| infinitesimal congruence -
12-20-2005, 12:17 PM
Given an arbitrary triangle ∆ABC, the inscribed circle is constructible by 3 angle bisectors. The circumscribed circle is constructible by 3 perpendicular bisectors of the 3 sides. However, if the triangle is equilateral then both circles share a common center and the radii are in the ratio of 2 to 1. This is the minimum ratio. For all other triangles, the ratios are greater than 2. And the centers are separated by a minimum length. In nature, the ratio of ˝ occurs often as in the virial theorem of kinetic energy and potential energy, in the zero-point energy of ˝hω0. This ratio also appears in the hexagonal symmetry of snowflakes. At this minimum ratio, a minimum length exist known as the infinitesimal congruence of spacetime points. This minimum length is the Planck length of 1/10 meter.
Time independence: [∂E(g)]˛=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c˛
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Linear Mode
