Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 306
oarbitrary constants for the equation of a straight line, sincetwo simultaneous equations furnish only enough conditionsto determine two unknowns. Likewise a circle requiring three conditions may havecontact of the second order, for three equations will thenbe required, namely: KP) = F(#),l(p) =… … Fig. 27. tangency moves from one end of the arc to the other; orwhat is the same thing it is the difference between the slopesat these two points. In Fig. 27 the total curvature of thearc MN is </> — <f> = A<£, say. It is evident from geometry 298 Elementary Calculus. that <// —…
Geometry, Analytic · Calculus
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