Geometry Constructions

Geometry Constructions

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Clipart 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.

Angle Bisector, Construction Of
Illustration showing how to construct the bisector of an angle....

Angle On Straight Line, Construction Of
Illustration used to show how to "draw a straight line through any given point on a given straight line to make any required angle with that line."...

Angle, Bisect An
Illustration used to show how to construct a bisector of an angle when the sides intersect within the limits of the drawing....

Angle, Bisect An
Illustration used to show how to construct a bisector of an angle when the sides no not intersect within the limits of the drawing....

Angle, construction of
Illustration of construction to lay off an angle....

Angle, Construction Of A Divided
An illustration showing the construction used to divide an angle into two equal parts. "With C as a center, draw the dotted arc DE; with D and E as centers, draw the cross arcs at F with equal radii....

Angle, Construction Of A Divided
An illustration showing the construction used to divide an angle into two equal parts when the lines do not extend to a meeting point. "Draw the lined CD and CE parallel, and at equal distances from ...

Approximate Ellipse using Lines
"When the minor axis is at least two-thirds the major, the following method ma be used: Make CF and CG equal to AB-DE. Make CH and CI equal to 3/4 CF F, G, H, I will be centers for arcs E, D, B, and A...

Approximate Ellipse with Five Centered Arc
"This (five centered arc) method is based on the principle that the radius of curvature at the end of the minor axis is the third proportional to the semi-minor and semi-major axes, and similarly at t...

Approximate Ellipse with Four Centers
"Join A and D. Lay off DF equal to AC-DC. Bisect AF by a perpendicular crossing AC at G and intersecting DE produced at H. Make CG' equal to CG and CH' equal to CH. Then G, G', H, and H' will be cente...

Approximating Length of Circle Arc using Straight Line
"At A draw the tangent AD and Chord AB produced. Lay off AC equal to half the chord AB. With center C and radius CB draw an arc intersecting AB at E, then AE will be equal in length be to the arc AB."...

Arc of Given Radius R Tangent to Two Given Lines, Draw
"Draw lines parallel to AB and CD at distant R from them. The intersection of these lines will be center of the required arc." —French, 1911...

Arc, Bisecting an
Illustration used to show how to bisect a given arc....

Arc, Construction Of
Illustration used to show how to "find an arc of a circle having a known radius, which shall be equal in length to a given straight line."...

Archimedes, Draw Spiral of
"Divide the circumference into a number of equal parts, drawing the radii and numbering the points. Divide the radius No. 1 into the same number of equal parts, numbering from the center. With C as ce...

Bisect A Line
Method to draw the bisector of a line...

Bisect An Angle
Method to bisect an angle...

Center And Radius Of A Circle That Will Tangent A Given Circle And Line, Construction Of
An illustration showing how to construct the center and radius of a circle that will tangent a given circle and line. "Through the given point C, draw the line EF at right angles to AB; set off from C...

Center And Radius Of A Circle That Will Tangent A Given Circle And Line, Construction Of
An illustration showing how to construct the center and radius of a circle that will tangent a given circle and line. "From C, erect the perpendicular CG; set off the given radius r from C to H. With...

Center And Radius Of A Circle That Will Tangent A Given Circle, Construction Of
An illustration showing how to construct the center and radius of a circle that will tangent a given circle. "Through the given point C, draw the tangent GF; bisect the angle FGE; then o is the center...

Center And Radius of Circle Tangent To Triangle Sides, Construction Of
An illustration showing how to construct a center and radius of a circle that will tangent the three sides of a triangle. "Bisect two of the angles in the triangle, and the crossing C is the center ...

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

Circle Arc, Construction Of
An illustration showing how to construct a circle arc without recourse to its center, but its chord AB and height h being given. "With the chord as radius, and A and B as centers, draw the dotted cir...

Circle Given 3 Points, Construction of
Illustration used to construct a circle when given three points....

Circle Tangent To A Line and A Circle, Construction Of
An illustration showing how to construct a circle tangent to a given line and given circle. "Add the given radius r to the radius R of the circle, and draw the arc cd. Draw the line ce parallel with ...

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Clipart ETC is a part of the Educational Technology Clearinghouse and is funded by various grants. Produced by the Florida Center for Instructional Technology, College of Education, University of South Florida. Email the project manager.

	Angle Bisector, Construction Of Illustration showing how to construct the bisector of an angle....
	Angle On Straight Line, Construction Of Illustration used to show how to "draw a straight line through any given point on a given straight line to make any required angle with that line."...
	Angle, Bisect An Illustration used to show how to construct a bisector of an angle when the sides intersect within the limits of the drawing....
	Angle, Bisect An Illustration used to show how to construct a bisector of an angle when the sides no not intersect within the limits of the drawing....
	Angle, construction of Illustration of construction to lay off an angle....
	Angle, Construction Of A Divided An illustration showing the construction used to divide an angle into two equal parts. "With C as a center, draw the dotted arc DE; with D and E as centers, draw the cross arcs at F with equal radii....
	Angle, Construction Of A Divided An illustration showing the construction used to divide an angle into two equal parts when the lines do not extend to a meeting point. "Draw the lined CD and CE parallel, and at equal distances from ...
	Approximate Ellipse using Lines "When the minor axis is at least two-thirds the major, the following method ma be used: Make CF and CG equal to AB-DE. Make CH and CI equal to 3/4 CF F, G, H, I will be centers for arcs E, D, B, and A...
	Approximate Ellipse with Five Centered Arc "This (five centered arc) method is based on the principle that the radius of curvature at the end of the minor axis is the third proportional to the semi-minor and semi-major axes, and similarly at t...
	Approximate Ellipse with Four Centers "Join A and D. Lay off DF equal to AC-DC. Bisect AF by a perpendicular crossing AC at G and intersecting DE produced at H. Make CG' equal to CG and CH' equal to CH. Then G, G', H, and H' will be cente...
	Approximating Length of Circle Arc using Straight Line "At A draw the tangent AD and Chord AB produced. Lay off AC equal to half the chord AB. With center C and radius CB draw an arc intersecting AB at E, then AE will be equal in length be to the arc AB."...
	Arc of Given Radius R Tangent to Two Given Lines, Draw "Draw lines parallel to AB and CD at distant R from them. The intersection of these lines will be center of the required arc." —French, 1911...
	Arc, Bisecting an Illustration used to show how to bisect a given arc....
	Arc, Construction Of Illustration used to show how to "find an arc of a circle having a known radius, which shall be equal in length to a given straight line."...
	Archimedes, Draw Spiral of "Divide the circumference into a number of equal parts, drawing the radii and numbering the points. Divide the radius No. 1 into the same number of equal parts, numbering from the center. With C as ce...
	Bisect A Line Method to draw the bisector of a line...
	Bisect An Angle Method to bisect an angle...
	Center And Radius Of A Circle That Will Tangent A Given Circle And Line, Construction Of An illustration showing how to construct the center and radius of a circle that will tangent a given circle and line. "Through the given point C, draw the line EF at right angles to AB; set off from C...
	Center And Radius Of A Circle That Will Tangent A Given Circle And Line, Construction Of An illustration showing how to construct the center and radius of a circle that will tangent a given circle and line. "From C, erect the perpendicular CG; set off the given radius r from C to H. With...
	Center And Radius Of A Circle That Will Tangent A Given Circle, Construction Of An illustration showing how to construct the center and radius of a circle that will tangent a given circle. "Through the given point C, draw the tangent GF; bisect the angle FGE; then o is the center...
	Center And Radius of Circle Tangent To Triangle Sides, Construction Of An illustration showing how to construct a center and radius of a circle that will tangent the three sides of a triangle. "Bisect two of the angles in the triangle, and the crossing C is the center ...
	Center, Construction Of Illustration used to show how to find the center when given an arc and its radius....
	Circle Arc, Construction Of An illustration showing how to construct a circle arc without recourse to its center, but its chord AB and height h being given. "With the chord as radius, and A and B as centers, draw the dotted cir...
	Circle Given 3 Points, Construction of Illustration used to construct a circle when given three points....
	Circle Tangent To A Line and A Circle, Construction Of An illustration showing how to construct a circle tangent to a given line and given circle. "Add the given radius r to the radius R of the circle, and draw the arc cd. Draw the line ce parallel with ...