Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 263
. When 6 lies be-tween 135° and 180°, p has again two equal and opposite values < a. Hence the curve consists of two ovals. Also, the asymptotes of thehyperbola are tangents to the lemniscate at 0. 200. The witch.* Definition. — The line YA is a tangent to the circle whose center is C, at the… … To find its equation, take OY and OX ± to it as axes. LetOY = 2 a, and let P be (x, y). * Invented by Donna Maria Agnesi (1718-1799) an Italian mathema-tician. HIGHER PLANE CURVES 247 Then, by similar As, ON : OY :: NM : YK [= NP]; or, y : 2 a :: sly {2 a — y) : x. .. x.y=^4.a\2a-y)is tlie required…
Geometry, Analytic
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