Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 246
cular. Thus, Let A be the pole. Draw AMy Am, two consecutive radii, sonear each other that Mm may betaken for the differential of the arc. Let MQ be perpendicular to Am^then Qm is the differential of theradius. Draw AT perpendicular to Amyor parallel to Qm^ then, accordingto our definition, AT is… … 238 DIFFERENTIAL CALCULUS. sider the angle MAB, or the angle MA G, as the integral angle,the differential hh is the same for either. Let AM=r, and the angle MAX^=t. Take Ah—\y and hh=dLThen QM^=rdty Qm=dr, and if we put ds to represent Mm,the differential of the arc, the right angled triangle mQM…
Geometry, Analytic · Calculus
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