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 books.google.com In fact, it pictures the equilibrium of a lever in which the cone and a sphere on the
left side balance a cylinder of material four times as dense on the right side. The
relationship between the cone, sphere, and cylinder is shown in Figure 14.2(a). 

 books.google.com Heo et al use circle decomposition to solve intersection problem of two canal
surfaces in [6], which subdivides a canal surface into a ... In fact, conesphere is a
special case of RQsphere, cyclide decomposition reduces canal/canal
intersection ... 

 books.google.com ConePlane Intersection CONIC SECTION ConeSphere Intersection Let a
CONE of opening parameter c and vertex at / (0; 0; 0)/ intersect a SPHERE of
RADIUS r centered at / (x0; y0; z0)/, with the CONE oriented such that its axis
does not ... 

 books.google.com We also found that when the tolerance becomes very tiny value or the curvature
of the spine curve big enough, conesphere results in local selfintersection
unavoidably. However, RQsphere can avoid such local selfintersection very
well. 

 books.google.com case where the planes are tangent to both cone and cylinder, the two curves of
intersection just touch each other. The same method may ... To find the line of
intersection of a sphere and a cone or a sphere and a cylinder. Analysis 1. If the
cone ... 

 books.google.com A.K. Sharma. x2 + y2 + z2 + 2ux + d = 0 The radical plane of two spheres x2 + y2
+ z2 + 2u,x + d, = 0 and x2 + y2 + z2 + 2u,x + d2 = 0 of the system (i) is 2(u,  u,) x
+ (d,  d2) = 0 ...(ii) Now if yzplane is chosen as the radical plane then the ... 

 books.google.com Due to the difficulty of the cone intersection and partial coverage calculation for
most objects, the environment is restricted to spheres, planes, and polygons. Kirk
[38] extended the cone technique by accelerating the processing of partial ... 

 books.google.com these spheres through the point V ; this plane will he tangent to both cones, and,
consequently, the plane required. ... in which {he circles of contact of the cylinder
and spheres intersect the circles of contact of the cones and spheres , for these ... 

 books.google.com Table 9.1 Cases of Intersection The two solids may intersect in different ways. ... If
any of the solids do not have edges along the intersecting surface (viz. cylinder,
cone, sphere), POIs may be located at the intersections of imaginary generators ... 

 books.google.com Table 17.1 Cases of Intersection 1st solid Prism Pyramid Cylinder Cone Sphere
Prism Case 1 Pyramid Case 2 Case 6 2nd solid Cylinder Case 3 Case 7 Case 10
Cone Case 4 Case 8 Case 11 Case 13 Sphere Case 5 Case 9 Case 12 Case ... 

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