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An Introduction to the Theory of Moving Axes with Application to Curves in Space and Curves on Surfaces


     

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Consider a curve PQR… ; along the tangents at P,Q,R…take lengths PP', QQ', RR'…equal to the arcs PB, QB, RB…, then the curve P'Q'R' . . . Is an inrolute of PQR... By varying the position of B, we obtain an infinite number of involutes.
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  • An Introduction to the Theory of Moving Axes with Application to Curves in Space and Curves on Surfaces

Abstract Views: 239  |  PDF Views: 0

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Consider a curve PQR… ; along the tangents at P,Q,R…take lengths PP', QQ', RR'…equal to the arcs PB, QB, RB…, then the curve P'Q'R' . . . Is an inrolute of PQR... By varying the position of B, we obtain an infinite number of involutes.