Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 71
perpendicular to thechord KP at P, that is the tangent is the chord PII of thegenerating circle.* The perpendicular to the tangent to a curve at the point oftangency is called the normal to thecurve at that point. Hence the chordKP is the normal to the cycloid at P. Take the axis of the cycloid as… … That is, (1) X: y rd -\- r sin i determine for every value of ^ a point of the cycloid. Theequation between x and y is found either directly from thefigure, y =z LD + PL = r vers - + V2 rx — x-; This method of drawing a tangent to the cycloid is due to Descartes. VLOTTING OF THANSiCENDENTAL…
Geometry, Analytic
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