of theradius of curvature. If AB\ BCbe consecutive positions of the os- ^^^^ ^c culating and normal planes, B^ is in the direction of the con-secutive radius of curvature, and BB^ measures the anglebetween them. Now the triangle BOB being a very smallright-angled triangle, we have BB^ — BG^+ 0B\ *… … 338 CURVES AND DEVELOPABLES. But since the angle ABCis right, BO measures BAB\ whichis drj^ the angle between two consecutive osculating planes,and OB measures OCB\ which is dO^ the angle betweentwo consecutive normal planes. The required angle is there-fore given by the formula BB^ = drj^ -{-d6\…
Geometry, Analytic · Surfaces
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