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Geometry Construction Set

With this playground you can verify some fundamental geometric theorems :

  • Demo 2: In a triangle the three medians intersect at the same point, the center of gravity.

  • Demo 3: In a triangle the three heights intersect at the same point, the orthocenter.

  • Demo 4: In a triangle the three bisectors intersect at the same point, the center of the inscribed circle.

  • Demo 5: The three circles intersect at the same point, the Miquel point.

  • Demo 6: In a triangle, the three mediators intersect at the same point, the center of the circumscribed circle.

  • Demo 7: The middle sides of any quadrilateral form the Varignon parallelogram.

  • Demo 8: Construction of a pentagon inscribed in a circle:

demo08

  • Demo 9: In a triangle, the triangle formed by the midpoints of the sides has its sides parallel to the original triangle.

  • Demo 10: The intersections of the four circles are cocyclical.

  • Demo 11: The medians of the triangle (green) are the bisectors of the triangle (red) joining the middle of the sides.

  • Demo 12: The perpendiculars to the sides of a quadrilateral passing through the middle of the opposite side intersect at the same point.

  • Demo 15: Napoleon's theorem.

  • Demo 16 : Desargues's theorem.

  • Demo 17 : Pappus's theorem.

demo17

  • Demo 18 : Locus of points equidistant from point and circle

demo18

  • Demo 19 : Ornemental construction

  • Demo 20 : Area comparison

  • Demo 21 : Locus of the middle of a ladder sliding to the ground

demo21

USAGE

  • Clone or download the directory .

  • Open geom.html in your browser.

  • Build your own problem, or drop one of the json files to the workspace.

  • A construction always starts with some points. From these you can build other objects : segments, lines, circles, etc.

  • To add an element to the problem, click on the corresponding icon in the toolbox, then follow the instructions in the bottom status line.

  • A free point is represented by a circle. It can be moved with the mouse.

  • A constructed point is represented by a disk. It cannot be moved by itself.

  • A constrained point is represented by a square. It can be moved along its path.

  • To select an element, click on its name in the list. It will be displayed hilited.

  • To unselect an element, click again on its name.

  • To change the color of an element, click on its colored square and choose another color in the palette.

  • To scroll the list, use the up and down keys from the keyboard.

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