[AntonioLao]

Pythagoras (circa 572-497 BC) with 571 men and 28 women founded the school of Pythagoreans at the city of Croton in modern day southern Italy. Their mission impossible is to search the elusive mathematical truth. They were all sworn to secrecy but one of those who leaked secrets was punished, death by drowning. The remaining secrets were lost forever.

One of these secrets, no doubt is the Pythagorean Theorem a² +b²=c² and it appeared in Euclid’s Elements about 2 hundreds years later as Proposition 47 of Book I. It also appeared in Chinese engraving around 200 BC. In 1637 it took the form as Fermat’s Last Theorem. Although Pierre de Fermat claimed he had a proof, it was never published. So again, the secret of an elegant mathematical truth was safely buried in Fermat’s grave while its ghost roams the corridors of mathematical study halls. During the intervening years between 1637 and 1995, the same theorem disguised as the space-time interval of Einstein’s special relativity and Dirac’s equation of the electron and the relativistic energy formulation E²=p²c²+m²c. Then in 1995 Andrew Wiles finally laid to rest the ghost of Fermat’s last Theorem.

Another example of a more subtle mathematical truth is the equivalence class of Pythagorean ratios: ⅓ and ⅔. These were used in the composition of musical notes and harmony as ratios of inverse wavelengths: 24:27:30:32:36:40:45:48. These could have been used by others to conjure beings from other dimensions or in prayers communicating with higher ranked supernatural beings. In physics, these equivalence classes signify the electric charge states of the quarks. In TQS, these represent the fundamental lengths for tapping energy from the true vacuum for possible controlled thermonuclear fusion.

[Guille]

Another thing with the pythagorean ratios is that they lead to an important number in probability: IQR. For they sum to 3/ which is the half obtained by 3/4-1/4. And one thing would be interesting to note is that (1/3)^2+(2/3)^2=0.55555... period. The square root of this is: 0.745355992... An irrational number. Pythagoreans neglected irrational numbers and when a mathematician proved that the square root of 2 was irrational, they burned him to them. What could this mean? Will there ever be a fall of what I believe is the magnum opus of all mathematics, which is the pythagorean theorem?

[AntonioLao]

Originally Posted by GUILLE Will there ever be a fall of what I believe is the magnum opus of all mathematics, which is the pythagorean theorem?

Unless the distance is equal zero. The Pythagorean Theorem is really a geometric definition for the existence of length and distance. I couldn't think of any equivalent theorem for the existence of time?

[Guille]

Originally Posted by AntonioLao Unless the distance is equal zero. The Pythagorean Theorem is really a geometric definition for the existence of length and distance. I couldn't think of any equivalent theorem for the existence of time?

space existence sqaured times time squared is equal to the sqaure of the time of time. And as the time of time is the sqaure of time, then the square of space is equal always to the square of time.

[mkirkpatrick]

I thinkthatyou may have hit on something of great importance here Antonio,
if we can only grasp and unravel the hidden syphers! there is mention of
Pythagoreans,in many occult sciences,and of course the free-masons are
very much into their Angles?Or is it angels!

kind regards michael.

[AntonioLao]

Pythagorean theorem seems exclusively for Euclidean geometry. In hyperbolic and spherical geometry, the theorem takes on a different meaning, instead of plus, the minus operator is used.