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

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…

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

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…

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

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…

An illustration showing how to construct a cycloid. "The circumference C=3.14D. Divide the rolling circle…

An illustration showing how to construct a cyma, or two circle arcs that will tangent themselves, and…

Illustration used to show how to divide a line into any number of equal parts by construction.

Illustration used to show how to divide a given straight line into required number of equal parts.

Illustration used to show how to divide a given straight line into required number of equal parts.

Pattern that can be cut out and folded to construct a regular dodecahedron. Fold on the dotted lines,…

Illustration used to draw a an ellipse using string and pins by describing a circles with diameters…

An illustration showing how to construct an ellipse parallel to two parallel lines A and B. "Draw a…

Illustration of half of an ellipse and its auxiliary circle used to construct an ellipse by points,…

An illustration showing how to construct an ellipse. "With a as a center, draw two concentric circles…

An illustration showing how to construct an ellipse using a string. "Having given the two axes, set…

An illustration showing how to construct an ellipse using circle arcs. "Divide the long axis into three…

An illustration showing how to construct an ellipse using circle arcs. "Given the two axes, set off…

An illustration showing how to construct an ellipse. Given the two axes, set off half the long axis…

Illustration used to draw a an ellipse with major axis AB and minor axis CD.

Diagram showing how to construct an ellipse when given the two foci and the length of the major axis…

An illustration showing the construction used to erect an equal angle. "With D as a center, draw the…

An illustration showing how to construct an equilateral triangle inscribed in a circle. "With the radius…

Illustration used to show how to draw an equilateral triangle when given one side.

Illustration used to show how to draw an equilateral triangle when given the altitude.

An illustration showing how to construct an evolute of a circle. "Given the pitch p, the angle v, and…

Illustration used to show how to draw a helix when the pitch and the diameter are given.

An illustration showing how to construct a heptagon, or septagon. "The appotem a in a hexagon is the…

An illustration showing how to construct a hexagon in a given circle. "The radius of the circle is equal…

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

Pattern that can be cut out and folded to construct a regular hexahedron. Fold on the dotted lines,…

An illustration showing how to construct a hyperbola by plotting. "Having given the transverse axis…

An illustration showing how to construct a hyperbola by a pencil and a string. "Having given the transverse…

Diagram showing how to construct a hyperbola when given the two foci and the length of the major axis…

Pattern that can be cut out and folded to construct a regular icosahedron. Fold on the dotted lines,…

An illustration showing how to construct an isometric ellipse by compass and six circle arcs. "Divide…

An illustration showing how to use isometric perspective. "This kind of perspective admits of scale…

Illustration of the construction used to create an isosceles triangle, given the bases and the sum of…