Calculus, with applications; an introduction to the mathematical treatment of science (1900)
Hayes, Ellen, 1851- · Boston, Allyn and Bacon · leaf 68
which is tracing the arc that measures 0. If we im-agine an arrow to lie in the line AB and rotate withit, the barb may be regarded as tracing the arc thatmeasures #, while the feather-end is negative. 46. Let PPf be an arc 8s of a curve f(r, 0) = 0, PQthe arc of a circle whose radius is r; and let… … THE GRAPH. 57 angle made by the radius vector OP and the tangent to the curve ; then tan 6 = ~^~ = -=—. QP dr Whenever the radius vector r is a maximum or mini-mum, the tangent atits extremity mustbe at right angles toit; that is, rdO dr A dr rdd Points for which r is a maximum or minimum are…
Calculus · Geometry, Analytic
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