Search Results for “drag”
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.
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.
Spin the Chrome Icon!
This close replica of the logo/icon for Google Chrome, the world's most popular web browser, is built off of a geometric reconstruction of the logo's shape, allowing the logo to "spin" as you drag a point around its edge.
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.
Kaleidoscope
A kaleidoscope is typically made with mirrors aligned as an equilateral triangle and rotated. Multiple reflections form a symmetrical pattern which changes as the triangle is rotated. Drag the corners of the four original triangles to change the pattern, then drag the red dot to rotate the kaleidoscope.
Simpson Line
Point E lies on the circumcircle of triangle ABC. The projections of E onto the sides of the triangle are colinear. The envelope of such lines forms a deltoid curve. Try dragging E round the circle. Try dragging A B and C. Note that the envelope curve appears to remain equilateral.
Example: Drawing an Ellipse
From "Creating HTML5 Apps with Geometry Expressions." Download the GX file to see how this app was made.
Example: Pictures
From "Creating HTML5 Apps with Geometry Expressions." Download the GX file to see how this app was made.
