Hi folks, I am new to this list and very new to geometry. I am a philosophy student at the University of Memphis. At the present I am reading Edmund Husserl's...
OK, I will be the first to admit that I'm totally feeling lost right now in my Calculus class. Integrands have begun to haunt my dreams. That aside, I've...
My compilation, "The Triangle: A One-Page Primer" is available at http://www.CJFearnley.com/triangle.primer.pdf Please let me know of any corrections and...
Hi... im doing a math project for my geometry class. My subject is about pi and its approximations. We have to write our own chapter to extend to the geometry...
Hi, You could start with an experiment to discover the value of Pi yourselves by taking everyday circular objects, plates, cans, etc, measuring their diameters...
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Hello Geometers. I have constructed a Phi-based triangle and I have written a geometric proof which demonstrates that the triangle contains an angle that is ...
The trigonometric laws, Law of Sines and Law of Cosines, will demonstrate that your theorem is a sham. I used a value of PHI=4, then (PHI)^(1/2)=2, and the...
Dear Mr. Adkins: You have asserted that the value of Phi is equal to 4. That is not correct. The formula for calculating Phi is "the square root of 5, plus...
Dear Mr. Beach, If I read your diagram correctly, (regarding PHI as the unknown), the base of the triangle is PHI, the right leg is SQRT(PHI), and the other...
Carl: An astronomer named Mario Livio wrote a book titled The Golden Ratio: The Story of Phi, the World's Most Astonishing Number. I highly recommend that...
Thanks for the information. I have heard of the golden ratio but never heard anything about PHI's being a constant, given that several texts treat it as a...
To say the least, it is extremely difficult to work with PHI, SQRT(PHI), and Recip(SQRT(PHI)), so I approximated everything with MathCAD to 3 decimals. The...
Admittedly, this is an after-thought, but why would you need to prove that one angle is twice the size of another? As I demonstrated, direct calculation bears...
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Definition: A trisosceles trapezoid is a convex quadrilateral. It has two parallel sides that are not equal in length and two other sides that are the same...
Exactly what is a saccheri quadrilateral? I can't find anyone who has heard of them. ... From: mcyberliver To: geometry@yahoogroups.com Sent: Saturday, July...
Saccheri was trying to prove the parallel postulate using his quadrilaterals. It turned out that he could NOT prove that the fourth angle was a right angle...
An isosceles trapezoid is a convex quadrilateral that has one pair of opposite sides that have equal lengths and a second pair of opposite sides that are...
A Hindu mathematician of the seventh century, named Brahmagupta, discovered a formula for the area of a quadrilateral whose vertices lie on a circle. It is ...
... wrote: A bricklayer has eight bricks. Seven of the bricks weigh the same amount and one is a little heavier than the others. If the bricklayer has a...
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