Great! I am trying to deepen my understanding of basic mathematics by learning the original way people like Archimedes and Newton thought about mathematics. This is perfect.
@bfedkjwerfegregfrerg
3 жыл бұрын
I think, so far, this is the best demonstration of the constant relationship between the circumference of any circle and its diameter.
@jahinraisa4086
Жыл бұрын
hey......u stole my words...
@amreshn2000
7 жыл бұрын
Very good explanation C/R is constant
@pallavsharma4079
5 жыл бұрын
You just nailed it, bro! thanks!
@hishamsaad4129
Жыл бұрын
Wow thank you so much. You answered I spent all my life wondering it
@portalopener7759
4 ай бұрын
More information saying that traditional Pi = 3.141592653589793 is false part 2 - kloka: Pi is also defined as the ratio of the area of a circle divided by the area of the square that is located on the radius of the circle. If a circle is created with a diameter that is the same measure as the longer edge length of a Square root of the golden ratio √φ = 1.272019649514069 rectangle then one-quarter of the circle’s circumference is the same measure as the shorter edge length of a Square root of the golden ratio √φ = 1.272019649514069 rectangle, plus both the surface area of the circle and the surface area of the Square root of the golden ratio √φ = 1.272019649514069 rectangle have the same surface area. A Square root of the golden ratio √φ = 1.272019649514069 rectangle can be divided into 8 Kepler right triangles and if the shortest edge length of a Kepler right triangle is reduced to 1 then the hypotenuse is equal to the Golden ratio of cosine (36 degrees) multiplied by 2 = (φ) = (√(5) plus 1)/2 = 1.618033988749895, while the second longest edge length of the Kepler right triangle is equal to the Square root of the golden ratio √φ = 1.272019649514069, according to the Pythagorean theorem. A Square root of the golden ratio √φ = 1.272019649514069 rectangle that has been divided into 8 Kepler right triangles has a surface area equal to 4 times √φ = 5.088078598056276. A circle with a diameter that is equal to the longer edge length of a Square root of the golden ratio √φ = 1.272019649514069 rectangle that has been divided into 8 Kepler right triangles also has a surface area equal to 4 times √φ = 5.088078598056276. The longer edge length of the Square root of the golden ratio √φ = 1.272019649514069 rectangle that has been divided into 8 Kepler right triangles has a surface area equal to 4 times √φ = 5.088078598056276 is also equal to 2 times √φ = 2.544039299028138. The shorter edge length of the Square root of the golden ratio √φ = 1.272019649514069 rectangle that has been divided into 8 Kepler right triangles has a surface area equal to 4 times √φ = 5.088078598056276 is also equal to 2. A circle with a diameter that is equal to the longer edge length of a Square root of the golden ratio √φ = 1.272019649514069 rectangle that has been divided into 8 Kepler right triangles also has a radius that is equal to the Square root of the golden ratio √φ = 1.272019649514069. √φ times √φ = the Golden ratio of cosine (36 degrees) multiplied by 2 = (φ) = (√(5) plus 1)/2 = 1.618033988749895. Circumference of the circle = 8. 1-quarter of the circle’s circumference = 2. Diameter of the circle = 2 times √φ = 2.544039299028138. Radius of the circle = the Square root of the golden ratio √φ = 1.272019649514069. The surface area of the circle divided the surface area of the square that is located on the radius of the circle = 4/√φ = 3.144605511029693144, because 4/√φ times √φ times √φ = 4 times √φ/((φ)) = 4/√φ = 3.144605511029693144. Surface area of the circle = 4/√φ times √φ times √φ = 4 times √φ = 5.088078598056276. Radius of the circle = the Square root of the golden ratio √φ = 1.272019649514069. Radius of the circle squared = √φ times √φ = the Golden ratio of cosine (36 degrees) multiplied by 2 = (φ) = (√(5) plus 1)/2 = 1.618033988749895. Pi is also defined as the surface area of the circle divided the surface area of the square that is located on the radius of the circle.
@devdutta4315
5 жыл бұрын
Excellent work sir .Lots of thanks
@mordernphysicsspshukla1773
Жыл бұрын
It will help me in JEE Advance this is such a nice theorm
@portalopener7759
5 ай бұрын
A circle does not have any edges. The correct way to calculate pi involves counting the amount of times the diameter of the circle fits around the curvature of the circle to determine the circumference of the circle and then dividing the circumference of the circle by the diameter of the circle. For a small circle an example can include dividing the diameter of the circle into 10 equal parts and then multiplying one tenth of the circle’s diameter around the curvature of the circle to prove that pi is larger than 3.
@yunogasai5985
2 жыл бұрын
how is OA/Oa = AB/ab ???????????????????
@mohitraina8513
3 жыл бұрын
Don't have words to express my happiness over this video... amazing.... speechless 😶
@madhavsanap6690
3 жыл бұрын
Superb. Just nailed it.
@wosm100
10 жыл бұрын
Sir, I wanted to thank you for this
@mahmoudalbahar1641
3 жыл бұрын
Thanks for this beautiful proof
@wosm100
10 жыл бұрын
I'm from Bauru Brazil and I wanted to thank you so much for explaining me this. And sorry for my bad english
@IntelR
2 жыл бұрын
Beautiful!
@MahmoudIsmail1988.
4 жыл бұрын
Disciplined and comprehensive demonstration
@yacobsmichaelson4838
3 жыл бұрын
Thanks bro for sharing #happy #revelation
@technobutt2696
9 ай бұрын
My old maths are fuzzy.. but how did you get to the assumption (not that I think it's incorrect), that OA/Oa=AB/ab? I may have missed the rationale behind that, but other than literally measuring an example, what ensures the length of the two longer sides scale as a factor in proportion to the two inscribed shorter sides of the complementary triangles? Is that a Pythagorean implication?
@derekpoon5308
7 ай бұрын
It is because triangle Oab and OAB are similar. He mentioned it at 2:40.
@ROMPJ
5 ай бұрын
Look for "Proof that the corresponding sides of similar triangles are in the same ratio" in youtube
@sarvajagannadhareddy1238
3 жыл бұрын
FINDING DIAMETER OF CIRCULAR OBJECT 1.Take a circular object. 2. Wrap a paper tape around the object. 3. Measure the length of the tape with Straightedge, and we get its circumference. 4.Multiply the circumference with square root of 2 and divide with (14 - root2) = 12.58578644...5. Add circumference to the 4th Step. 6 Finally divide Step 5 with 3.5. We get 100% correct diameter of circular object.
@ck3908
6 жыл бұрын
very nice
@shubhankarbansod8437
3 жыл бұрын
Keep it up....you help lot of once👍
@MathQuantum
3 жыл бұрын
You are welcome!
@portalopener7759
4 ай бұрын
More information saying that traditional Pi = 3.141592653589793 is false part 1 - kloka: The currently accepted value of Pi = (10 ^ 12)/(16255123/10213395)/(2)/(10 ^ 11) = 3.141592653589793 and is called regular Pi by some mathematicians. Regular Pi = (10 ^ 12)/(16255123/10213395)/(2)/(10 ^ 11) = 3.141592653589793 is wrong and does NOT belong to a circle but belongs to a polygon with many edges instead and you MUST always remember that a circle does NOT have any edges so that further proves that Traditional Pi = (10 ^ 12)/(16255123/10213395)/(2)/(10 ^ 11) = 3.141592653589793 is false. Traditional Π = Pi = 51066975/16255123 = 3.141592653589793 is false. Traditional Pi = ((10 ^ 42)/(30685681/9640191)) = 3.141592653589793 is false. Traditional Pi = (4/√(48908982/30169519)) = 3.141592653589793 is false. Common sense should tell you that a polygon and a circle are NOT the same thing but you are acting as if a circle and a polygon are the same thing when a circle is different from a polygon. A circle is defined by my dictionary as a plane figure with points that are equally distant from a central point. My dictionary says that a polygon is a plane figure with a minimum of 3 edges. A polygon can have many edges. It is impossible for a polygon to become a circle and that means that Pi MUST be larger than 3.141. 3.141 belongs to a polygon with more than a trillion edges but a circle does NOT have any edges. A polygon is identified and known by the number of edges that the polygon has got for example a Decagon is a polygon with 10 edges. It is impossible for a polygon with an infinite amount of edges to exist because a polygon is identified and known by a limited amount of edges. I repeat a circle does NOT have any edges. There will forever be a gap between the edge of the polygon and the curvature of the circle that contains the polygon it does NOT matter if the polygon has 10 ^ 98 edges because the gap between the edge of the polygon and the curvature of the circle that contains the polygon will forever remain. There can only be 1 Pi and that Pi MUST full-fill the following criteria: 1. That Pi MUST fit the definition of Pi from the dictionary the ratio of a circle's circumference divided by a circle's diameter. 2. That value of Pi Must have a physical counterpart. So that means the real value of Pi cannot be transcendental because transcendental numbers do NOT exist in the real world period. Transcendental numbers are only found on calculators. 3. There must be more than 1 geometric proof for the true value of Pi including the squaring of the circle and that involves both the creation of a circle that has a circumference that is the same measure as the perimeter of a square with just the aid of compass and straight edge alone and also the creation of a circle and a square with the same surface area with just the aid of compass and straight edge alone. Only Golden Pi = 4/√φ = 3.144605511029693144 can be used to square a circle with just compass and straight edge alone. To calculate Pi accurately get a piece of foam board that is larger than A0 such as 2A0 and create upon the surface of the foam board that is larger than A0 such as 2A0 a circle with 1-meter diameter by using a beam compass with a radius of 50 centimeters. After the circle with a 1-meter diameter has been created upon the flat surface of the piece of foam board that is larger than A0 such as 2A0 use a Rotary circle cutter with a metal blade and a radius of also 50 centimeters to cut around the contours of the circumference of the circle with a 1-meter diameter that was created upon the flat surface of the foam board that is larger than A0 such as 2A0. The length of the tape measure should be a minimum of 3200 millimeters. Wrap the length of the tape measure around the contours of the circumference of the circle with a 1-meter diameter that was created upon the piece of foam board that is larger than A0 such as 2A0. Make sure that the measurements are facing towards your eyes by measuring inwards around the circumference of the circle. The measurement should go all around the circumference of the circle finishing back at the starting position. The diameter of the circle MUST be equal to a minimum of 1-meter = 1000 millimeters or 100 centimeters. Do NOT use a circle with a diameter that is smaller than 1-meter. If the diameter of the circle is reduced to 1 then the circumference of the circle is Pi. Count the amount of times the diameter of the circle fits around the circumference of the circle and then divide the measure for the circumference of the circle by the diameter of the circle to discover the true value of Pi = 3.1446. If the diameter of a circle is 1-meter = 1000 millimeters then the circumference of the circle has a measure of 3144.6 millimeters. 3144.6 divided by 1000 = 3.1446. 4 divided by 3.1446 = the ratio 1.272021878776315. The ratio 1.272021878776315 is an approximation of the square root of the Golden ratio = √φ = 1.272019649514069 because if the ratio 1.272021878776315 is squared the result is the ratio 1.618039660085626. The ratio 1.618039660085626 is an approximation of the Golden ratio = (√(5) plus 1)/2 = (φ) = 1.618033988749895. The ratio 1.618039660085626 squared = the ratio 2.618052341610009. The Golden ratio = (φ) = 1.618033988749895 squared = (√(5) plus 3)/2 = 2.618033988749895. Proof that the Kepler right triangle is the key to the true value of Pi can also be demonstrated if the length of the measuring tape is a minimum of 4 meters = 4000 millimeters, because if the circumference of the 1-meter diameter circle = 3144.6 millimeters is marked and placed on a horizontal straight line while the 1-meter diameter of the circle = 1000 millimeters is multiplied 4 equal times on a vertical straight line the result is the circumference of the 1-meter diameter circle = 3144.6 millimeters is the shortest edge length of a Kepler right triangle while the multiplication of the 1-meter diameter of the circle = 1000 millimeters = 4000 millimeters is the second longest edge length of a Kepler right triangle. The multiplication of the 1-meter diameter of the circle = 1000 millimeters by 4 equal parts is 4000 millimeters. 4000 divided by 3144.6 = the ratio 1.2720218787763. The ratio 1.2720218787763 is an approximation of the square root of the golden ratio of √φ = 1.272019649514069, because the ratio 1.2720218787763 squared meaning that the ratio 1.2720218787763 times the ratio 1.2720218787763 = the ratio 1.6180396600856. We can find the correct decimal expansion for Pi as 4/√φ = 3.144605511029693144 and that is to 18 decimal places. We can have as many decimal places for Pi that are larger than 18 as long as we remember that the exact value for Pi = 4/√φ = 3.144605511029693144.
@sudiptoatutube
Жыл бұрын
Thanks for this great explanation! But how is this constant ratio between circumference to diameter is coming to 22/7? So put in other words, how exactly the circumference comes exactly to 22, when the diameter is exactly 7?
@paragggoyal1552
9 ай бұрын
its not exact its approximate i think your question is: what is the proof of -> circumference = 2*pi*r
@sudiptoatutube
9 ай бұрын
@@paragggoyal1552 Alright, thanks
@wosm100
10 жыл бұрын
I searched and asked, but I could not find the answer for : why is it the radius measure = 1
@zack_120
2 жыл бұрын
Unfortunately the derivation of π is skipped.
@portalopener7759
5 ай бұрын
A polygon cannot become a circle.
@livef0rever_147
4 ай бұрын
Indeed. The correct way to prove this (I believe) is to use the method of exhaustion to show that circles have to one another the duplicate ratio of their radii, A/a=(R/r)*(R/r) Then again, use the method of exhaustion to show that circles have to one another the ratio compounded of the ratios of their circumferences and radii; A/a=(C/c)*(R/r) Hence, (R/r)*(R/r)=(C/c)*(R/r) Therefore, R/r=C/c.
@sourabhsahu2001
3 жыл бұрын
IF C/R=Constant (let's π)...why C=πR (constant). Who else agrees
@mihir_666
Жыл бұрын
This explanation is wrong. Because when n tends to infinity, all the triangles will become a straight lines
@danksamosa3952
4 жыл бұрын
How is it a regular polygon
@MathQuantum
4 жыл бұрын
We have chosen to create regular polygons inside these two concentric circles to present the argument.
@danksamosa3952
4 жыл бұрын
@@MathQuantum all sides are equal in a regular polygon.
@rifatzehra6546
4 жыл бұрын
Please tell me that how OA/Oa = AB/Ab at 3:24 . Correct is OA / Oa = OB / Ob......why u have written AB / Ab?? Reply me soon otherwise i will kept disliked this video....tell me correct then i will like your video.
@MathQuantum
4 жыл бұрын
Did you follow my argument that triangles OAB and Oab are similar triangles? Once we establish that, then we use the property that the ratio of corresponding sides of two similar triangles are equal and therefore: OA / Oa = OB / Ob = AB / ab.
@crackeddnutt6617
3 жыл бұрын
Rifat bro you are dumb. Please learn some basic math😂😂
@harishkothari7441
3 жыл бұрын
Explanation is wrong
@vinitsoni7361
5 жыл бұрын
bakwas 😐😓😣😴😫
@crackeddnutt6617
3 жыл бұрын
Yes bro. He just proved it for two circles which share similar center. That is not a proof for all the circles. 🙏🙏🙏 Misleading. 😂😂😂 Irony #Vinit Soni You dumb bro
@portalopener7759
4 ай бұрын
More information saying that traditional Pi = 3.141592653589793 is false part 3 - kloka: Any circle can be squared by using just compass and straight edge alone when using the real value of Pi = 4/√φ = 3.144605511029693144. After you have measured a circle with a 1 meter diameter to find the exact value of Pi for yourself the next stage is to square the circle to further prove that 4/√φ = 3.144605511029693144 is the real and true value for Pi. If you have a given circle and you want to create a square with a perimeter that has the same measure as the curvature of the circle then just use your calculator and divide the diameter of the circle by the square root of the Golden ratio = √φ = 1.272019649514069 and you will automatically have the width of a square that has a perimeter with the same exact measure as the curvature of the circle. Multiply Pi = 4/√φ = 3.144605511029693144 times the diameter of the circle to confirm that the circumference of the circle is the same exact measure as the perimeter of the square. To get the second quadrature of the circle just use the square root of the square root of the Golden ratio = √√φ = 1.127838485561682 by dividing the diameter of given circle to get the width of a square with the same surface area as the given circle. Please remember that the ratio √√φ = 1.127838485561682 is the square root of the ratio √φ = 1.272019649514069 and the ratio √φ = 1.272019649514069 is the square root of the Golden ratio of cosine (36 degrees) multiplied by 2 = (φ) = (√(5) plus 1)/2 = 1.618033988749895. The real value of pi is NOT transcendental because the real value of Pi = 4/√φ = 3.144605511029693144 is the only value of pi that can fit the following polynomial equation: 4th dimensional equation/polynomial for Golden Pi = 4/√φ = 3.144605511029693144 Minimal polynomial: x4 + 16x2 - 256 = 0. www.tiger-algebra.com/drill/x~4-16x~2-256=0/ The real value of Pi = 4/√φ = 3.144605511029693144: Please copy and paste the following link into your web browser if you cannot click onto the following link: www.wolframalpha.com/input/?i=4+divided+by+the+square+root+of+the+golden+ratio Please click on the red dots in the following link to confirm that the real value of Pi = 4/√φ = 3.1446 is not transcendental. The real value of pi = 4/√φ = 3.144605511029693144. Minimal polynomial: x4 + 16x2 - 256 = 0 www.wolframalpha.com/input/?i=x4+%2b+16x2+%e2%80%93+256+%3d+0
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