Descriptive geometry . wholly in V. In Fig. 57, the actual shadow falls partly on //and partly on V. To find this shadow, Ave may find the com-plete shadow on each plane, regarding the other plane as trans-parent, and then take the actual portion of each shadow. Butthe two shadows, asbs and atbt, one in // and one in V, must in-tersect in a point, e, in GL, since this line is the intersection ofthe planes // and V. Hence we may find one complete shadow,as a b, note the point e in which ajb, crosses GL, and draw frome to the actual shadow at. 43. Shadows of Surfaces. Shadows of surfaces and sol
Descriptive geometry . wholly in V. In Fig. 57, the actual shadow falls partly on //and partly on V. To find this shadow, Ave may find the com-plete shadow on each plane, regarding the other plane as trans-parent, and then take the actual portion of each shadow. Butthe two shadows, asbs and atbt, one in // and one in V, must in-tersect in a point, e, in GL, since this line is the intersection ofthe planes // and V. Hence we may find one complete shadow,as a b, note the point e in which ajb, crosses GL, and draw frome to the actual shadow at. 43. Shadows of Surfaces. Shadows of surfaces and solids arefound by extending the methods just given for the pointand straight line. The only other case which will be takenup at this time is that of a convex solid bounded by planefaces. 28 DESCRIPTIVE GEOMETRY [IV, § 44 44. Shadow of a Convex Solid. A frustum of an irregulartriangular pyramid (Eig. 58) has six corners and nine rectilinearedges. Not all of them cast shadows which lie on the boundaryof the complete shado
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