Descriptive geometry . ired tangent line It will be observed that this rule is perfectly general,and applies to tin intersection of an\ two curved surfaceswhatever. The rule fails when the two tangenl planes coin-cide, which occurs at a point where there is a, multiple orisolated point in the intersection. CHAPTER XXV THE INTERSECTION OF CONES AND CYLINDERS WITHEACH OTHER 189. The Intersection of Cones and Cylinders. The intersec-tion of two surfaces, each of which may be either a cone or acylinder, gives rise to three problems; viz. the intersection of (a) Two cylinders. (p) Tico cones. (c) A


Descriptive geometry . ired tangent line It will be observed that this rule is perfectly general,and applies to tin intersection of an\ two curved surfaceswhatever. The rule fails when the two tangenl planes coin-cide, which occurs at a point where there is a, multiple orisolated point in the intersection. CHAPTER XXV THE INTERSECTION OF CONES AND CYLINDERS WITHEACH OTHER 189. The Intersection of Cones and Cylinders. The intersec-tion of two surfaces, each of which may be either a cone or acylinder, gives rise to three problems; viz. the intersection of (a) Two cylinders. (p) Tico cones. (c) A cylinder and a cone. These are essentially three cases of a single problem; namely,the intersection of two single curved surfaces, and the samegeneral principles can be applied throughout. In consideringthe details of construction, however, it is more convenient totreat the cases as separate problems. 190. The Auxiliary Planes. In rinding the intersections ofcylinders and cones, we shall employ planes as the auxiliary.


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