Forming the square which on it has on one side the elements Sulfur, Mercury and Salt, on the perpendicular side it has the elements earth, air, water and fire. Last but not least to for a triangle in for of a square and obeying the principles of the Euclid 47th Proposition, it has number 5 which presents the different levels of consciousness starting with level of consciousness of minerals, plants, animals, humans and deity, can you elaborate extensively on the esoteric principle of it?

The 47th Proposition of Euclid symbolizes universal truth, order, and the mathematical harmony of creation 2. In Masonic instruction, the right-angled triangle composed of sides measuring three, four, and five units draws upon an ancient tradition associating these sides with Osiris, Isis, and Horus—representing two producers and their product 1. Within this symbolic framework, the square typifies the material world and passive matter, whereas the triangle represents active force or Deity 1.

Geometrically, the proposition demonstrates that the square erected on the hypotenuse equals the sum of the squares erected on the remaining two sides 2. Because it provides the foundation for determining unknown values from known factors, it serves as the cornerstone of geometry, navigation, surveying, and astronomy 2. The emblem teaches Masons to contemplate the universe through the lens of mathematical law and to recognize in it the power, wisdom, and goodness of the Great Architect 2.

The supplied sources do not contain interpretations linking the square or the 47th Proposition to the alchemical triad of Sulfur, Mercury, and Salt, the four elements of earth, air, water, and fire, or five levels of consciousness.

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