Euclid's Muse

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Search Results for “morph-circle-into-line”

By Andrew Zhao
Euclids Elements - Book 3 - Proposition 14
Creating a tangent on a circle given point A that is outside the circle.

Tags: Euclid, Elements, Geometry, Circle, Tangent

By Phil Todd
Circle of Curvature
Otherwise known as Osculating Circle.

Tags:

By admin
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

By Nick Halsey
Two Circle Trace
This trace follows the position of one circle as it moves along the path of the edge of another.

Tags: Circles, Traces

By Nick Halsey
Chord Angle Theorem
The chord angle theorem states that in an inscribed triangle (ABC) where A is the center of the circle and BC is a chord, and BDC is an inscribed triangle on the same chord, angle BDC must equal one half of angle BAC. Try changing the angle and moving point D and observe the theorem’s truth. Note: the measure of angle BDC is being constantly recalculated as point D is dragged, but it doesn't change because of this theorem.

Tags: Chord, Angle, Theorem, Circle, Draggable, Proof

By Phil Todd
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

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

By Nick Halsey
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

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

Tags: spline, circle

By Duncan
Hypocycloid
Rolling a smaller circle inside a larger one draws a hypocycloid

Tags: Cycloid, curve, circle


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