An illustration of a vertical cross section of the spherical zones of a casting with a diameter of 16…

Possible forms of the invariable cone by means of the intersections with a concentric spherical surface.

Illustration used to compare the volumes of a cone, a sphere, and a cylinder.

Diagram of a cone with spheres and cut by a plane to depict the conic sections.

Diagram of a cone with inscribed spheres and cut by various planes to depict the conic sections: circle,…

Illustration used to compare the surfaces of a cylinder and a sphere.

"The double convex lens may be described as the part common to two spheres that intersect each other.…

Diagram used to prove the theorem: "Every section of a sphere by a lane is a circle."

Diagram used to prove the theorem: "A plane perpendicular to a radius at its extremity is tangent to…

An 8-inch sphere cut by parallel planes, one 2 inches from center and the other 6 inches from center.…

A sphere with arcs and poles. "The distance of all points in the circumference of a circle of a sphere…

"Every section of a sphere made by a plane is a circle."

Diagram used to prove the theorem: "All points in the circumference of a circle of a sphere are equally…

An illustration of a sphere cut into polygons as bases with their vertices at the center of sphere.

An illustration of a sphere inside of a cylinder with radius/diameter labeled. Illustration for showing…

Illustration showing the development of a sphere by the perspective of its resolved cones.

An illustration of a sphere showing diameter, arcs, and circles. A sphere is a solid bounded by a curved…

An illustration of a sphere showing diameter, arcs, and circles. A sphere is a solid bounded by a curved…

Illustration of a sphere generated by the revolution of a semicircle ACB about its diameter AB as an…

Illustration of a sphere with a tangent plane. "A plane perpendicular to a radius at its extremity is…

Illustration of a sphere with a tangent plane. "A plane perpendicular to a radius at its extremity is…

Illustration of a sphere with a polyhedral angle whose vertex is at the center of the sphere and whose…

Illustration showing that "the solids formed by the dissected part of the sphere are pyramids."

A sphere with quadrants and poles. "A point on the surface of a sphere, which is at the distance of…

An illustration of a sphere showing a radius of 1 foot. Illustration could be used for calculating volume.

A wooden hollow sphere created by using a lathe and wooden templet at a desired diameter.

An illustration of a zone of a sphere. A zone occurs when a sphere is cut by parallel planes that are…

An illustration of a zone of a sphere. A zone occurs when a sphere is cut by parallel planes that are…

Illustration of equal spheres with equilateral and equiangular triangles.

Illustration of two intersecting spheres. "The intersection of two spherical surfaces is the circumference…

Diagram used to prove the theorem: "A spherical angle is measured by the arc of a great circle described…

An illustration of a flanged spherical segment with a diameter of 10 inches. Illustration could be used…

Diagram used to prove the theorem: "The volume of a spherical segment is equal to the sum of two cylinders…

Diagram used to prove the theorem: "In a spherical triangle, the greater side is opposite the greater…

Diagram showing 2 superimposed symmetrical spherical triangles.