Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 334
nt. Ex. 2. — Inscribe a A DEF of minimum perimeter in the A ABC. Hint.—By similar reasoning show that FD and DE make equalangles with BC, DE and EF make equal angles with CA, and EF andFD make equal angles with AB. By Elementary Geometry we caneasily show that DEF is the pedal triangle, ^.e., D, E,… … Fig. 164 a Fij. 318 ANALYTICAL GEOMETRY with respect to 0, and 0 is called the pole of the pedal. Thus, withrespect to a focus, the pedal of au ellipse or hyperbola is the auxiliarycircle, and the pedal of a parabola is the tangent at the vertex. Weshall now find the pedal of a circle.
Geometry, Analytic
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