Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 239
t which departs most rapidlyfrom its tangent, is said to have the greatest curvature. From this definition it is obvious that the greater the radius,the less the curvature, and our object is nowto find the relation existing between the radiusand the curvature. Let two circles touch each other… … OSCULATING CURVES. 231 circle is measured by Am, and of the outer circle by Am, be-cause these are the relative deviations of these two curves from atangent. Let r be the radius of the inner circle, and B that of the exte-rior and larger circle. Also, let c represent the chord AB, itwill therefore…
Geometry, Analytic · Calculus
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