The 47th Problem of Euclid or 47th Proposition of Euclid is also known as the Pythagorean Theorem. It is represented by three squares.
The symbol of the 47th problem of Euclid looks mysterious to the uninitiated, and a lot of them often ponder on what this Masonic symbol means.
Some Masonic historians describe the 47th Problem of Euclid as something that connotes a love of the sciences and the arts, but that definition leaves a lot unsaid. Our explanation will include the Masonic Square along with Pythagoras’ theory.
The Pythagoras theorem states that in a right-angled triangle, the sum of the squares on the two sides is equal to the square of the hypotenuse. So, for a right-angled triangle with lengths of sides in the ratio 3:4:5, ‘5’ represents the hypotenuse or the longest side.
3: 4: 5
3squared: 4squared: 5squared
9: 16: 25
9 + 16 = 25
The first four numbers are 1, 2, 3 and 4. Let us write down the squares of these numbers.
1squared: 2squared: 3squared: 4squared
1: 4: 9: 16
When you subtract each square from the next one, you get 3, 5, 7.
4-1 = 3
9-4 = 5
16-9 = 7
The ratio 3: 5: 7 is very important. The ratio represents the steps in Freemasonry. They are the steps, and the exact number of brothers that form the number of Master Masons needed to open a lodge.
3 Master Mason
5 Fellow Craft
7 Entered Apprentice
3: 5: 7 represents the steps in the Winding Stair that leads to the Middle Chamber.
The 47th Problem of Euclid is necessary for constructing a foundation that is architecturally correct as established by the use of the square. This is important to Operative Masons as well as Speculative Masons.
The 47th Problem of Euclid is a mathematical ratio that allows a Master Mason to square his square when it is out of square. Reference from Brickmasons.com
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