Perspective and geometrical drawing adapted to the use of candidates for second and third-class teachers' certificates . arallel to , and 2^ within it. 8. Draw an isosceles triangle, base 4, equal sides 3 each,directly in front, paxallel to and 4 from it; vertex touchesground, and base is parallel to it. 9. An equilateral triangle, each of whose sides is 4, lies onthe ground, vertex directed away; one side parallel to 46 DRAWING. and 2 from it. Triangle 2 to right. Within this place cen-trally a similar triangle whose sides are 2. 10. An equilateral triangle, each of whose sides
Perspective and geometrical drawing adapted to the use of candidates for second and third-class teachers' certificates . arallel to , and 2^ within it. 8. Draw an isosceles triangle, base 4, equal sides 3 each,directly in front, paxallel to and 4 from it; vertex touchesground, and base is parallel to it. 9. An equilateral triangle, each of whose sides is 4, lies onthe ground, vertex directed away; one side parallel to 46 DRAWING. and 2 from it. Triangle 2 to right. Within this place cen-trally a similar triangle whose sides are 2. 10. An equilateral triangle, each of whose sides is 4, is _j_to ground and also to , which it touches at a point 5 toleft; the vertex of the triangle is directed downwards, andone side is horizontal. Tlie triangle is buried one-fourth inthe ground. Draw it. THE HEXAGON. 47 Ttie Hexagon. A hexagon is a figure bounded by six sides. When thesides and angles are all equal the hexagon is regular. Onlyregular hexagons will be considered here. In drawing a hexagon, a plan is made somewhat similar tothat for the triangle. The following is the general form ofthe Fig. 26. Let =base line, and AB given side of hexagon, and ingiven position. Bisect AB in C, make AD and BE each equalBC; on DE describe equilateral triangle DFE, and constructoblong DL. Bisect DK in G ; draw GH parallel to KL; joinAG, GM, BH and HN. With centre D and distances DGand DK describe arcs to cut in X and P triangles, hexagons may lie flat on the ground, with aside parallel to the or to , or they may be drawnperpendicular to the ground plane, with a side or an angletouching it; and a side or an angle may touch the or bewithin it. (Fig. 26.) If a side touch the , the extremity of it determines the 48 DRAWING. distance of the hexagon to the right or left. When an angletouches the , that point determines the distance; so alsowhen the figure is within the Example 1,—Draw a hexagon, each side 2^, lying o
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Keywords: ., bookcentury1800, booksubjectgeometricald, booksubjectperspective
