Math Antics Circles, What Is PI

[oliverromain]

My eight year old got this in one watch Brilliant teaching. Going to subscribe.

[realityversusfiction]

All differential equations involving the formulae Pi π are infinitely irrational because you cannot equally divide a “Disproportionate – Irrational – Asymmetrical” amount into a “Proportional – Rational – Symmetrical” amount of anything.

Observe a circular analogue clock face; there are 360 degrees of circumnavigation to one rotation of the hour hand, and 60 one-tenth degrees to one rotation of the second hand yielding a total of 3, 600 one-tenth degrees to one hour.

Question

Given that all clock and watchmakers subdivide 360 degrees of a circle into a set number of equal lengths (Rational) parts, why is it that mathematicians and geometers cannot do the same?

Answer

You simply cannot subdivide a whole symmetrical unit, with an asymmetrical part.

Or put another way, you cannot subdivide a whole rational unit, with an irrational part.

Therefore as a circle is perfectly “Proportional – Rational – Symmetrical”, it is impossible to subdivide the length of a circle equally, using the number three + bit of a number.

Pi π is an outline that lies proximate to the symmetrical – rational edge of a circle that is subsequently irrational (asymmetrical) because it cannot divide a circle's edge into an equal number of parts.

The challenge to any and all mathematicians (Anyone): is to prove this simple arithmetic wrong, and if they cannot then they should take a watchmakers course and stop using Pi π.

CIRCLE

A circle's edge is perfectly rational having no beginning or ending, and it can be divided into any number of equal parts e.g. 360 degrees - 60 minutes - 3, 600 seconds.

THE LENGTH OF A CIRCLES EDGE

Using a 120-centimetre length of diameter multiply this by 3

The circle's edge length is 360 cm long

The circle's edge has 360 degrees of subdivision

The circle's edge has 360 degrees and each degree is 1 centimetre long

THE SUMERIAN METHOD - CALCULATING THE AREA OF A CIRCLE

Using a 120-centimetre length of diameter multiply this by 3

The Circles Edge is 360 cm long 2. Multiply the 360 centimetres "Edge Length" by itself = 129, 600 square centimetres

Divide 129, 600 by 12 = 10, 800 Square Centimetres to the Area of the Circle

ARCHIMEDES: PROPOSITION

The area of any circle is equal to a right-angled triangle in which one of the sides about the triangle is equal to the radius, and the other to the circumference of the circle.

Archimedes Triangle
The Circle in question has a 120-centimetre Diameter length

The base right-angle is equal to the radius of 60 centimetres

The area of the circle is equal to the right-angle triangle, which has one side that is equal to the 60-centimetre radius, and the other to the 360-centimetre circumference of the circle

The 360-centimetre height of the right-angle is equal to 6 x the 60-centimetre radius length

(1r) 60 centimetres x (6r) 360 centimetres yields 21, 600 square centimetres the area of the rectangle

Half of the rectangle is 10, 800 square centimetres

The area of the triangle is half of the 1r x 6r rectangle

Half of the 1r x 6r rectangle is 1r x 3r (1r) 60 centimeters x (3r) 180 centimeters = 10, 800 square centimeters

THREE TIMES THE RADIUS SQUARED

The Diameter of the Circle is 120 centimetres

The diameter x 120 centimetres gives, 14, 400 square centimetres to the square of the diameter

The 60-centimetre radius x 60-centimetres yields 3, 600 square centimetres to the square of the radius

The square of the radius x 3 gives, 10, 800 square centimetres to the area of the Circle

SUMERIAN AREA: 10, 800 square centimetres

ARCHIMEDEAN AREA 10, 800 square centimetres

THREE TIMES THE RADIUS SQUARED AREA: 10, 800 square centimetres

FOUR QUADRANTS 10, 800 square centimetres

Three Thousand Years Apart
And
Four Identical Results Is Not Coincidental

THE AREAS OF RINGS

Using An Eight Mile Diameter Right Angled Square (Or kilometres)

Begin by first finding the area of each circle Multiply the 2-mile diameter of the central yellow circle by itself = 4 square miles to the square of the diameter, divide by 4 = 1 square mile x 3 = 3 square miles to the central circle.

Multiply the 4-mile diameter of the red circle by itself = 16 square miles to the square of the diameter, divide by 4 = 4 square miles x 3 = 12 square miles to the red circle.

Multiply the 6-mile diameter of the blue circle by itself = 36 square miles to the square of the diameter, divide by 4 = 9 square miles x 3 = 27 square miles to the blue circle.

Multiply the 8-mile diameter of the green circle by itself = 64 square miles to the square of the diameter, divide by 4 = 16 square miles x 3 = 48 square miles to the green circle.

Deduct the 3 square mile area of the central yellow circle from the 12 square mile area of the red circle; = 9 square miles to the area of the red ring.

Deduct the 12 square mile area of the red circle from the 27 square mile area of the blue circle = 15 square miles to the area of the blue ring.

Deduct the 27 square mile area of the blue circle from the 48 square mile area of the green circle = 21 square miles to the area of the green ring.

Deducting the 48 square mile area of the green circle from the 64 square mile area of the overall pale blue square, = 16 square miles to the remaining area of the square, which is 1/4 of the area of the square of 64 square miles.

Check

Central Circle = 3 square miles
Red Ring = 9 square miles
Blue Ring = 15 square miles
Green Ring = 21 square miles
Pale Blue Area = 16 square miles
+
= 64 square miles

TIME

360 Degrees to one equatorial circumnavigation of the Earth’s surface around its fixed core (diameter) = One Day.

ONE DAY

360 degrees of one day divided by 24 = 15 degrees 15 degrees of one day multiplied by 24 = 360 degrees to one hour

360 degrees to one hour multiplied by 10 = 3, 600 seconds to one hour

3, 600 seconds of one hour divided by 60 = 60 seconds to one minute

CHECK

60 Seconds x 60 = 3, 600 seconds = one hour

One hour of 3, 600 seconds x 24 = 7, 200 seconds to one day

7, 200 seconds divide by 24 = one 15 degrees hour multiplied by 24 = 360 degrees to one day