An illustration showing how to find the center of a circle which will pass through three given points…
An illustration showing how to construct a square upon a given line. "With AB as radius and A and B…
An illustration showing how to construct a tangent to a circle through a given point in a circumference.…
An illustration showing how to construct a tangent to a circle through a given point outside of a circumference.…
An illustration showing how to construct a tangent circle to a circle with a given radius. "Through…
An illustration showing how to construct a tangent circle to 2 given circles. "Join centers C and c…
An illustration showing how to construct a tangent to 2 given circles of different diameters. "Join…
An illustration showing how to construct a tangent between 2 given circles. "Join the centers C and…
An illustration showing how to construct a circle tangent to a given line and given circle. "Add the…
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 two circles that tangent themselves and two given lines. "Draw…
An illustration showing how to construct a circle that tangents two given lines inclined to one another…
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 cyma, or two circle arcs that will tangent themselves, and…
An illustration showing how to construct a talon, or two circle arcs that will tangent themselves, and…
An illustration showing how to construct a circle arc without recourse to its center, but its chord…
An illustration showing how to construct a center and radius of a circle that will tangent the three…
An illustration showing how to construct an equilateral triangle inscribed in a circle. "With the radius…
An illustration showing how to construct a square inscribed in a circle. "Draw the diameter AB, and…
An illustration showing how to construct a square circumscribed about a circle. "Draw the diameters…
An illustration showing how to construct a pentagon inscribed in a circle. "Draw the diameter AB, and…
An illustration showing how to construct a pentagon on a given line. "From B erect BC perpendicular…
An illustration showing how to construct a pentagon on a given line without resort to its center. "From…
An illustration showing how to construct a hexagon in a given circle. "The radius of the circle is equal…
An illustration showing how to construct a heptagon, or septagon. "The appotem a in a hexagon is the…
An illustration showing how to construct an octagon on a given line. "Prolong AB to C. With B as center…
An illustration showing how to construct a regular octagon from a square by cutting off the corners…
An illustration showing that the area of a regular polygon is equal to the area of a triangle whose…
An illustration showing how to construct a regular polygon on a given line without resort to its center.…
An illustration showing how to construct an isometric ellipse by compass and six circle arcs. "Divide…
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…
An illustration showing how to construct a parabola by plotting. "Having given the axis, vertex, and…
An illustration showing how to construct a parabola using a pencil and a string. "Having given the two…
An illustration showing how to construct Shield's anti-friction curve. "R represents the radius of the…
An illustration showing how to use isometric perspective. "This kind of perspective admits of scale…
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…
An illustration showing how to construct an ellipse parallel to two parallel lines A and B. "Draw a…
An illustration showing how to construct a cycloid. "The circumference C=3.14D. Divide the rolling circle…
An illustration showing how to construct an evolute of a circle. "Given the pitch p, the angle v, and…
An illustration showing how to construct a spiral with compasses and four centers. "Given the pitch…
An illustration showing how to construct a parabola. "Given the vertex A, axis x, and a point P. Draw…
An illustration showing how to construct a parabola. "Given the axis of ordinate B, and vertex A. Take…
An illustration showing how to construct an arithmetic spiral. "Given the pitch p and angle v, divide…
An illustration showing a triangle with interior angles A, B, C, and exterior angles D, and A' + B'.
An illustration showing a quadrilateral model that illustrates the following relationships: a:b = c:d,…
An illustration showing a model that illustrates the following relationships: a:b = c:d, ad = bc. Product…
An illustration showing a model that illustrates the following relationships: a:b = c:b, ab = c²,…
An illustration showing a model that illustrates the following relationship: A:B = a:b.
An illustration showing a model that illustrates the following relationships: a:x = x:a - x, x = √(a²…
An illustration showing a model of a triangle that illustrates the following relationship: a:c = d:(b…
An illustration showing a model of a circle with intersecting chords that illustrates the following…
An illustration showing a model of a circle with an exterior angle formed between a tangent and a secant…
An illustration showing a model of a circle with angles formed between tangents and secants that illustrates…