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| Date | 2019-01-03 14:05 -0800 |
| References | (4 earlier) <3cf20288-147d-4634-a38d-3eaef9ecaf58@googlegroups.com> <63486e3c-76c4-40cf-ac65-06be484dbae0@googlegroups.com> <d846854a-c035-4657-ae12-7c8b3e3a0cf9@googlegroups.com> <27c35f5c-b1cd-4551-bed7-86159bc8da47@googlegroups.com> <7bb630a5-6cc0-441e-94ce-1d676d171c47@googlegroups.com> |
| Message-ID | <70b5a7fa-94f5-4293-8564-e3657bb13187@googlegroups.com> (permalink) |
| Subject | percentages Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) |
| From | Archimedes Plutonium <plutonium.archimedes@gmail.com> |
On Thursday, January 3, 2019 at 1:16:09 AM UTC-6, Archimedes Plutonium wrote: > Alright so far I have data on just two ellipses, and wanting to start percentage formula. Mind you the case of 1/137 is not yet resolved as to whether it is a universal constant of ellipses. But rather than just sit around I move on to percentages, the percentage of the unique square inside the ellipse and the maximum rectangle inside the ellipse. > > The 10by8ellipse > > Semimajor axis = 10 > Semiminor axis = 8 > Foci distance from center = 6 using formula F^2 = semimajor axis^2 - semiminor axis^2 > Circumference = 56.7 > Area = 251.3 > Interior Square 12.2by12.2 from .0072*56.7 = .40; area = 148.8, perimeter = 48.8 > Interior Maximum Rectangle 15.6by10 from .0072*251.3 = 1.80; area = 156, perimeter = 51.2 > Exterior Rectangle 20by16 area=320, perimeter = 72 > > So some percentages so far would be ellipse area to exterior rectangle 251.3/320 = 78% > ellipse area to interior rectangle 156/251.3 = 62% > ellipse perimeter to exterior rectangle perimeter 56.7/72 = 78% nice match > ellipse perimeter to interior rectangle 51.2/56.7 = 90% > interior rectangle area to exterior rectangle area 156/320 = 48% > interior rectangle perimeter to exterior rectangle perimeter 51.2/72 = 71% > square area to interior rectangle area 148.8/156 = 95% > square perimeter to interior rectangle perimeter 48.8/51.2 = 95% nice match > The 5by2ellipse Semimajor axis = 5 Semiminor axis = 2 Foci distance from center = 4.58 using formula F^2 = semimajor axis^2 - semiminor axis^2 Circumference = 23.013 Area = 31.416 Interior Square 3.67by3.67 from .0072*23.013 = .165; area = 13.46, perimeter = 14.68 Interior Maximum Rectangle 8.1by2.6 from .0072*31.416 = .22; area = 21.06, perimeter = 21.4 Exterior Rectangle 10by4 area=40, perimeter = 28 So some percentages so far would be ellipse area to exterior rectangle 31.41/40 = 78% ellipse area to interior rectangle 21.06/31.4 = 66% ellipse perimeter to exterior rectangle perimeter 23/28 = 82% ellipse perimeter to interior rectangle 21.4/23 = 93% interior rectangle area to exterior rectangle area 21.06/40 = 52% interior rectangle perimeter to exterior rectangle perimeter 21.4/28 = 76% square area to interior rectangle area 13.46/21.06 = 63% square perimeter to interior rectangle perimeter 14.68/21.4 = 68% AP
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AP's thoughts as of 2JAN2019// big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-02 08:11 -0800
Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2019-01-02 18:09 +0000
Re: AP's thoughts as of 2JAN2019// big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Me <franz.fritschee.ff@gmail.com> - 2019-01-02 13:11 -0800
skinny ellipses to see if formula is truly universal Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-02 14:28 -0800
doubts about fetching the unique square Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-02 14:32 -0800
long skinny ellipses Re: doubts about fetching the unique square Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-02 15:42 -0800
Approx Square = Minor axis - (distance from focus to endpoint) Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-02 18:16 -0800
Re: Approx Square = Minor axis - (distance from focus to endpoint) Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-02 20:58 -0800
correct my mixup and is square 64% of ellipse maximum rectangle Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-02 21:53 -0800
Re: correct my mixup and is square 64% of ellipse maximum rectangle Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-02 21:57 -0800
percentage table so far Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-02 23:16 -0800
Re: percentage table so far Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Me <franz.fritschee.ff@gmail.com> - 2019-01-03 04:53 -0800
percentages Re: big big breakthrough in ellipse with a universal constant 1/137 (the fine structure of physics) Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-01-03 14:05 -0800
Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2019-01-07 00:17 +0000
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