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The Egyptian Khafre Pyramid of Giza and squaring the circle with a circle with a diameter of 4 and a square with a width of 3:

“Squaring the circle with a Pyramid that has a square base width of 3 equal units of measure and a height of 2 equal units of measure”:

If the square base width of a Pyramid has 3 equal units of measure and the height of that Pyramid has 2 equal units of measure then the height of that Pyramid can be used as a radius of a circle to create a circle with an area that is equal to the circumference of that circle. If the diameter of a circle has 4 equal units of measure then the circumference of that circle is 12.566370614359172 and 12.566370614359172 reduced to 4 decimal places is 12.56. Pi = 3.141592653589793 and 3.141592653589793 multiplied by the radius of a circle with 2 equal units of measure is Tau = 6.283185307179586. If Tau - 6.283185307179586 is multiplied by 2 equal times then the area of the circle is 12.566370614359172 and 12.566370614359172 is the same value for the circumference of a circle with a radius of 2 equal units of measure. The square base width of this Pyramid has 3 equal units of measure and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure. So the perimeter of this Pyramid with a square base width of 3 equal units of measure and height of 2 equal units of measure involves the perimeter of the square base width of the pyramid being close in measure to the circumference and area of a circle that has a radius equal in measure to the height of his Pyramid. Circumference of circle is 12.566370614359172 and area of circle is also 12.566370614359172. 12.566370614359172 reduced to 4 decimal places is 12.56 and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure.

When the height of a Pyramid with 2 equal units of measure is divided by its square base width of 3 equal units of measure the result is the inverse of the Golden ratio approximated to: 0.666666666666667.

A Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure encodes the theorem of Pythagoras because the apothem of a Pyramid with a height of 2 equal units of measure and a square base width of 3 equal units of measure is based upon a 3-4-5 scalene triangle with its edge lengths being half of the 3 lengths of 3-4-5 scalene triangle.

The Slant height of a Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure is 53.13010235415598 degrees and 53.13010235415598 reduced to 4 decimal places is 53.13 degrees.

A Pyramid with a height of 2 equal units of measure and square base width of 3 equal units of measure involves the ratio 0.6 when half the width of the Pyramid with a height of 2 equal units of measure and a square base width of 3 equal units of measure is divided by the slant height because Cosine (53.13010235415598) produces the ratio 0.6. Cosine (53.13010235415598) multiplied by 2 is 1.2 and 0.6 multiplied by 2 is 1.2. The width of the square base of a Pyramid with a height of 2 equal units of measure and a square base width of 3 equal units of measure divided by the slant height produces the ratio 1.2.

If the Slant height of a Pyramid with a square base of 3 equal units of measure and height of 2 equal units of measure is divided by half the measure of the square base width the result is the Golden ratio approximated to: 1.666666666666667. The longest edge lengths for the 4 isosceles triangles that make up a Pyramid with a height of 2 equal units of measure and a square base width of 3 equal units of measure is 2.91547594742265 equal units of measure and 2.91547594742265 reduced to 4 decimal places is 2.915. So the edge slant of a Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure is 2.915 equal units of measure. The hypotenuse that is between the height and lower corner of the square that has width equal to half the width of a Pyramid with a height of 2 equal units of measure and a square base width of 3 equal units of measure is 43.31385665828304 degrees. 43.31385665828304 degrees reduced to 4 decimal places is 43.31 degrees. The Pyramid with a square a base width of 3 equal units of measure and a height of 2 equal units of measure produces the ratio of 0.75 or 3 quarters when half the width of the square base is divided by the height of this Pyramid. The Pyramid with a square a base width of 3 equal units of measure and a height of 2 equal units of measure produces the ratio of 1.25 or 1equal unit of measure plus a quarter of 1 equal unit of measure when the Slant height of this Pyramid is divided by the height of this Pyramid. The volume of a Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure is 6.

Half the Perimeter of a Pyramid with a square base width of 3 equal units of measure is 6 equal units of measure. The Slant height of a Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure is 2.5 equal units of measure. The area of a square with a width of 3 equal units of measure is 9 square equal units of measure. The total surface area of a Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure is 24 equal square units of measure because half the Perimeter of this square base Pyramid is 6 and 6 multiplied by 2.5 the slant height of this Pyramid is 15. 15 plus 9 is 24. The surface area of a square with a width of 3 equal units of measure is 9 again 53.13010235415598. 6 x 2.5 = 15. 15 + 9 = 24. 24 squared is 576.There are 24 hours in a day and half of 24 is 12. There are 12 Zodiac signs for the Sun to travel through over a period of 25920 years. Each Zodiac sign lasts 2160 years with the Sun in it.

“Squaring the Circle with a square with 3 equal units of measure and a circle with a diameter of 4 equal units of measure”:

The circle includes a square and a circle that shares the same centre. The diameter of the circle has 4 equal units of measure and the width of the square has 3 equal units of measure. The harmonies of combining a square with a width of 3 equal units of measure with a circle with a diameter of 4 equal units of measure and both the square and the circle share the same centre involves the circle’s circumference being equal in measure to the area of the circle. If the diameter of a circle has 4 equal units of measure then the circumference of that circle is 12.566370614359172 and 12.566370614359172 reduced to 4 decimal places is 12.56. Pi = 3.141592653589793 and 3.141592653589793 multiplied by the radius of a circle with 2 equal units of measure is Tau = 6.283185307179586. If Tau - 6.283185307179586 is multiplied by 2 equal times then the area of the circle is 12.566370614359172 and 12.566370614359172 is the same value for the circumference of a circle with a radius of 2 equal units of measure. The width of this square has 3 equal units of measure and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure. So the perimeter of this square with a width of 3 equal units of measure and the radius of the circle with 2 equal units of measure involves the perimeter of the square with a width of 3 equal units of measure being close in measure to the circumference and area of a circle that has a radius equal in measure to 2 equal units of measure. Circumference of circle is 12.566370614359172 and area of circle is also 12.566370614359172. 12.566370614359172 reduced to 4 decimal places is 12.56 and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure.

If the radius of the circle with 2 equal units of measure is divided by the width of the square with 3 equal units of measure then the result is the inverse of the Golden ratio approximated to: 0.666666666666667.

If the hypotenuse that is located between the radius of a circle with 2 equal units of measure and half the central width of a square with 3 equal units of measure is divided by half the width if the square with 3 equal units of measure the result is the Golden ratio approximated to: 1.666666666666667.

A square with a width of 3 equal units of measure and a circle with a radius of 2 equal units of measure encodes the theorem of Pythagoras when both the circle with a radius of 2 equal units of measure and the square with a width of 3 equal units of measure share the same centre because the scalene triangle that is made from the radius of the circle with 2 equal units of measure and half the central square width of 3 equal units of measure is based upon a 3-4-5 scalene triangle with its edge lengths being half of the 3 lengths of 3-4-5 scalene triangle.

The hypotenuse of a scalene triangle with its second longest length the adjacent edge being equal to 2 equal units of measure and the shortest length being the opposite edge of the scalene results in the measure of the hypotenuse of this scalene triangle being 53.13010235415598 degrees and 53.13010235415598 reduced to 4 decimal places is 53.13 degrees.

A scalene triangle with its second longest length as 2 equal units of measure while the shortest length of the scalene triangle is 1.5 equal units of measure involves the ratio 0.6 when the shortest length of the scalene triangle is divided by the hypotenuse of this scalene triangle because Cosine (53.13010235415598) produces the ratio 0.6. 2.5 equal units of measure is the length of the hypotenuse of a scalene triangle with its second longest length as 2 equal units of measure while the shortest length of this scalene triangle is 1.5 equal units of measure. Cosine (53.13010235415598) multiplied by 2 is 1.2 and 0.6 multiplied by 2 is 1.2. The width of a isosceles triangle that is 3 equal units of measure while the height of the isosceles triangle is 2 equal units of measure involves the ratio 1.2 when the square base width of this isosceles triangle is divided by any of the 2 second longest edge lengths because Cosine (53.13010235415598) multiplied by 2 is 1.2.

• A square with a width of 3 equal units of measure and a circle with a radius of 2 equal units of measure produce the ratio of 0.75 or 3 quarters when half the width of the square is divided by the radius of the circle with 2 equal units of measure. A square with a width of 3 equal units of measure and a circle with a radius of 2 equal units of measure produces the ratio of 1.25 or 1equal unit of measure plus a quarter of 1 equal unit of measure when the hypotenuse of the scalene triangle that is formed between the radius of the circle with 2 equal units of measure and half the central width of the square with 3 equal units of measure is divided by the radius of the circle with 2 equal units of measure. The diameter of a circle with 4 equal units of measure divided by the width of a square with 3 equal units of measure produces the ratio: 1.333333333333333. The ratio 1.333333333333333 when applied to the inverse of Tangent in Trigonometry produces the measure angle of 53.13010235415598 degrees. 53.13010235415598 degrees reduced to 4 decimal places is 53.13 degrees.

• “The alternative placement of circle’s centre in relation to the square’s centre when squaring the circle with a circle with a diameter of 4 equal units of measure and a square with a width of 3 equal units of measure”:

The circle includes a square and a circle that do not share the same centre. In this diagram the central base width of the square is located on 1 of the poles for 1 of the diameters of the circle. The diameter of the circle has 4 equal units of measure and the width of the square has 3 equal units of measure. The harmonies of combining a square with a width of 3 equal units of measure with a circle with a diameter of 4 equal units of measure and both the square and the circle share the same centre involves the circle’s circumference being equal in measure to the area of the circle. If the diameter of a circle has 4 equal units of measure then the circumference of that circle is 12.566370614359172 and 12.566370614359172 reduced to 4 decimal places is 12.56. Pi = 3.141592653589793 and 3.141592653589793 multiplied by the radius of a circle with 2 equal units of measure is Tau = 6.283185307179586. If Tau - 6.283185307179586 is multiplied by 2 equal times then the area of the circle is 12.566370614359172 and the circumference of the circle is also 12.566370614359172. The width of this square has 3 equal units of measure and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure. So the perimeter of this square with a width of 3 equal units of measure and the radius of the circle with 2 equal units of measure involves the perimeter of the square with a width of 3 equal units of measure being close in measure to the circumference and area of a circle that has a radius equal in measure to 2 equal units of measure. Circumference of circle is 12.566370614359172 and area of circle is also 12.566370614359172. 12.566370614359172 reduced to 4 decimal places is 12.56 and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure.

The diameter of a circle with 4 equal units of measure divided by the width of a square with 3 equal units of measure produces the ratio: 1.333333333333333. The ratio 1.333333333333333 when applied to the inverse of Tangent in Trigonometry produces the measure angle of 53.13010235415598 degrees. 53.13010235415598 degrees reduced to 4 decimal places is 53.13 degrees.

The diameter of the circle has 4 equal units of measure and if 3 quarters of the circle’s diameter are used to create the length of a line then the length of that line will be equal in measure to the width of this appropriate square. The width of the square is 3 equal units of measure and the diameter of the circle is 4 equal units of measure and 3 divided by 4 is the ratio 0.75 or 3 quarters of 1.

“Squaring the circle with a Pyramid that has a square base width of 3 equal units of measure and a height of 2 equal units of measure”:

If the square base width of a Pyramid has 3 equal units of measure and the height of that Pyramid has 2 equal units of measure then the height of that Pyramid can be used as a radius of a circle to create a circle with an area that is equal to the circumference of that circle. If the diameter of a circle has 4 equal units of measure then the circumference of that circle is 12.566370614359172 and 12.566370614359172 reduced to 4 decimal places is 12.56. Pi = 3.141592653589793 and 3.141592653589793 multiplied by the radius of a circle with 2 equal units of measure is Tau = 6.283185307179586. If Tau - 6.283185307179586 is multiplied by 2 equal times then the area of the circle is 12.566370614359172 and 12.566370614359172 is the same value for the circumference of a circle with a radius of 2 equal units of measure. The square base width of this Pyramid has 3 equal units of measure and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure. So the perimeter of this Pyramid with a square base width of 3 equal units of measure and height of 2 equal units of measure involves the perimeter of the square base width of the pyramid being close in measure to the circumference and area of a circle that has a radius equal in measure to the height of his Pyramid. Circumference of circle is 12.566370614359172 and area of circle is also 12.566370614359172. 12.566370614359172 reduced to 4 decimal places is 12.56 and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure.

When the height of a Pyramid with 2 equal units of measure is divided by its square base width of 3 equal units of measure the result is the inverse of the Golden ratio approximated to: 0.666666666666667.

A Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure encodes the theorem of Pythagoras because the apothem of a Pyramid with a height of 2 equal units of measure and a square base width of 3 equal units of measure is based upon a 3-4-5 scalene triangle with its edge lengths being half of the 3 lengths of 3-4-5 scalene triangle.

The Slant height of a Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure is 53.13010235415598 degrees and 53.13010235415598 reduced to 4 decimal places is 53.13 degrees.

A Pyramid with a height of 2 equal units of measure and square base width of 3 equal units of measure involves the ratio 0.6 when half the width of the Pyramid with a height of 2 equal units of measure and a square base width of 3 equal units of measure is divided by the slant height because Cosine (53.13010235415598) produces the ratio 0.6. Cosine (53.13010235415598) multiplied by 2 is 1.2 and 0.6 multiplied by 2 is 1.2. The width of the square base of a Pyramid with a height of 2 equal units of measure and a square base width of 3 equal units of measure divided by the slant height produces the ratio 1.2.

If the Slant height of a Pyramid with a square base of 3 equal units of measure and height of 2 equal units of measure is divided by half the measure of the square base width the result is the Golden ratio approximated to: 1.666666666666667. The longest edge lengths for the 4 isosceles triangles that make up a Pyramid with a height of 2 equal units of measure and a square base width of 3 equal units of measure is 2.91547594742265 equal units of measure and 2.91547594742265 reduced to 4 decimal places is 2.915. So the edge slant of a Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure is 2.915 equal units of measure. The hypotenuse that is between the height and lower corner of the square that has width equal to half the width of a Pyramid with a height of 2 equal units of measure and a square base width of 3 equal units of measure is 43.31385665828304 degrees. 43.31385665828304 degrees reduced to 4 decimal places is 43.31 degrees. The Pyramid with a square a base width of 3 equal units of measure and a height of 2 equal units of measure produces the ratio of 0.75 or 3 quarters when half the width of the square base is divided by the height of this Pyramid. The Pyramid with a square a base width of 3 equal units of measure and a height of 2 equal units of measure produces the ratio of 1.25 or 1equal unit of measure plus a quarter of 1 equal unit of measure when the Slant height of this Pyramid is divided by the height of this Pyramid. The volume of a Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure is 6.

Half the Perimeter of a Pyramid with a square base width of 3 equal units of measure is 6 equal units of measure. The Slant height of a Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure is 2.5 equal units of measure. The area of a square with a width of 3 equal units of measure is 9 square equal units of measure. The total surface area of a Pyramid with a square base width of 3 equal units of measure and a height of 2 equal units of measure is 24 equal square units of measure because half the Perimeter of this square base Pyramid is 6 and 6 multiplied by 2.5 the slant height of this Pyramid is 15. 15 plus 9 is 24. The surface area of a square with a width of 3 equal units of measure is 9 again 53.13010235415598. 6 x 2.5 = 15. 15 + 9 = 24. 24 squared is 576.There are 24 hours in a day and half of 24 is 12. There are 12 Zodiac signs for the Sun to travel through over a period of 25920 years. Each Zodiac sign lasts 2160 years with the Sun in it.

“Squaring the Circle with a square with 3 equal units of measure and a circle with a diameter of 4 equal units of measure”:

The circle includes a square and a circle that shares the same centre. The diameter of the circle has 4 equal units of measure and the width of the square has 3 equal units of measure. The harmonies of combining a square with a width of 3 equal units of measure with a circle with a diameter of 4 equal units of measure and both the square and the circle share the same centre involves the circle’s circumference being equal in measure to the area of the circle. If the diameter of a circle has 4 equal units of measure then the circumference of that circle is 12.566370614359172 and 12.566370614359172 reduced to 4 decimal places is 12.56. Pi = 3.141592653589793 and 3.141592653589793 multiplied by the radius of a circle with 2 equal units of measure is Tau = 6.283185307179586. If Tau - 6.283185307179586 is multiplied by 2 equal times then the area of the circle is 12.566370614359172 and 12.566370614359172 is the same value for the circumference of a circle with a radius of 2 equal units of measure. The width of this square has 3 equal units of measure and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure. So the perimeter of this square with a width of 3 equal units of measure and the radius of the circle with 2 equal units of measure involves the perimeter of the square with a width of 3 equal units of measure being close in measure to the circumference and area of a circle that has a radius equal in measure to 2 equal units of measure. Circumference of circle is 12.566370614359172 and area of circle is also 12.566370614359172. 12.566370614359172 reduced to 4 decimal places is 12.56 and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure.

If the radius of the circle with 2 equal units of measure is divided by the width of the square with 3 equal units of measure then the result is the inverse of the Golden ratio approximated to: 0.666666666666667.

If the hypotenuse that is located between the radius of a circle with 2 equal units of measure and half the central width of a square with 3 equal units of measure is divided by half the width if the square with 3 equal units of measure the result is the Golden ratio approximated to: 1.666666666666667.

A square with a width of 3 equal units of measure and a circle with a radius of 2 equal units of measure encodes the theorem of Pythagoras when both the circle with a radius of 2 equal units of measure and the square with a width of 3 equal units of measure share the same centre because the scalene triangle that is made from the radius of the circle with 2 equal units of measure and half the central square width of 3 equal units of measure is based upon a 3-4-5 scalene triangle with its edge lengths being half of the 3 lengths of 3-4-5 scalene triangle.

The hypotenuse of a scalene triangle with its second longest length the adjacent edge being equal to 2 equal units of measure and the shortest length being the opposite edge of the scalene results in the measure of the hypotenuse of this scalene triangle being 53.13010235415598 degrees and 53.13010235415598 reduced to 4 decimal places is 53.13 degrees.

A scalene triangle with its second longest length as 2 equal units of measure while the shortest length of the scalene triangle is 1.5 equal units of measure involves the ratio 0.6 when the shortest length of the scalene triangle is divided by the hypotenuse of this scalene triangle because Cosine (53.13010235415598) produces the ratio 0.6. 2.5 equal units of measure is the length of the hypotenuse of a scalene triangle with its second longest length as 2 equal units of measure while the shortest length of this scalene triangle is 1.5 equal units of measure. Cosine (53.13010235415598) multiplied by 2 is 1.2 and 0.6 multiplied by 2 is 1.2. The width of a isosceles triangle that is 3 equal units of measure while the height of the isosceles triangle is 2 equal units of measure involves the ratio 1.2 when the square base width of this isosceles triangle is divided by any of the 2 second longest edge lengths because Cosine (53.13010235415598) multiplied by 2 is 1.2.

• A square with a width of 3 equal units of measure and a circle with a radius of 2 equal units of measure produce the ratio of 0.75 or 3 quarters when half the width of the square is divided by the radius of the circle with 2 equal units of measure. A square with a width of 3 equal units of measure and a circle with a radius of 2 equal units of measure produces the ratio of 1.25 or 1equal unit of measure plus a quarter of 1 equal unit of measure when the hypotenuse of the scalene triangle that is formed between the radius of the circle with 2 equal units of measure and half the central width of the square with 3 equal units of measure is divided by the radius of the circle with 2 equal units of measure. The diameter of a circle with 4 equal units of measure divided by the width of a square with 3 equal units of measure produces the ratio: 1.333333333333333. The ratio 1.333333333333333 when applied to the inverse of Tangent in Trigonometry produces the measure angle of 53.13010235415598 degrees. 53.13010235415598 degrees reduced to 4 decimal places is 53.13 degrees.

• “The alternative placement of circle’s centre in relation to the square’s centre when squaring the circle with a circle with a diameter of 4 equal units of measure and a square with a width of 3 equal units of measure”:

The circle includes a square and a circle that do not share the same centre. In this diagram the central base width of the square is located on 1 of the poles for 1 of the diameters of the circle. The diameter of the circle has 4 equal units of measure and the width of the square has 3 equal units of measure. The harmonies of combining a square with a width of 3 equal units of measure with a circle with a diameter of 4 equal units of measure and both the square and the circle share the same centre involves the circle’s circumference being equal in measure to the area of the circle. If the diameter of a circle has 4 equal units of measure then the circumference of that circle is 12.566370614359172 and 12.566370614359172 reduced to 4 decimal places is 12.56. Pi = 3.141592653589793 and 3.141592653589793 multiplied by the radius of a circle with 2 equal units of measure is Tau = 6.283185307179586. If Tau - 6.283185307179586 is multiplied by 2 equal times then the area of the circle is 12.566370614359172 and the circumference of the circle is also 12.566370614359172. The width of this square has 3 equal units of measure and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure. So the perimeter of this square with a width of 3 equal units of measure and the radius of the circle with 2 equal units of measure involves the perimeter of the square with a width of 3 equal units of measure being close in measure to the circumference and area of a circle that has a radius equal in measure to 2 equal units of measure. Circumference of circle is 12.566370614359172 and area of circle is also 12.566370614359172. 12.566370614359172 reduced to 4 decimal places is 12.56 and the perimeter of a square with a width of 3 equal units of measure is 12 equal units of measure.

The diameter of a circle with 4 equal units of measure divided by the width of a square with 3 equal units of measure produces the ratio: 1.333333333333333. The ratio 1.333333333333333 when applied to the inverse of Tangent in Trigonometry produces the measure angle of 53.13010235415598 degrees. 53.13010235415598 degrees reduced to 4 decimal places is 53.13 degrees.

The diameter of the circle has 4 equal units of measure and if 3 quarters of the circle’s diameter are used to create the length of a line then the length of that line will be equal in measure to the width of this appropriate square. The width of the square is 3 equal units of measure and the diameter of the circle is 4 equal units of measure and 3 divided by 4 is the ratio 0.75 or 3 quarters of 1.

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