ANGLES

ORIGINS OF ANGLES

The Gregorian Universal System and Units of Measurement System (GUSUMS) also provides illustration that shows that angles originated from the circle. This starts with the circle which is the first perfect geometrical shape that could be as explained by GUSUMS in the origins of geometry and the origins of numbers and numbering.

The Circle-Angle 360 degrees

Since the total angles in a triangle are equal to 360 degrees, this was the origin of angles.

image of a circle
Angles in a circle


The seed of life

From the circle, other angles could also be created based on the subsequent divisions of the subsequent sacred geometrical circles. The first circular sacred geometrical shapes that can be created after the circle is the seed of life.  Which divides the circle into 6 equal parts

image of the seed of life
The seed of life divides the Circle into 6 equal parts


 

Angles 60

Since the seed of life divides the circle into equal parts and the total number of angles in a circle is equal to 360 degrees, then each division of the seed of life is 60 degrees. This, explains the origins of the 60 degree and how humanity was first able to create it.

image showing all angles in the seed of life are 60 degrees
60 degrees angles derived from sacred geometry in the seed of life


Angle 120

Combining 2 of the 60 degrees angles creates an angle that is 120 degrees.

Image showing how an angle of 120 degrees can be derived from the circle
An angle of 120 degrees derived from the circle


Angle 180

Combining 3 of the 60 degrees angles divides the circle into 2 equal parts. This means that each angle will be 180 degrees.

Image of an angle of 180 degrees derived from the circle
An angle of 180 degrees


Angle 240

Adding an additional 60 degree angle in the fruit of life creates an angle that is 240 degrees.

Image showing an angle of 240 degrees
A 240 degrees angle

The Second Circular Shapes

From the seed of life, the next circular sacred geometrical shape that can be formed contains 12 divisions.

Image of the second circle formed from sacred geometry
The second circle with 12 divisions


Angles in the Second Circle

Since each division from the center is equal, then each angle is equal to 360 divided by 12 or 30 degrees Thus, from the second circle it is possible to create angles of 30 degrees, 60 degrees, 90 degrees, 120 degrees, 150 degrees, 180 degrees, 210 degrees, 240 degrees, 270 degrees, 300 degrees, 330, degrees, and 360 degrees.

Image showing that each angle in the second circle is 30 degrees


The Third Circle

The third circle divides the circle into 18 parts.

image of the third circle with 18 divisions
The Third Circle is the fruit of life with 18  divisions


Angles of the Third Circle

Angles in the third circle are not all equal as it comprises of angles that are 19.1 degrees and angles that are 21.8 degrees.

Image of angles in the Fruit of Life
Angles in the fruit of life


 

The Origins of Angles Summary

From the above, we can conclude that angles originated from the circle based on the number of divisions of the circle. We also know that the number of divisions increases based on multiples of 6. This is because the first circle had 6 divisions, the second has 12 divisions, the third has 18, the fourth has 24, and so on and so forth. Thus, GUSUMS is right for concluding that angles originated from the circle as using the circle all angles can be created from all multiples of 6 that are in 360. In addition, the above illustrations also show that we can combine various numbers of angles to create additional angles other than the ones gotten from the multiples of 6 e.g by combining two 60 degrees angle to create 120, or combining 3 30 degrees angle to create a 90  degree angle. So, essentialy any angle can be created from the circle. Thus, based on the divisions of the circle we can create angles containing any combination of the following multiples of 6 that can divide 360.

Table showing all angles that can be formed from multiples of 6

Link to the Book: The Gregorian Universal System and Units of Measurement System (GUSUMS): The Art of Mathematics

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