Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 248
spiral then described will be the spiralof Archimedes. Thus, let AB be the line. A the pole.Let the point jlf commence at A, and whenAB revolves to the position of A^, thepoint will be found at M, it having de-scribed the spiral curve AM in the sametime. When AB revolves to the position ofAD, the… … 240 DIFFERENTIAL CALCULUS. Now let the line be indefinitely increased and the motion con-tinued, and an infinite number of revolutions might be made. To find the equation for this curve, let AB=a, the arc BN^=^tyand AM^=^r, the radius vector of the spiral at any point, as M. Then by the definition…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
![An illustration from [Electric engineering.] (1902)](https://img.insideoutlibrary.com/img/200/ia-electricengineer01inte-386-145.webp)
