Illustration showing the intersection of a plane with a cone.

Intersection Of A Plane And Cone

Illustration showing the intersection of a plane with a cone.

Illustration showing the intersection of a plane with a cone. The solid is shown in perspective and the triangles that are to be located in the projections are represented in the drawing.

Intersection Of A Plane And Cone

Illustration showing the intersection of a plane with a cone. The solid is shown in perspective and…

Illustration of the intersection of 3 cones.

3 Intersecting Cones

Illustration of the intersection of 3 cones.

Illustration of the intersection of a cylinder and a sphere.

Intersecting Cylinder and Sphere

Illustration of the intersection of a cylinder and a sphere.

Illustration of the intersection of a cylinder and a sphere.

Intersecting Cylinder and Sphere

Illustration of the intersection of a cylinder and a sphere.

Illustration of a cylinder cut by a plane making an angle of 57° with the base.

Plane Intersecting A Cylinder

Illustration of a cylinder cut by a plane making an angle of 57° with the base.

Illustration showing the intersection of a plane with a cylinder.

Plane Intersecting Cylinder

Illustration showing the intersection of a plane with a cylinder.

Illustration showing the intersection of two intersecting cylinders.

2 Intersecting Cylinders

Illustration showing the intersection of two intersecting cylinders.

Illustration of the intersection of 2 cylinders of equal diameter.

Intersecting Cylinders

Illustration of the intersection of 2 cylinders of equal diameter.

Illustration of the intersection of 2 cylinders of equal diameter.

Intersecting Cylinders

Illustration of the intersection of 2 cylinders of equal diameter.

Illustration of the intersection of 3 cylinders of equal diameter.

Intersecting Cylinders

Illustration of the intersection of 3 cylinders of equal diameter.

Illustration of the intersection of 2 cylinders of equal diameter.

Intersecting Cylinders

Illustration of the intersection of 2 cylinders of equal diameter.

Illustration of the intersection of 2 cylinders of unequal diameter.

Intersecting Cylinders

Illustration of the intersection of 2 cylinders of unequal diameter.

Diagram used to prove the theorem: "Every point in a plane which bisects a dihedral angle is equidistant from the faces of the angle"

Plane Bisecting Dihedral Angle

Diagram used to prove the theorem: "Every point in a plane which bisects a dihedral angle is equidistant…

Illustration of a cone cut by a plane that is not parallel to the base and does not intersect the base.

Conic Section Ellipse

Illustration of a cone cut by a plane that is not parallel to the base and does not intersect the base.

Illustration of a cone cut by a plane parallel to the axis of the cone and perpendicular to the vertical plane of projection. The curve made by the intersection of the plane and the cone is called a hyperbola.

Conic Section Hyperbola

Illustration of a cone cut by a plane parallel to the axis of the cone and perpendicular to the vertical…

Illustration showing the intersection of a plane with an octagonal prism.

Plane Intersecting Octagonal Prism

Illustration showing the intersection of a plane with an octagonal prism.

Illustration of a cone cut by a plane that is parallel to one of the elements of the cone. The curve made by the intersection of the plane and the cone is called a parabola.

Conic Section Parabola

Illustration of a cone cut by a plane that is parallel to one of the elements of the cone. The curve…

"If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular to that plane."

2 Intersecting Planes Perpendicular To A Third Plane

"If two intersecting planes are each perpendicular to a third plane, their intersection is also perpendicular…

"Through a given line oblique to a plane, one, and only one plane, can be passed perpendicular to the given plane."

Plane Passed Perpendicular To A Given Plane

"Through a given line oblique to a plane, one, and only one plane, can be passed perpendicular to the…

"If two planes are perpendicular to each other, a line in one of them perpendicular to the intersection is perpendicular to the other."

Perpendicular Planes

"If two planes are perpendicular to each other, a line in one of them perpendicular to the intersection…

Illustration of the intersection of an octagonal prism and a cylinder. The figures intersect at an oblique angle.

Intersecting Prism and Cylinder

Illustration of the intersection of an octagonal prism and a cylinder. The figures intersect at an oblique…

Illustration of the intersection of a quadrangular prism and an octagonal prism. The figures intersect at a right angle.

Intersecting Prisms

Illustration of the intersection of a quadrangular prism and an octagonal prism. The figures intersect…

Illustration showing the cone being treated as a many-sided pyramid.

Relation Of Pyramid To Cone

Illustration showing the cone being treated as a many-sided pyramid.