The essentials of descriptive geometry . Fig. 70. 88 ESSENTIALS OF DESCRIPTIVE GEOMETRY. Fig. 71. There are innumerable warped surfaces since there are innumerable combinationsof generatrices, directrices,and plane directors butcomparatively few of themare important commer-cially, and these will bediscussed in detail in alater chapter. 78. .A surface of revolu-tion is generated by themotion of a line aboutanother Hne called the axisof revolution. The gen-erating line may be eitherstraight or curved; in casethe generatrix is a straight Une the resulting surface will be a ruled surface of revolu
The essentials of descriptive geometry . Fig. 70. 88 ESSENTIALS OF DESCRIPTIVE GEOMETRY. Fig. 71. There are innumerable warped surfaces since there are innumerable combinationsof generatrices, directrices,and plane directors butcomparatively few of themare important commer-cially, and these will bediscussed in detail in alater chapter. 78. .A surface of revolu-tion is generated by themotion of a line aboutanother Hne called the axisof revolution. The gen-erating line may be eitherstraight or curved; in casethe generatrix is a straight Une the resulting surface will be a ruled surface of revolution; if the generatrix is a curved Hne the resulting surface will be a double curved surface of revo-lution. In Fig. 72 the circle whose center is at O is re-volved about the axis of revolution AB. The resulting surface is a double curved surface of revolution called an annular torus. In the figure one-quarter of the surface has been cut away in order to show the curvilinear generatrix. Whether the generatrix is straight or curved all surfaces of revolution have a circular section i
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