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SputSoft's photostream |
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Variables for the Crossed Ladders Problem
Introducing the key lengths and vertices for the crossed ladders problem.
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Uploaded on Mar 20, 2011
The Crossed Ladders Problem
Evaluation of powers
Number of multiplications used to evaluate the nth power.
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Uploaded on Jan 29, 2011
The Stern-Brocot tree
The Stern-Brocot tree of fractions, which has several interesting properties: 1) Every positive, reduced...
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Uploaded on Jun 20, 2010
Addition formulas for sine and cosine
By simply considering similar triangles and the definition of sine and cosine, you can derive the...
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Uploaded on Jun 20, 2010
Visual proof of a geometric progression sum
We are interested in the sum 1+r+r^2+..., which is equal to the length of AC. Since ABC is similar to...
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Uploaded on Jun 20, 2010
Signed multiplication by geometry
If line segment AB has unit length, AD has length |x|, AC has length |y|, and BC and DE are parallel,...
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Uploaded on Apr 24, 2010
Three similar triangles related to a semicircle
If AC is the diameter in a semicircle, B is on the perimeter of the circle, and BD is perpendicular to...
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Uploaded on Apr 18, 2010
Multiplication by geometry
If the line segment AB has unit length, AD has length x, AC has length y, and BC and DE are parallel,...
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Uploaded on Apr 18, 2010
Any triangle inscribed in a semicircle has a right angle
Let AC be the diameter of a semicircle and M the center. Then ABM and BCM are isosceles triangles. The...
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Uploaded on Apr 18, 2010
Square root by geometry
Let CD have length x and extend this line to a point A such that DA is equal to unity. Let now AC be the...
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Uploaded on Apr 18, 2010
Line-line intersection
Where do two lines in the plane intersect? See the Sputsoft blog for more information.
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Uploaded on Mar 14, 2010
Ford circles 3
Ford circles 2
Ford circles 1
Pytharogas proof 2
Proof of the Pythagorean Theorem. See the Sputsoft blog for more information.
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Uploaded on Feb 12, 2010
Pytharogas proof 3
Proof of the Pythagorean Theorem. See the Sputsoft blog for more information.
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Uploaded on Feb 12, 2010
Pytharogas proof 1
Proof of the Pythagorean Theorem. See the Sputsoft blog for more information.
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Uploaded on Feb 12, 2010
