Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 258
53.) The dififerential of a plane geometrical surface isobvious, as the adjoining figure will illustrate. Let A be the origin of co-ordinates,AF=x, and PM=^y, and they may beregarded in reference to the rectanglePBy or to the triangle AMP, or tothe curve NMP. Let AP or x receive a small incre-ment… … tm DIFFERENTIAL CALCULUS. (Art. 54.) If we conceive the surface ABMP to revolve ontIP as an axis, it will then describe a cylinder, and the differentialparallelogram (ydx) will describe the differential of this cylinder,which will be measured by {rty^dx). The revolution of the triangle AMP will…
Geometry, Analytic · Calculus
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