P78

projection cylinder

Projection curve

cylinder

tapered surface

Surface of revolution

ellipsoid

Hyperboloid

paraboloid

For a point on a single-leaf hyperboloid, one direct generatrix from each of the two families of direct generatrix passes through the point.

Any two straight busbars of different families on a single-leaf hyperboloid must be coplanar.

Any two straight busbars of the same family on a single-leaf hyperboloid are always straight lines of different planes.

For a point on the hyperbolic paraboloid, one straight generatrix from each of the two families of straight generatrix passes through the point.

Any two straight generatrixes of different families on a hyperbolic paraboloid must intersect.

Any two straight generatrixes in the same family of hyperbolic paraboloids are always straight lines in different planes, and all straight generatrixes in the same family of hyperbolic paraboloids are parallel to the same plane.

asymptotic direction

center

Asymptote

Tangent line (tangent point)

Singular point (normal point)

Diameter (conjugate chord)

Main diameter (main direction)

Characteristic equation (characteristic root)

invariant

vector parametric equations

coordinate parametric equation

standard equation

Standard equation through two points

French equation

The plane equation determined by the orientation vector of a point on the plane and the plane

general equation of plane

French equation of plane

Addition of vectors

Quantity multiplied by vector

Linear relationship of vectors and decomposition of vectors

Frame and coordinates

Projection of a vector on an axis

Quantitative product of two vectors

vector product of two vectors