Search Results for “construction”
Nicomedes Construction for Cube Root
Nicomedes Conchoid is a curve generated by a device involving two sliding joints. It can be used in this construction for two mean proportionals (which is Greek for finding a cube root). See if you can use it to extract cube roots of rational numbers.
Circumcircle Construction
Press the Construct button to see how to construct the circumcircle of triangle ABC. You can drag the vertices of the triangle.
Alternate Hyperbola Construction
This app allows you to experiment with an alternate construction of a hyperbola. The tracing of the perpendicular bisector of the segment between a point on a circle and a point outside the circle create a hyperbolic locus. (G-GPE 3)
Alternate Ellipse Construction
This app allows you to experiment with an alternate construction of an ellipse. The tracing of the perpendicular bisector of the segment between a point on a circle and a point in the circle create an elliptical locus. (G-GPE 3)
Equilateral triangle construction
How Euclid constructs an equilateral triangle, using just a set of compasses.
Golden Section Construction
An illustration of Euclid's proof of how to construct a golden section, from Book 2, Proposition 11 of Euclid's Elements.
Approximation of a Parabola
The construction is simple: two line segments are each divided uniformly into an equal number of segments. Index the top from left to right, and the bottom from right to left, then connect corresponding points.
Proposition 3
Given two unequal straight lines, to cut off from the greater a straight line equal to the less.
