Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 42
line is said to be normal to a curve when itis perpendicular to the tangent line at the point of contact. Join APy and if APT is a right angle, then AP is a normal,and AB, a portion of the axis of X under it, is called the sub-normal. The line BT under the tangent is called the suhtangerU. Let us… … «=^. x But x Eq. (8) Whence aa=L—1. Or a=—i, Therefore AP is at right angles to PT, (Prop. V. Chap. I.) ii ANALYTICAL GEOMETRY. PROPOSITION IV. To find the equation of a line which shall pass through a givenpoint without the circle. Let H be the given point, and x and y its given co-ordinates,and X…
Geometry, Analytic · Calculus
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