| trisecting constructibly
In general, it is not possible to trisect an angle? Trisecting a 90° angle is trivial. However, by the use of straight edges that are without any calibrations and by the use of compasses, it is still impossible to construct 1/3 and 2/3 of a given arbitrary angle. A simple proof for an angle of 20° was demonstrated by Benjamin Bold in his book ‘Famous problems of Geometry and How to Solve them’, 1969.
Again the implication is fundamental that 1/3 and 2/3 ratio and proportions hide a subtly beautiful mathematical truth of which its physical utility is still waiting for a practical application such as cold fusion by way of Casimir plate separations.
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Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
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