. The railroad and engineering journal . inlerseclions o( these lines with each other, will bethe centers of three more circles, which, if drawn with the radiusD E, will be tangent to their adjacent circles and sides of thetriangles. PRrniLEM 56 (fig. gg). To draw in a given square, A B C D,the three largest equal circles it will contain, and which will betangent to the adjacent circles and sides of the square. If ./ BCD be the given square, draw the diagonals A Cand B D and the diameters !■. /and G II. Draw diagonalsE //, II F, F G and G F. through the small squares into whichthe larger one h
. The railroad and engineering journal . inlerseclions o( these lines with each other, will bethe centers of three more circles, which, if drawn with the radiusD E, will be tangent to their adjacent circles and sides of thetriangles. PRrniLEM 56 (fig. gg). To draw in a given square, A B C D,the three largest equal circles it will contain, and which will betangent to the adjacent circles and sides of the square. If ./ BCD be the given square, draw the diagonals A Cand B D and the diameters !■. /and G II. Draw diagonalsE //, II F, F G and G F. through the small squares into whichthe larger one has been divided by the diameters. Then I f Kand /, will be the centers of the required circles, which may bedrawn with a radius J M or J M. Pr(1B! 57 (fig. 100). If^ithin a given square, A B C D, to draw four equal circles, each touching two others and tangentto the middle of the side of the square. Draw the diagonals A C and B D and the diameters E Fand G If, as in the preceding problem. Bisect the angle O A B D G C % F Fig. Q Fig. 102. by the line A M, cutting G II in /. With a radius O J andcenter O draw a circle / A I. I cutting the diameter in thepoints /, K, L and /. which will be the required centers of thecircles which may be drawn with the radiusy //. Problem 58 (fig. loi). To dra-v three equal circles, IJ K,in a given circle A E C, which touch each other and the givencircle. With the radius of the given circle divide its circumferenceinto six equal parts, .-1 />, B C, C D, D E. E F and F the opposite points of division and the center O of the Vol. LXIV, No. 7.] ENGINEERING JOURNAL. 327 circle draw diameters A D, F Cand B E. From any of thepoints of division, as D, where one of the inner circles shouldtouch the given circle, draw a tangent G D and extend an ad-jacent diameter / C to cut G £> al G. Bisect the angle O G D A
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectrailroa, bookyear1887
