The illustrated London practical geometry; and its application to architectural drawing for the use of schools and students

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. 1853 Excerpt: ...m; produce g a to meet this in m; two of the pentagonal sides are found. To DESCRIBE AN OCTAGON ABOUT A SQUARE. (Fig. 163.) Draw diagonals, cutting in e; from e, with e b, describe a circle; bisect c d, ca,va.f and g, from these draw lines through, meeting the circle; join the points. To Describe A Hexagon About A Hexagon.--(Fig. 164.)--Produce a b, c d, to e; bisect be, d e, in/g; draw from b and d through these, cutting in h; from m, the centre of the given hexagon, with a h, describe a circle j bisect all the sides of the hexagon, as a b, e d; through the centre m from these draw lines, touching the circle; join the points. To Describe A Square About An Equilateral Triangle.--(Fig. 165.--Bisect b c in d; draw d a; produce be; make d e, d e=d a; join e a; from d, with d c, describe c f b--from f, through b c, draw to h g. fig. 165. fig. 166. To Inscribe Four Circles Within A Circle.--(Fig. 166.)--Draw diagonals, cutting in e; join a c; from c, with a c, lay oS on c d to d; with d c, from abed, lay off in the diameters to g h tf; with radius f b describe from these points the four circles. To Inscribe Three Circles Within An Eqilateral Triangle.--(Fig. 167.)--Bisect the sides in def, and from these draw to the opposite angles; with a d, from efd, lay off to m n o; describe from these the three circles. Note.--By joining the points m n o by lines, a triangle may be inscribed within the other. To Inscribe Four Circles Within A Square. (Fig, 168.)--Bisect the sides, and draw lines from the points, cutting in e; join a c; from c, with c e, cut a c in d; with d a, from abed, lay off in the diameters; these are the centres of the circles of which a d= radius. A Triangle Being Given, To Construct A Parallelogram Equal To It.--(Pig. 169.)--From the apex a draw a e...