| Etienne Bézout - Calculus - 1836 - 216 pages
...the development of the element n n' of the curve BN (fig. 31), the thread traces the small arc mm1, this arc has the same curvature as the circle which...is less, that is, as the curvatures of circles are in the inverse ratio of their radii, it will be easy to compare the curvature of a curve at any point... | |
| Horace Lamb - Calculus - 1897 - 644 pages
...cty_! ds ~ R' ie the curvature of a circle is measured by the reciprocal of its radius. Hence, if p be the radius of the circle which has the same curvature as the given curve at the point P, we have ds P = d+ ........................... <2)' A circle of this radius,... | |
| William Moses Feldman - Biology - 1923 - 454 pages
...curvature as the curve at the point B. Hence, the radius of curvature at any point B of a given curve is the radius of the circle which has the same curvature as the curve at that point. Formula for Curvature. — It can be shown that, if p — radius of curvature of the... | |
| 558 pages
...di/r_j. ds 'R' ie the curvature of a circle is measured by the reciprocal of its radius. Hence, if p be the radius of the circle which has the same curvature as the given curve at the point P, we have da 0. • Other methods are explained in Arts, latí, 137. A circle... | |
| 556 pages
...d± 1 ds ~R' ie the curvature of a circle is measured by the reciprocal of its radius. Hence, if p be the radius of the circle which has the same curvature as the given curve at the point P, we have A circle of this radius, having the same tangent at P, and its... | |
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