Page 5 - 4234
P. 5
6.2 POINTS AND LINE ON THE SURFACE OF THE SOLID 54
6.3 SURFACES OF REVOLUTION 55
6.4 POINTS ON THE SURFACES 57
6.5 DEVELOPMENTS 58
6.5.1 METHODS TO DEVELOP SURFACES 58
7 INTERSECTIONS OF SOLIDS AND SURFACES 63
7.1 INTERSECTIONS OF POLYHEDRON AND PLANE 63
7.2 INTERSECTION OF A PLANE WITH A CURVED SURFACE 64
7.2.1 INTERSECTION OF SURFACE OF REVOLUTION AND
PLANE 64
7.2.2 INTERSECTION OF CONE AND PLANE 66
7.3 THE INTERSECTION OF SURFACES 69
7.4 INTERSECTION OF SOLIDS BOUNDED BY PLANE SURFACES
(POLYHEDRONS) 72
7.5 INTERSECTION OF CURVE SURFACES 73
7.5.1 AUXILIARY SURFACE METHOD 74
7.5.2 INTERSECTIONS OF SPHERE AND ELEMENTARY SURFACES 75
7.5.3 CUTTING-SPHERE METHOD 77
REFERENCES 81
5