The essentials of descriptive geometry . WARPED SURFACES 177 Construction. Make the development by the method of tri-angulation as explained in Article 107. 142. There are many other forms of warped surfaces thanthose which are here considered; but as they are seldom encoun-tered in practical work and possess, therefore, little interest tothe engineer or architect, it has been thought well to omit principles by which warped surfaces in general are repre-sented and by which problems relating to such surfaces are solvedhave been discussed in detail, and no peculiar difficulties shouldbe


The essentials of descriptive geometry . WARPED SURFACES 177 Construction. Make the development by the method of tri-angulation as explained in Article 107. 142. There are many other forms of warped surfaces thanthose which are here considered; but as they are seldom encoun-tered in practical work and possess, therefore, little interest tothe engineer or architect, it has been thought well to omit principles by which warped surfaces in general are repre-sented and by which problems relating to such surfaces are solvedhave been discussed in detail, and no peculiar difficulties shouldbe encountered in solving problems relating to the more obscuresurfaces omitted from consideration here. PROBLEMS ON WARPED SURFACES 257. The plane T is o; 90; 45. The point O lies in plane T at ij;ij; o and is the center of a 2 circle also in the plane T. The plane Sis s; 90; 150. The point Q lies in the H trace of plane S in the profileplane 3i; 90; 90 and is the center of a 3 circle lying in plane S. Withthese two circles as directrice


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