Here’s a very quick way to generate the square root of N. Let A0=N. Then generate a sequence of numbers A1, A2,...
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Chords of a Unit Circle
Take N equidistant points on the unit circle. Pick one of those points, then draw chords from it to all...
Continue reading...Euler’s Formula
The five most important numbers in mathematics all appear in a single equation!ei*Pi + 1 = 0.In fact, this is a...
Continue reading...Derivative Paradox
Here’s a fun (but untrue) fact. You know from calculus that the derivative of x2 is 2x. But what’s wrong with the following...
Continue reading...Area of an Ellipse
You know the formula for the area of a circle of radius R. It is Pi * R2. But what...
Continue reading...Spherical Bands
Take any sphere and slice it up by parallel knives 1 inch apart. The areas of the spherical bands between the cuts...
Continue reading...Zero to the Zero Power
It is commonly taught that any number to the zero power is 1, and zero to any power is 0....
Continue reading...Holey Beads
Take a bead 5 inches high, and bore a hole through it from north pole to south pole in such...
Continue reading...Right Double Cone
Take a solid cylinder of radius R and height 2R. Remove the right “double cone” which passes through the center...
Continue reading...Wallis’ Formula
Here’s a fun formula for Pi involving an infinite product, known as Wallis’ Formula: (Pi/2) = (2*2)(4*4)(6*6)/(1*3)(3*5)(5*7) It is somewhat surprising that...
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