June 30th, 2017, 05:16 PM  #1 
Banned Camp Joined: Jul 2010 Posts: 118 Thanks: 0  A new idea in geometry
Since it is impossible to prove, that the ratio of diameters of two circles = the ratio of the circumference of these two circles, A new geometric has been created. What is your opinion ? Sincerely Aetzbar The Pi revolution By Aetzbar New Geometry of Circles, Which has a unique Pi to each Diameter. The new geometry, has a new Formula Pi of D = 3.1416 + root of ( 0.0000003 : D ) D is the Diameter of a circle, above 0.001 mm The new formula produces the following numbers of pi D of Circle (mm) Unique Pi 0 3.164 (pi maximum) 0.001 3.1589205 0.01 3.1470772 0.1 3.1433321 1 3.1421477 10 3.1417732 100 3.1416548 1000 3.1416173 1000000 3.1416005 10000000 3.1416002 1000000000000… 3.1416 (pi minimum) The Pi revolution According to the conventional mathematics, Pi of each D = 3.1416 There for, it is very important number. According to the new geometry of circles, There are two important numbers. Pi minimum = 3.1416 Pi maximum = 3.164 Between pi minimum to pi maximum, there is a unique pi to each D Pi of D = 3.1416 + root of ( 0.0000003 : D ) 
June 30th, 2017, 06:05 PM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,659 Thanks: 652 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan  
June 30th, 2017, 07:54 PM  #3  
Math Team Joined: Dec 2013 From: Colombia Posts: 7,031 Thanks: 2342 Math Focus: Mainly analysis and algebra  Quote:
The rest of your post is just some stuff you've made up. I guess you did so because you take a strictly practical approach to measuring circles, but you can't know that your physical circles are actually circles  in fact they can't be. A circle is a mathematical ideal with a strict definition and that ideal gives rise to the constant $\pi$.  
June 30th, 2017, 08:36 PM  #4  
Senior Member Joined: May 2016 From: USA Posts: 823 Thanks: 335  Quote:
A lot of nonsense arises because we teach nothing about the history of mathematics. Of course, the whole idea of public education in the US today is to make sure that people feel good about being ignorant. Admittedly, I also think that the Platonist metaphysics of some mathematicians gets in the way of teaching mathematics to those of a practical bent. I'd be a lot more explicit that many mathematical "objects" have no physical reality that can be verified empirically. Whether or not they are "real" metaphysically, they act as simplifications that greatly assist logical thought and, to the degree that we can physically measure, result in fairly simple experimental "laws" of physics. Last edited by JeffM1; June 30th, 2017 at 08:40 PM.  
June 30th, 2017, 10:30 PM  #5 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,659 Thanks: 652 Math Focus: Wibbly wobbly timeywimey stuff.  
June 30th, 2017, 10:44 PM  #6 
Banned Camp Joined: Jul 2010 Posts: 118 Thanks: 0  pi belongs to physics, not to mathematics
Already many years ago math decided, that the ratio of diameter to diameter = to the ratio of circumference to circumference. This decision created a fixed pi, but pi is changing. A variable pi belongs to physics , not to math. thanks http://img2.timg.co.il/forums/2/2357...506e265a07.pdf 
July 1st, 2017, 12:59 AM  #7 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,031 Thanks: 2342 Math Focus: Mainly analysis and algebra  No it isn't. It is defined as the ratio of a circle's circumference to it's diameter and we know that that is fixed. Physicists find that the usual value of Pi give much more accurate results than the errors that would be introduced by your fanciful ideas. 
July 1st, 2017, 01:57 AM  #8 
Banned Camp Joined: Jul 2010 Posts: 118 Thanks: 0  I know my idea is very strange , but it's true.
I know my idea is very strange , but it's true. To make it easy to handle circles, you have to agree. The ratio of diameters of two circles = their ratio of circumference. Each measurement confirms this consent. Only a very precise measurement will disprove this agreement. And this idea I present. Thanks 
July 1st, 2017, 02:00 AM  #9  
Senior Member Joined: Jun 2015 From: England Posts: 695 Thanks: 199  Quote:
Quote:
Today we recognise Pi as a respectable number on the number line in its own right. As such it is indeed a constant, just as is any other real number. Yes, Aetzbar, in such circumstances, it remains to prove that this number represents the ratio of the circumference to the diameter for all circles. But, as has already been pointed out, this was proved by the ancient Greeks for Euclidian Geometry. But Geometry, like the rest of maths, has marched onwards and we now know that there are many geometries for which Pi does not represent this ratio, for a variety of reasons. Two such circumstances would be the intrinsic curvature of manifolds and the application of projective geometry. The Physics of Einstein tells us that our universe is not Euclidian and that circles vary in their appearance, due both to the so called curvature of spacetime and relative velocities. Even classical Physics has its oddities. The Science of Geodesy refers to measuring the Geometry of the Earth, as it is not a perfect Euclidian sphere for a variety of physical reasons. But what is the 'shape of the Earth' ? The land surface? The fluid surface? The surface defined by points of equal gravity? The surface defined by points of equal magnetic field? They are all different. So Aetzbar, a whole universe of discovery and wonder awaits you out there in both maths and physics. I suggest you don't waste it running down a blind alley. Last edited by studiot; July 1st, 2017 at 02:23 AM.  
July 1st, 2017, 02:29 AM  #10 
Banned Camp Joined: Jul 2010 Posts: 118 Thanks: 0  The tiny ineqality
You're right 2000 years Academy recites that the ratio of diameters to two circles exactly equal to their ratio of circumference . The truth is ... the ratio is not exactly equal This tiny inequality, only accurate measurement can detect Such a measurement appears in an article I have attached Thanks 

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