Tangent plane of a ball, a cylinder and a cone Tangent planes of curved surfaces: spherical surface, surface of a round cylinder, surface of a round cone. Cylinder inscribed into a prism. Cylinder circumscribed around a prism. Cone inscribed into a pyramid. Cone circumscribed around a pyramid. Consider three points A, B, C on a some curved surface ( Fig. 94 ) and … [Read more...]

## Ball (sphere)

Ball (sphere) Spherical surface. Ball (sphere). Center, radius and diameter of a ball. Sections of a ball. Large circle. Archimedean theorem. Parts of a ball: spherical segment, spherical layer, spherical zone, spherical sector. Spherical surface is a geometrical locus in a space, that is a totality of all points, equally removed from one point O, which is called a … [Read more...]

## Cone

Cone Conic surface. Directrix, generatrices and vertex of a conic surface. Cone. Pyramid as a particular case of a cone. Circular cone. Axis of a cone. Round cone. Conic sections. Conic surface is a surface, formed by a motion of a straight line ( AB, Fig.85 ), which goes constantly through an immovable point ( S ), and intersects with the given line MN, which is … [Read more...]

## Cylinder

Cylinder Cylindrical surface. Directrix and generatrices of a cylindrical surface. Cylinder. Right cylinder. Oblique cylinder. Circular cylinder. Round cylinder. Prism as a particular case of a cylinder. Cylindrical sections. Cylindrical surface is a surface, formed by a motion of a straight line (AB, Fig.82 ), which saves the same direction and intersects with … [Read more...]

## Polyhedrons. Prism, parallelepiped, pyramid

Polyhedrons. Prism, parallelepiped, pyramid Polyhedron. Convex polyhedron. Prism. Right prism. Oblique prism. Regular prism. Normal (orthogonal) section of a prism. Parallelepiped. Right parallelepiped. Right-angled parallelepiped. Cube. Pyramid. Regular pyramid. Truncated pyramid. Regular truncated pyramid. Polyhedron is a body, boundary of which consists of pieces … [Read more...]