The essentials of descriptive geometry . e again upon leavingthe surface. The simplest method of locating visible points ona curve of intersection of two surfaces is to locate first the visi-ble elements of the surface and of course points on these ele-ments are also visible. It is not necessary to actually draw theseelements but with a Kttle practice and study one can readilylocate the visible and invisible points by inspection. 112. Proposition 33. Given two cones to find their curve ofintersection. Discussion. Pass auxiliary planes through the apices of thetwo cones cutting elements from ea
The essentials of descriptive geometry . e again upon leavingthe surface. The simplest method of locating visible points ona curve of intersection of two surfaces is to locate first the visi-ble elements of the surface and of course points on these ele-ments are also visible. It is not necessary to actually draw theseelements but with a Kttle practice and study one can readilylocate the visible and invisible points by inspection. 112. Proposition 33. Given two cones to find their curve ofintersection. Discussion. Pass auxiliary planes through the apices of thetwo cones cutting elements from each. These elements beingin the same plane will intersect each other in points common toboth surfaces, or points on the curve of intersection. Construction. When the bases of the given cones are in thesame plane, as in Fig. no. Draw a line through the apices of the cones and find where itpierces H and V. These two points will be common to all theauxiliary planes. In the case given in Fig. no this line is par- INTERSECTION OF SURFACES 137. 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 T.
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Keywords: ., bookcentury1900, bookdecade1910, bookidcu3192400462, bookyear1915
