The essentials of descriptive geometry . Fig. 110. 138 ESSENTIALS OF DESCRIPTIVE GEOMETRY allel to H so that all the H traces of the auxihary planes wiU beparallel to it. The plane S cuts one element from the righthand cone and two elements from the other; the elements in-tersect at B and D, two points on the curve of intersection. Inlike manner other points may be located but all the pointscommon to both surfaces will lie in auxihary planes betweenplanes S and Fig. III. Construction. When the bases of the given cones are indifferent planes. In Fig. Ill two right cones, one with its base i
The essentials of descriptive geometry . Fig. 110. 138 ESSENTIALS OF DESCRIPTIVE GEOMETRY allel to H so that all the H traces of the auxihary planes wiU beparallel to it. The plane S cuts one element from the righthand cone and two elements from the other; the elements in-tersect at B and D, two points on the curve of intersection. Inlike manner other points may be located but all the pointscommon to both surfaces will lie in auxihary planes betweenplanes S and Fig. III. Construction. When the bases of the given cones are indifferent planes. In Fig. Ill two right cones, one with its base in H and theother with its base in P, intersect. As before, the apices arejoined; this line OQ is common to all the auxiliary planes andits H piercing point, 0, is common, therefore, to all the H tracesand its P piercing point, Q, to all the P traces. As before, locate INTERSECTION OF SURFACES 139 the limiting planes, S and R, and find the points common to bothsurfaces. 113. Proposition 34. Given a cone and a cyhnder to findtheir intersection. Discussion. Pass planes through the apex of the cone parallelto the elements of the cylinder. These planes will cut elements
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