# Search Results for “circle”

##### Circle of Curvature
Otherwise known as Osculating Circle.

Tags:

##### Spline Approximation
Spline approximation to a quarter unit circle.  Can you find the best value for parameter a?

Tags: spline, circle

By Duncan
##### And the envelope please...
What is the phantom curve you see when you look at a set of lines, perpendicular to a set of chords through a common point in a circle?

Tags: envelope, circle, ellipse, hyperbola

##### N-Gon Approximating a Circle
This n-gon (regular polygon of n sides) has a variable number of sides. Changing the value for n demonstrates very visually how regular polygons of increasing numbers of sides, with the same radius, have a shape that increasingly approaches that of a circle.

Tags: N-gons, circles

##### trapezoid field
How big a circle can you fit into this piece of field? The next release of Geometry Expression will support export of pictures in HTML5 apps!!

Tags: central-pivot-irrigation, trapezoid, circle

##### Cyclic Quadrilateral Theorem
The Cyclic Quadrilateral Theorem states that for a quadrilateral inscribed in a circle, the measures of opposite angles must add to 180 degrees. Drag the points and observe the angle measures to see how this theorem holds true.

Tags: Quadrilateral, Circle, Cyclic-Quadrilateral, Theorem, Proof, Draggable

##### Ellipse as locus of circle center
Take two overlapping circles.  Examine the locus of the center of the circles tangential to both. It seems to be an ellipse with foci at the centers of the two circles. Prove it.

Tags: ellipse, conic, focus

##### Circle Proof
This is the first app ever on Euclid’s Muse! It provides a draggable diagram to help illustrate a mathematical proof. This proof was discovered when modeling the Twisted Savonius style wind turbine from a top view. The full proof can be found here.

Tags: Proof, circles, draggable, real-world, savonius

By Duncan
##### Similar Triangle Incenter
This problem showed up in a math competition. See what you can make of it.

Tags: incenter, circle, similar-triangles

##### Coffee Cup Caustic
You can move the light source and observe the changes in the reflected rays which form the caustic.

Tags: caustic, envelope, reflection, circle