Straight Line Moving to Two circles

Illustration showing a line that remains parallel to a given line, and touches at one end a given circumference.

Circle Made by Ends of a Line Touching Two Fixed Lines Perpendicular to Each Other

Illustration showing a line that moves so that its ends constantly touch two fixed lines which are perpendicular…

Circle Inscribed in a Nonagon

Illustration of a circle inscribed in a regular nonagon. This could also be described as a regular nonagon…

Construction Of Octagon Inscribed In Circle

Illustration used to show how to inscribe a regular octagon in a given circle.

Development Exercise of Octagonal Roof and True Shape of Rafter

Problem exercise in drawing a development or a stretchout image of the octagonal roof and finding the…

Lines of Symmetry, Oval With

Oval with dotted vertical and horizontal lines that are lines of symmetry.

Construction Of A Pentagon Inscribed In A Circle

An illustration showing how to construct a pentagon inscribed in a circle. "Draw the diameter AB, and…

Construction Of Pentagon Inscribed In Circle

Illustration used to show how to inscribe a regular pentagon in a given circle.

Construction Of A Pentagon On A Line

An illustration showing how to construct a pentagon on a given line. "From B erect BC perpendicular…

Pentagon Inscribed & Circumscribed in Circles

Regular pentagon inscribed in a circle, circumscribed about a circle.

Cyclic Pentagon

Illustration of a cyclic pentagon, a pentagon inscribed in a circle. This can also be described as a…

Pentagon Inscribed in Circle by Construction

Illustration of pentagon inscribed in circle. Or, circle circumscribed about pentagon. Construction…

Regular Pentagon With Circle Inscribed

Illustration showing a circle inscribed in a regular pentagon. Or, a regular pentagon circumscribed…

Circle With 2 Perpendicular Diameters

Illustration of a circle with center O and diameters AB and CD perpendicular to each other.

Cross Section of Pipe

Cross section of pipe, 2 concentric circles

Sphere Cut By Plane

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

Construction Of Polygon Inscribed In Circle

Illustration used to show how to inscribe any regular polygon in a given circle.

Pulley

Pair of circular pulleys connected b a cord, showing the range of motion as arcs

Pulley

Two arrangements of pulley: crossed belt and uncrossed belt. The pulleys are constructed with two circles…

Illustration of a cyclic quadrilateral, a quadrilateral inscribed in a circle. This can also be described…

Construction of Radii of a Circle

Illustration used to draw lines which are radii of a circle where the center is inaccessible.

Circle Inside Rectangle

Illustration of a circle inside of a rectangle. The two figures have the same center.

Rectifying Arc Using Dividers

"In ordinary work the usual way of rectifying an arc is to step around it with the dividers, in spaces…

Regular Heptagon/Septagon Circumscribed about a Circle

Illustration of a regular heptagon/septagon circumscribed about a circle. This can also be described…

Construction Of Regular Polygon

Illustration used to show how to draw a regular polygon when given a side of the polygon.

Illustration of ring (small circle in larger concentric circle).

Ring With Piece Cut Out

Illustration of ring (small circle in larger concentric circle) with piece cut out.

Ring Sprung Into Place

Illustration of ring (small circle in larger concentric circle) sprung into place.

Circular Rosette With 12 Petals

Circular rosette with 12 petals in a circle. It is made by rotating circles about a fixed point. The…

Circular Rosette With 12 Petals

Circular rosette with 12 petals. It is made by rotating circles about a fixed point. The radii of the…

Circular Rosette With 16 Petals

Circular rosette with 16 petals in a circle. It is made by rotating circles about a fixed point. The…

Circular Rosette With 16 Petals

Circular rosette with 16 petals in a circle. It is made by rotating circles about a fixed point. The…

Circular Rosette With 24 Petals

Circular rosette with 24 petals in a circle. It is made by rotating circles about a fixed point. The…

Circular Rosette With 24 Petals

Circular rosette with 24 petals. It is made by rotating circles about a fixed point. The radii of the…

Circular Rosette With 3 Petals

Circular rosette with 3 petals. It is made by rotating circles about a fixed point. The radii of the…

Circular Rosette With 32 Petals

Circular rosette with 32 petals in a circle. It is made by rotating circles about a fixed point. The…

Circular Rosette With 32 Petals

Circular rosette with 32 petals in a circle. It is made by rotating circles about a fixed point. The…

Circular Rosette With 4 Petals

Circular rosette with 6 petals in a circle. It is made by rotating circles about a fixed point. The…

Circular Rosette With 48 Petals

Circular rosette with 48 petals in a circle. It is made by rotating circles about a fixed point. The…

Circular Rosette With 6 Petals

Circular rosette with 6 petals in a circle. It is made by rotating circles about a fixed point. The…

Circular Rosette With 6 Petals

Circular rosette with 6 petals. It is made by rotating circles about a fixed point. The radii of the…

Circular Rosette With 8 Petals

Circular rosette with 8 petals in a circle. It is made by rotating circles about a fixed point. The…

Circular Rosette With 8 Petals

Circular rosette with 8 petals in a circle. It is made by rotating circles about a fixed point. The…

Circle Sector

An illustration showing a circle sector with radius r, center/central angle v, and length of circle…

Circle Sector

An illustration showing a circle sector with center/central angle v and polygon angle w.

Circle Sector

An illustration showing a circle sector with height of segment h and radius r.

Semicircle

Illustration of a semicircle.

Right Angles Inscribed in Semicircle Proof

Illustration of a circle used to prove "Any angle inscribed in a semicircle is a right angle."

Illustration of a semicircle with chords and radii.

Sphere With Arcs and Poles

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

Sphere With Arcs

A sphere with arcs drawn.

Arcs Drawn on Sphere

Illustration of a sphere with arcs drawn.

Circle Made by Plane Passing Through a Sphere

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

Circumference of a Circle of a Sphere

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

Sphere Inscribed in Tetrahedron

Illustration of a sphere inscribed in a tetrahedron.

Sphere Inscribed in Tetrahedron

Illustration of a sphere inscribed in a tetrahedron.

Sphere Made by Revolution of Semicircle

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

Material Sphere

Illustration of a material sphere that can be used to find its diameter.

Plane Passing Through a Sphere

Illustration of a plane passing through a sphere.

Sphere With Tangent Plane

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