This mathematics ClipArt gallery offers 213 illustrations of common geometric constructions. Geometric constructions are made with only the use of a compass and a straight edge. In addition to the constructions of different types of polygons, images include those used to show how to bisect a line, angle, and arc.

Illustration used to show how to "draw a straight line through any given point on a given straight line…

Illustration used to show how to construct a bisector of an angle when the sides intersect within the…

Illustration used to show how to construct a bisector of an angle when the sides no not intersect within…

An illustration showing the construction used to divide an angle into two equal parts. "With C as a…

An illustration showing the construction used to divide an angle into two equal parts when the lines…

"When the minor axis is at least two-thirds the major, the following method ma be used: Make CF and…

"This (five centered arc) method is based on the principle that the radius of curvature at the end of…

"Join A and D. Lay off DF equal to AC-DC. Bisect AF by a perpendicular crossing AC at G and intersecting…

"At A draw the tangent AD and Chord AB produced. Lay off AC equal to half the chord AB. With center…

"Draw lines parallel to AB and CD at distant R from them. The intersection of these lines will be center…

Illustration used to show how to "find an arc of a circle having a known radius, which shall be equal…

"Divide the circumference into a number of equal parts, drawing the radii and numbering the points.…

An illustration showing how to construct the center and radius of a circle that will tangent a given…

An illustration showing how to construct the center and radius of a circle that will tangent a given…

An illustration showing how to construct the center and radius of a circle that will tangent a given…

An illustration showing how to construct a center and radius of a circle that will tangent the three…

Illustration used to show how to find the center when given an arc and its radius.

An illustration showing how to construct a circle arc without recourse to its center, but its chord…

Illustration used to construct a circle when given three points.

An illustration showing how to construct a circle tangent to a given line and given circle. "Add the…

An illustration showing how to construct a circle that tangents two given lines and goes through a given…

An illustration showing how to construct a circle that tangents two given lines inclined to one another…

An illustration showing how to find the center of a circle which will pass through three given points…

"A circle may be conceived as a polygon of an infinite number of sides. Thus to draw the involute of…

The illustration of constructing a circle or ellipse using isometric drawing. The inscribed circle is…

"Join AB and BC, bisect AB and BC by perpendiculars. Their intersection will be the center of the required…

Illustration used to show how to pass a circumference through any three points not in the same straight…

"On horizontal center line mark off eight points 3/8" apart, beginning at right side of space." —French,…

"On horizontal center line mark off eleven points 1/4" apart, beginning at left side of space. Draw…

"Draw Horizontal line throuch center of space. On it mark off radii for six concentric circles 1/4"…

Development and top completion exercise problem of the cone by dividing the base into equal parts and…

An exercise problem to complete the top and develop, stretched out, image of the flange and hood cones…

The cone is sliced by a circle in a plane perpendicular to the axis. This can be drawn without knowledge…

The cone is sliced by a ellipse by making an angle within the plane. This can be drawn with knowing…

The cone is sliced by a hyperbola within a plane. The angle of the hyperbola will make a smaller angle…

Diagram showing how to construct a conic when given the focus and the auxiliary circle. If the focus…

Diagram showing how to construct a conic when given the focus and the auxiliary circle. The focus is…

Diagram showing how to construct a conic when given the focus and the auxiliary circle. As the focus…

A parabola can be constructed by using the parallelogram method of ellipses. —French, 1911

An ellipsograph uses the trammel method to create ellipses.

Create diameters with major, minor axes, or a pair of conjugate diameters. Construct a parallelogram,…

An ellipse can be constructed by pinning three pins and tying an inelastic in tightly around the pins.

Trammel method is a construction of an ellipse using a strip of paper, thin cardboard or sheet celluloid.

Illustration of the construction used to bisect a given angle.

Illustration of the construction used to bisect a given line.

Illustration used to construct a circle when given two points that it passes through and a radius.

Illustration of a triangle with its incircle and three excircles constructed.

Illustration of the construction used to circumscribe a circle about a given triangle.

Illustration used to construct a common tangent when given two circles.

A line which is divided into seven equal parts, shown by construction.