Stereometry

Basics of stereometry.

Stereometry

Axioms of stereometry

Plane and point

Plane and straight

Parallelism of lines and planes.

Parallel lines in space

Parallel straight lines in space. Properties

Sign of parallel lines in space

Sign of parallelism of a line and a plane

Sign of parallel planes

The existence of a plane parallel to the plane

Properties of parallel planes

Properties of parallel planes, equality of segments

Perpendicular straight lines and planes.

Perpendicular lines in space

The sign of perpendicularity of the line and the plane

Property perpendicular line and plane

Property of straight lines perpendicular to the plane

Perpendicular and inclined

Three perpendicular theorem

Three perpendicular inverse theorem

Perpendicular planes

The sign of perpendicular planes

The distance between intersecting straight

The distance between intersecting straight lines. Properties

Cartesian coordinates in space.

Cartesian coordinates in space

The distance between points in space

The coordinates of the middle of the segment in space

Movement in space

Parallel transport in space

Similarity of spatial figures

Homothety in space

Angle between intersecting straight lines

Angle between straight line and plane

Angle between planes

The angle between the planes. Property

The area of ​​the orthogonal projection of the polygon

Vectors in space

Actions on vectors

Polyhedra.

Dihedral angle

Triangular and multifaceted corners

Polyhedra

Prism

Straight prism

Straight prism. Properties

Parallelepiped

Parallelepiped. Properties

Central symmetry of the parallelepiped

Rectangular parallelepiped

Rectangular parallelepiped. Property

Pyramid

Truncated pyramid

Correct pyramid

The correct pyramid. Properties

Regular polyhedra

Body rotation.

Cylinder

Cylinder. Properties

Cylinder section plane

Prism inscribed and described

Cone

The cross section of the cone planes

Pyramid inscribed and described

Ball

The cross section of the ball plane

Ball symmetry

Tangent plane to the ball

Intersection of two spheres

Polyhedra inscribed and described

Volumes of polyhedra.

Volume

Equal body

Central symmetry of the parallelepiped

Volume of a rectangular parallelepiped

Inclined parallelepiped volume

Arbitrary prism volume

Triangular prism volume

Equal body

Volume of a triangular pyramid

The volume of an arbitrary pyramid

The volume of the truncated pyramid

Volumetric and surfaces of bodies of revolution.

Cylinder volume

Cone volume

Truncated cone volume

The general formula for volumes of bodies of revolution

Ball volume

Ball segment volume

Volume of the ball sector

The surface area of ​​the cylinder

The surface area of ​​the cone

Sphere area