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. 1890 Excerpt: ...r = a(l--cos6); prove that the fixed and moving centrodes are circles. 14. A straight line ACB slides on a fixed curve, the middle point C being always in contact with the curve; if 1/p is the curvature at C, and 1/r and 1/s are the curvatures of the paths of A and B, and if AB = 2c, prove that 15. A given point in a ...
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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. 1890 Excerpt: ...r = a(l--cos6); prove that the fixed and moving centrodes are circles. 14. A straight line ACB slides on a fixed curve, the middle point C being always in contact with the curve; if 1/p is the curvature at C, and 1/r and 1/s are the curvatures of the paths of A and B, and if AB = 2c, prove that 15. A given point in a straight line moves along a given diameter, produced, of a given circle, and the straight line always touches the circle; prove that this motion is equivalent to the rolling of a parabola upon the curve, ay = (a; + ay(2ax + x), the parabola starting with its vertex at the origin. 16. The end P of a finite line PQ travels on a closed curve which has no points of inflexion, and the line PQ is inclined at a constant angle to the normal at P. Find the area included between the locus of Q and the curve, and shew that if O be the centre of curvature at P the motion of Q is perpendicular to QO. 17. Two tangents, inclined to each other at a given angle, move round a closed curve without cusps, or points of inflexion, and the external angle is divided into two constant parts a and B; prove that the length of the envelope of the dividing line is to the length of the given curve, as a--B. a + B cos---is to cos----. 18. One end of a straight rod moves round the circumference of a circle, and the rod always passes through a fixed point of the circumference; prove that this motion can be produced by rolling a circle with internal contact upon a circle of half its radius. 19. If a straight rod pass through the vertex of a parabola, and one end move along the arc of the curve, shew that this motion can be produced by rolling the curve cfy = (a;2 + 4a8) a2 + 4a" (x" + y) upon the curve 8ay = x (x--4a). 20. An involute of a circle slides on a straight ...
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Add this copy of Notes On Roulettes and Glissettes to cart. $15.42, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of Notes On Roulettes and Glissettes to cart. $25.67, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2022 by Legare Street Press.
Add this copy of Notes On Roulettes and Glissettes to cart. $26.58, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of Notes On Roulettes and Glissettes to cart. $38.96, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2022 by Legare Street Press.
