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Theorems and Proofs |
Record 1 to 14 of 14 |
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Circle Diameters
If every diameter is perpendicular to its conjugate, the conic is a circle.... |
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Circular Involution
Every elliptical involution has the property that there are two definite points in the plane from which any two conjugate points are seen under a right angle.... |
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Cross-Ratio Four Points
The cross-ratio of four points in a line is equal to the cross-ratio of their projections on any other line which lies in the same plane with it.... |
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Dedekind Property 1
Illustration 1 of the Dedekind axiom.... |
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Dedekind Property 2
Illustration 2 of the Dedekind axiom.... |
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Dedekind Property 3
Illustration 3 of the Dedekind axiom.... |
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Dedekind Property 4
Illustration 4 of the Dedekind axiom.... |
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Euclid's Pythagorean Theorem Proof
Illustration used to prove the Pythagorean Theorem, according to Euclid. A perpendicular is drawn from the top vertex of the right triangle extended through the bottom square, forming 2 rectangles. ... |
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Geometric Pythagorean Theorem Proof
Illustration that can be used to prove the Pythagorean Theorem, the sum of the squares of the legs is equal to the square of the hypotenuse.... |
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Geometric Pythagorean Theorem Proof
Illustration that can be used to prove the Pythagorean Theorem, the sum of the squares of the legs is equal to the square of the hypotenuse. The geometrical illustration depicts a 3,4,5 right triangl... |
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Involution
The three points in which any line cuts the sides of a triangle and the projections, from any point in the plane, of the vertices of the triangle on to the same line are six points in involution.... |
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Plane Curve
A line moves in a plane and it therefore envelopes a plane curve.... |
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Pythagorean Theorem Proof by Rearrangement
A visual illustration used to prove the Pythagorean Theorem by rearrangement. When the 4 identical triangles are removed, the areas are equal. Thus, proving the sum of the squares of the legs is equ... |
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Second Order Curve Tangents
Any four-point on a curve of the second order and the four-side formed by the tangents at these points stand in this relation that the diagonal points of the four-point lie in the diagonals of the fou... |
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Clipart ETC is a part of the Educational Technology Clearinghouse and is funded by a grant from the Florida Department of Education, Office of Educational Technology. Produced by the Florida Center for Instructional Technology, College of Education, University of South Florida. Last update: 03/26/2007. Email the project manager.