Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 204
,^d ^,- = ?^ =: ^, (29) 2? ex -\- a r where r and r denote the focal radii of the point of contact.From the last two equations we readily find y = %b\ p = -b and f = ^-. (30) 175. Normal to an Hyperbola. Problem. To find the equation of the normal to an hyper-bola. The equation of the normal is… … The Subnormal. X = Putting y 0 in (31), we findCN- CM= {e-l)x\ x = ex = Hence, subnormal = 3IN 176. Theorem X. The normal at a7iy point of an hyper-bola bisects the external angle contained by the focal radii ofthat point. Since the angles FPF and FPH ^yq supplementary andTP bisects FPF, therefore…
Geometry, Analytic
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