ^, is equiva-lent to the rectangle GJBHD. But the parallelogramCPMN is one-fourth the…
Geometry, Analytic · Calculus
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