This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1912 Excerpt: ...of is positive or negative; hence, in the expression for R, the radical in the numerator is always to be given the positive sign. The sign of B changes as the point P passes through a point of inflexion on the given curve (Fig. 44). It is evident from the figure that in this case B passes through an infinite value; _2 ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1912 Excerpt: ...of is positive or negative; hence, in the expression for R, the radical in the numerator is always to be given the positive sign. The sign of B changes as the point P passes through a point of inflexion on the given curve (Fig. 44). It is evident from the figure that in this case B passes through an infinite value; _2 FlO. 43 Flu. 44 for the circle through the points N, P, Q approaches coincidence with the inflexional tangent when N and Q approach coincidence with P, and the center of this circle at the same time passes to infinity. 94. Total curvature of a given arc; average curvature. The total curvature of an arc PQ (Fig. 45) in which the bending is in one direction, is the angle through which the tangent swings as the point of contact moves from the initial point P to the terminal point Q; or, in other words, it is the angle between the tangents at P and Q, measured from the former to the latter. Thus the total curvature of a given arc is positive or negative according as the bending is in the positive or negative direction of rotation. The total curvature of an arc divided by the length of the arc is called the average curvature of the arc. If the length of the arc PQ is As centimeters, and if its total curvature is Af 95. Measure of curvature at a given point. The measure of the curvature of a given curve at a given point P is the limit which the average curvature of the arc PQ approaches when the point Q approaches coincidence with P. Since the average curvature of the arc PQ is the measure of the curvature at the point P is and may he regarded as the rate of deflection of the arc from the tangent estimated per unit of length; or, as the ratio of the angular velocity of the tangent to the linear velocity of the point of contact. To express K in terms...
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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