Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 82
dinate passingthrough the focus, corresponding to Def. 6. PROPOSITION VIII. The area of any segment of a parabola made hy co-ordinates,(whether right angled or oblique,) is equal to two-thirds of theparallelogram formed by the co-ordinates and their parallels. Let FX be any diameter, FT atangent,… … 74 AN^ALYTICAL GEOMETRY. designate by h. In consequence of the increase of a:, y must beincreased by Tty which we will designate by h. Then iSg=y-f./t.Now the equation of the curve at Q, is {y+^)^=2y(^+^). (2) Expanding (2) and subtracting (1), and we hare2^2/+F=2j9^. (3) Divide by h, then…
Geometry, Analytic · Calculus
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