The essentials of descriptive geometry . Fig. 139. 174 ESSENTIALS OF DESCRIPTIVE GEOMETRY. WARPED SURFACES I7S 141. Proposition 44. To develop a warped While warped surfaces may not be truly devel-oped, patterns for some warped surfaces may be laid out which, a \ \im »)>\^ \\>^ ? \ \ 0 ll ^ J/ p Fig. 141. when formed, approximate the original surface closely enoughfor commercial purposes. An example of this is shown in thedevelopment of the warped cone in Fig. 142. 176 ESSENTIALS OF DESCRIPTIVE GEOMETRY

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