CONCEPTS OF/IN CIRCULAR MEASUREMENTS
The Circle
A circle is a
collection of all the points in a plane object, which are at a fixed distance
from a fixed point in the plane.
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| The Circle |
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| The seed of life showing that all points of the circumference of a circle are at a fixed distance from its center |
Circumference
The circumference of a
circle is its ‘perimeter’ or the measure of the total distance around a circle.
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| The Circumference of the circle is the total distance around a circle |
The Radius
A radius is the measure
of distance from the center of a circular object to its outermost edge or
boundary (a point on the circumference).
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| The radius of the circle is the distance from the center of a circle to its circumferences |
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| The radii of the circle from the seed of life |
The Diameter
The diameter is the
linear segment that passes through the center of a circle and its two end
points both touch the circumference of that circle.
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| The diameter is the distance across the seed of life or through a circle |
Semicircle
A semicircle is the is
the shape formed by dividing the circle into two equal parts across its center
using the diameter.
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| Dividing the seed of life into 2 creates a semicircle |
Chord
A chord of a circle is
a line segment whose endpoints both touch the circumference of a circle.
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| The chord of a circle |
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| Examples of Chords from the Fruit of Life |
The arc
An arc is defined as a
part or segment of the circumference of a circle.
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| A circular arc |
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| Examples of Arcs in the seed of life |
Circular Sector
A sector is defined as
a circular area that is enclosed by 2 radii and arc
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| A circular Sector |
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| Circular Sectors in the seed of life |
Circular Segment
A circular segment is
defined as the area of a circle that is enclosed by an arc and a chord.
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| Circular Segment |
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| Circular Segments in the seed of life |
The Concept of Pi
Based on GUSUMS pi is
the default value of the circumference of a circle with a diameter of 1 and a
radius of 0.5 as explained in the origins of the GUSUMS formula. This because
in whatever unit or systems of measurement used, one will always get a
circumference that is equal to pi if the diameter is 1.
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| The Default Values of pi from sacred geometry |
The GUSUMS Formula for Calculating the Circumference of a Circle
Traditional, the
circumference was calculated as pi times the diameter. The current value of
pi to 15 decimal place is 3.14159265358979. Thus, the circumference of a circle
is calculated as the diameter times 3.14159265358979. Thus, for a diameter of
1, the circumference will be 3.14159265358979.
The New Formula for Calculating the Circumference of a Circle
GUSUMS discovered a new formula for
calculating the circumference of a circle. The GUSUMS formula for calculating
the circumference of a circle is;
CIRCUMFERENCE = Diameter*3 + Diameter/7
The above formula shows that pi to 15 decimal
places should actually be 3.14285714285714 and not 3.14159265358979 as
previously thought. Thus, the GUSUMS formula shows that pi is exactly 22/7 and
does not vary. This means that our current values based on the current pi is
less by about 0.040249943%.
Origins of the GUSUMS formula
The GUSUMS formula was gotten using the same
method that Archimedes used to identify the value. Archimedes identified the
value of pi by circumscribing the circles around hexagons and identifying the
relationship between the diameter of the hexagon and the circumference of the
circle. GUSUMS also did the same but used the resources and knowledge that were
not available before to improve on the value. Since the value of pi can be
reduced to the circumference of a circle with a diameter of one, then the above
circle can be used as an example to demonstrate the approach.
Origins of Diameter * 3
The perimeter of a hexagon is gotten by adding
the distance of all sides of the hexagon. The distance of each side is equal to
the radius. Thus, the perimeter of the hexagon will be the radius multiplied by
6 (0.5 * 6) since a hexagon is 6-sided. Thus, the perimeter of the hexagon will
is equal to the diameter * 3 since the diameter is twice the circle.
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| Origins of the Diameter multiplied 3 component of the GUSUMS formula |
Origins of Diameter/7
However, the perimeter of the hexagon does not
cover the total distance of the circle. Thus, the circumference of the circle
should be the distance of the hexagon plus something else to get to the full
circumference of the circle. Since we know that the perimeter of the hexagon is
already the diameter*3 then what is remaining?
After studying several circumferences of the circles
and the behaviors exhibited by the hexagon, GUSUMS noted that what remained was
equal to a 1/7 of the diameter. This was further supported by GUSUMS
identification and analysis of the base number of circular and linear units. GUSUMS had shown that from
1 to 10 the only number missing from base numbers of linear units was 7. This
implied it is circular. Through trial and error GUSUMS was able to show that
indeed 7 was the base number of circular units and the missing component and
hence the GUSUMS formula. So, the Circumference of a circle is equal to;
CIRCUMFERENCE = DIAMETER*3 + DIAMETER/7
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| The GUSUMS formula for calculating the circumference of a circle |
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