Descriptive geometry . ig. 191. Fig. 192. great circle of the sphere in elevation, and are projected at onceto 4, 10, 6 and 8. Other points are found by means of aux-iliary planes parallel to V, as in the preceding figure. Theplane T, passed through ch, gives the points 3 and 11, in which XIII, § 131] INTERSECTION OF SOLIDS 123 the intersection is tangent to the outline of the cylinder. Thevisibility of the curve and of the outlines of the surfaces isdetermined as previously explained. Example 2 (Fig. 192). Given a sphere and an elliptical cylin-der. The intersection and the visibility are fou
Descriptive geometry . ig. 191. Fig. 192. great circle of the sphere in elevation, and are projected at onceto 4, 10, 6 and 8. Other points are found by means of aux-iliary planes parallel to V, as in the preceding figure. Theplane T, passed through ch, gives the points 3 and 11, in which XIII, § 131] INTERSECTION OF SOLIDS 123 the intersection is tangent to the outline of the cylinder. Thevisibility of the curve and of the outlines of the surfaces isdetermined as previously explained. Example 2 (Fig. 192). Given a sphere and an elliptical cylin-der. The intersection and the visibility are found as in Ex-ample 1. Notice that here two parts of the curve are visible. Example 3 (Fig. 193). Given a sphere and a circular cylin-der. In this case an inspection of the plan serves to show thatthe intersection will consist of two curves, each entirely distinctfrom the other. Each curve in elevation will be symmetricalwith respect to the horizontal center line of the sphere (why.).The solution is left to the
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