About the Book
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. 1876 Excerpt: ... destribe a cirde of a given radius, A B, to touch two conver-gent lines, C D and E F. Draw two lines, pari, to C D and E F, --at a distance from them equal line A B, --to intersect in G, --from G, with A B as radius, describe the circle. Fig. 182.--To destribe a cirde through a given point, A, to touch two con-vergent lines, B C and D E, one on each side of A-(fig. 12) Draw line F G, bisecting the angle formed by lines B C and (fig. 13) D E, --through A draw a line converging to the same point as lines B C and D E, --from any point, I, in F G, describe a circle touching the lines C B and D E, and cutting the line through A in H, --join H to the centre of the circle, I, --draw A K pari, to H I, --from K, with K A as radius, describe the circle. Fig. 183.--To destribe thrie circles of given radif, as lines 1, es and 3, to touch each other. Make line A B equal lines 1 and 2 joined in C, --from A and B, with radii A C and B C, describe two of the circles, --from C, with radius equal line 3, mark on either side of O points D and E, --from A and B, with radii A E and B D, describe arcs cutting in F, --from point F, with radius line 3, describe a circle, which will touch the other two. Fig. 184.--To destribe a cirde of a given radiia, A B, to touch two given circles. Join the centres of the circles, C and D, by a line cutting the circles in E and F, --add the line A B to each of the radii of the circles, in lines F H and E G, --from C and D, with radii C G and D H, describe arcs crossing in I, --from I, with radius A B, describe the circle. Fig. 185.--To destribe a series of circles, to touch each other, and two con-vergent lines, A B and C D. (fig. 12) Draw line E F, bisecting the angle formed by the given lines, --from any point, as G, in E F, draw a line, G H, pe
