Euclid was Wrong about the Circle

A 20 sided polygon

Anthony J. Fejfar's notes re a Circle and a Wheel and the Patent

and Copyright for both a Circle and a Wheel by Anthony J. Fejfar,

and Anthony J. Faber, and Neothomism, P.C.,(PA)

The Ancient Greek Mathematician and Philosopher, Euclid, assserted as an assumed postulate, that the interior Angle a Circle is 360 degrees. In fact, Euclid was wrong. The interior Angle of a Circle is 3,600 degrees. The Calculus Math equation for a Circle is x squared plus y squared equal 1. Working inductively, I took a 20 sided polygon, which was placed in a Circle, (See above), and then used the proven postulate that the number of angles in a polygon is the same number as the number of sides. Thus, I then took 20 angles times 179 degrees per angle, which I had previously measured using a protractor, and calculated the sum number of degrees within the Circle, using the 20 sided polygon, to be 3,580 degrees. I then reasonbly estimated that the number of degrees in the interior of a Circle is 3,600 degrees, which would result when a polygon which has one or two more sides is used. For a perfect Circle, however, each angle would be 180 degrees, and the length of the angle would be that of a point. Thus, the real equation for a circle is x squared plus y squared = 1, where the length of each angle in the circle is that of a point, such that a point has the same angle as a straight line, that is, 180 degrees. Additionally, a wheel which is patterned after a Circle also has an interior angle of 3,600 degrees.

(C)Perpetual Copyright and Patent (2011) by Anthony J. Fejfar and Anthony J. Faber and Neothomism, P.C. (PA)