Ellipse: Revision history

9 January 2021

• curprev 20:2720:27, 9 January 2021‎ imported>Mark Widmer‎ 23,360 bytes +23,360‎ Revised "circle" links to go to Circle_(mathematics), rather than disambig page.

1 October 2013

• curprev 05:4905:49, 1 October 2013‎ imported>Meg Taylor‎ 23,339 bytes +4,008‎ No edit summary

29 August 2013

• curprev 06:0406:04, 29 August 2013‎ imported>John Stephenson‎ m 23,346 bytes 0‎ moved Ellipse/Draft to Ellipse: citable version policy

29 July 2010

• curprev 15:2615:26, 29 July 2010‎ imported>Hayford Peirce‎ m 23,346 bytes +267‎ Ellipse moved to Ellipse/Draft

27 July 2010

• curprev 03:5503:55, 27 July 2010‎ imported>Peter Schmitt‎ m 23,346 bytes −1‎ →‎Second degree equation: degenerated --> degenerate

26 July 2010

• curprev 16:0416:04, 26 July 2010‎ imported>Peter Schmitt‎ 23,347 bytes +268‎ →‎Second degree equation: make explicit: not degenerated
• curprev 14:1914:19, 26 July 2010‎ imported>Peter Schmitt‎ 23,313 bytes +49‎ →‎Proof: Part 1 and 2
• curprev 14:1114:11, 26 July 2010‎ imported>Peter Schmitt‎ 23,264 bytes +185‎ →‎Proof: argument added
• curprev 13:5113:51, 26 July 2010‎ imported>Peter Schmitt‎ 23,079 bytes +3,748‎ →‎Second degree equation: conic section
• curprev 13:4613:46, 26 July 2010‎ imported>Peter Schmitt‎ 23,071 bytes +1,196‎ →‎Proof: oops
• curprev 09:2009:20, 26 July 2010‎ imported>Peter Schmitt‎ 23,071 bytes +120‎ →‎Proof: distance of points is written PQ not |PQ|m and mathrm
• curprev 09:1309:13, 26 July 2010‎ imported>Peter Schmitt‎ m 22,951 bytes −2‎ typo
• curprev 09:1009:10, 26 July 2010‎ imported>Peter Schmitt‎ 22,953 bytes +34‎ lower bound for d
• curprev 09:0609:06, 26 July 2010‎ imported>Peter Schmitt‎ 22,919 bytes +22‎ moving extreme cases to end of introduction
• curprev 08:3908:39, 26 July 2010‎ imported>Peter Schmitt‎ 22,897 bytes +133‎ →‎Algebraic form: changed to characterization
• curprev 08:3008:30, 26 July 2010‎ imported>Peter Schmitt‎ 22,764 bytes +889‎ →‎Algebraic form: other direction
• curprev 04:0604:06, 26 July 2010‎ imported>Peter Schmitt‎ 21,929 bytes +54‎ formatting, and a -> b

25 July 2010

• curprev 19:2819:28, 25 July 2010‎ imported>Peter Schmitt‎ 21,924 bytes +2‎ →‎Proof: less confusing so, I hope
• curprev 18:4218:42, 25 July 2010‎ imported>Peter Schmitt‎ 21,922 bytes +47‎ add brief justification, and rm an "l" from elllipse
• curprev 18:3218:32, 25 July 2010‎ imported>Peter Schmitt‎ 21,875 bytes +2,544‎ →‎Gardener's construction: correct names of foci
• curprev 18:3118:31, 25 July 2010‎ imported>Peter Schmitt‎ 21,899 bytes −64‎ →‎Second degree equation: rm accidental link to license ....
• curprev 18:2818:28, 25 July 2010‎ imported>Peter Schmitt‎ 21,960 bytes −2‎ →‎Proof: swap interchanged < and > / rm space
• curprev 18:2418:24, 25 July 2010‎ imported>Peter Schmitt‎ 21,962 bytes −1‎ →‎Second degree equation: rearranging a display, remove "."
• curprev 18:1718:17, 25 July 2010‎ imported>Peter Schmitt‎ 21,963 bytes −2‎ →‎Eccentricity: spurious "e"
• curprev 18:1418:14, 25 July 2010‎ imported>Peter Schmitt‎ 21,965 bytes +12‎ →‎Eccentricity: missing index
• curprev 18:1118:11, 25 July 2010‎ imported>Peter Schmitt‎ 21,953 bytes −8‎ →‎Conic section: two words too much
• curprev 18:0818:08, 25 July 2010‎ imported>Peter Schmitt‎ 21,961 bytes +1,599‎ missing )

24 July 2010

• curprev 14:2314:23, 24 July 2010‎ imported>Peter Schmitt‎ 21,960 bytes −1‎ →‎Proof: repairing statement
• curprev 14:1214:12, 24 July 2010‎ imported>Peter Schmitt‎ 21,961 bytes +160‎ →‎Proof: general necessity
• curprev 09:1909:19, 24 July 2010‎ imported>Peter Schmitt‎ 21,801 bytes +332‎ →‎Proof: necessary if determinant not zero
• curprev 08:3108:31, 24 July 2010‎ imported>Peter Schmitt‎ 21,469 bytes +57‎ →‎Proof
• curprev 06:5806:58, 24 July 2010‎ imported>Peter Schmitt‎ 21,412 bytes +5‎ →‎Proof: appearance of formula
• curprev 06:5106:51, 24 July 2010‎ imported>Peter Schmitt‎ 21,407 bytes +982‎ →‎Proof: separating sufficiency and necessity : sufficient
• curprev 06:2106:21, 24 July 2010‎ imported>Peter Schmitt‎ 21,480 bytes +105‎ →‎Polar representation relative to focus: exception e=1
• curprev 05:3405:34, 24 July 2010‎ imported>Peter Schmitt‎ 21,448 bytes +73‎ →‎Algebraic form: exception: line segment
• curprev 05:2705:27, 24 July 2010‎ imported>Peter Schmitt‎ 21,375 bytes +382‎ →‎Eccentricity: extreme cases
• curprev 05:2205:22, 24 July 2010‎ imported>Peter Schmitt‎ 21,197 bytes +204‎ →‎Conic section: partial rewrite
• curprev 04:3804:38, 24 July 2010‎ imported>Peter Schmitt‎ 21,073 bytes +80‎ point
• curprev 04:2404:24, 24 July 2010‎ imported>Peter Schmitt‎ m 20,993 bytes 0‎ axes/axis
• curprev 04:1604:16, 24 July 2010‎ imported>Peter Schmitt‎ m 20,993 bytes +568‎ No edit summary
• curprev 04:1504:15, 24 July 2010‎ imported>Peter Schmitt‎ m 20,994 bytes +15‎ formattin
• curprev 04:1304:13, 24 July 2010‎ imported>Peter Schmitt‎ 20,979 bytes +554‎ extreme cases

23 July 2010

• curprev 19:1419:14, 23 July 2010‎ imported>Peter Schmitt‎ 20,425 bytes +33‎ →‎Second degree equation: adding concise condition
• curprev 19:0619:06, 23 July 2010‎ imported>Peter Schmitt‎ 20,392 bytes +7‎ →‎Proof: some copyedits
• curprev 18:5318:53, 23 July 2010‎ imported>Peter Schmitt‎ 20,385 bytes +38‎ →‎Polar representation relative to focus: describing g
• curprev 18:4618:46, 23 July 2010‎ imported>Peter Schmitt‎ 20,347 bytes −15‎ →‎Algebraic form: removed brackets

21 July 2010

• curprev 19:4119:41, 21 July 2010‎ imported>Peter Schmitt‎ m 20,362 bytes +14‎ →‎Proof: formatting
• curprev 19:3919:39, 21 July 2010‎ imported>Peter Schmitt‎ m 20,348 bytes −1‎ →‎Proof: ell already defined
• curprev 19:3419:34, 21 July 2010‎ imported>Peter Schmitt‎ 20,349 bytes +192‎ →‎Second degree equation
• curprev 19:2519:25, 21 July 2010‎ imported>Peter Schmitt‎ 20,157 bytes +340‎ →‎Second degree equation: continue
• curprev 19:0019:00, 21 July 2010‎ imported>Peter Schmitt‎ 20,121 bytes +304‎ →‎Proof
• curprev 18:2818:28, 21 July 2010‎ imported>Peter Schmitt‎ 19,817 bytes −76‎ →‎Proof: partially rewritten
• curprev 08:1408:14, 21 July 2010‎ imported>Peter Schmitt‎ 19,893 bytes +169‎ →‎Algebraic form: formatting: shorter lines in displays
• curprev 07:5807:58, 21 July 2010‎ imported>Peter Schmitt‎ m 19,724 bytes 0‎ →‎Eccentricity: typo ( ! to 1 )
• curprev 07:5307:53, 21 July 2010‎ imported>Peter Schmitt‎ m 19,724 bytes 0‎ →‎Second degree equation
• curprev 07:5207:52, 21 July 2010‎ imported>Peter Schmitt‎ 19,724 bytes +26‎ →‎Second degree equation: rewriting the introduction
• curprev 05:0405:04, 21 July 2010‎ imported>Peter Schmitt‎ 19,698 bytes +367‎ →‎Proof: finished rearrangement
• curprev 04:4804:48, 21 July 2010‎ imported>Peter Schmitt‎ 19,643 bytes +14‎ →‎Proof: continue
• curprev 04:4404:44, 21 July 2010‎ imported>Peter Schmitt‎ 19,629 bytes +95‎ →‎Proof: continued
• curprev 04:3804:38, 21 July 2010‎ imported>Peter Schmitt‎ 19,534 bytes +192‎ →‎Algebraic form: rearranging calculation
• curprev 04:1004:10, 21 July 2010‎ imported>Peter Schmitt‎ 19,342 bytes +84‎ →‎Eccentricity: slightly rewrite of calculation
• curprev 04:0104:01, 21 July 2010‎ imported>Peter Schmitt‎ 19,258 bytes +42‎ →‎Eccentricity: for more clarity: distinguish special choice of P by index (P_1)

20 July 2010

• curprev 15:4815:48, 20 July 2010‎ imported>Peter Schmitt‎ 19,216 bytes +187‎ reference to astronomy

19 July 2010

• curprev 12:4112:41, 19 July 2010‎ imported>Peter Schmitt‎ 19,125 bytes +96‎ →‎Conic section: replacing the change by Boris

10 July 2010

• curprev 14:0914:09, 10 July 2010‎ imported>Boris Tsirelson‎ 19,029 bytes −46‎ →‎Conic section: "less than, or equal to, 90^°" ?? It cannot be otherwise, at all

9 July 2010

• curprev 18:3218:32, 9 July 2010‎ imported>Peter Schmitt‎ m 19,075 bytes −4‎ →‎Gardener's construction: one "the" too many
• curprev 18:3118:31, 9 July 2010‎ imported>Peter Schmitt‎ m 19,079 bytes −252‎ →‎Gardener's construction: its F_1F_2C

18 June 2010

• curprev 19:0819:08, 18 June 2010‎ imported>Daniel Mietchen‎ 19,055 bytes −276‎ transclusions

27 May 2010

• curprev 19:0319:03, 27 May 2010‎ imported>Peter Schmitt‎ 19,331 bytes +541‎ →‎Proof: add an r^2 as explanation
• curprev 18:5818:58, 27 May 2010‎ imported>Peter Schmitt‎ m 19,325 bytes −5‎ →‎Proof
• curprev 18:4318:43, 27 May 2010‎ imported>Peter Schmitt‎ 19,330 bytes −28‎ →‎Gardener's construction: fixing the description of the construction
• curprev 13:1213:12, 27 May 2010‎ imported>Peter Schmitt‎ m 19,362 bytes +4‎ copy edit : the -> their / brackets in formula
• curprev 09:1609:16, 27 May 2010‎ imported>Daniel Mietchen‎ 19,358 bytes 0‎ image size
• curprev 09:1209:12, 27 May 2010‎ imported>Daniel Mietchen‎ 19,358 bytes +568‎ transclusions for homepage

8 May 2010

• curprev 18:1618:16, 8 May 2010‎ imported>Peter Schmitt‎ 19,082 bytes +5‎ change to initial order
• curprev 17:5517:55, 8 May 2010‎ imported>Peter Schmitt‎ 19,086 bytes +9‎ →‎Second degree equation: copy edit (some clarification)
• curprev 17:2717:27, 8 May 2010‎ imported>Peter Schmitt‎ 19,077 bytes +43‎ →‎Second degree equation: copyedit
• curprev 17:0917:09, 8 May 2010‎ imported>Peter Schmitt‎ 19,034 bytes +236‎ →‎Eccentricity: copyedit
• curprev 07:1107:11, 8 May 2010‎ imported>Paul Wormer‎ 18,982 bytes +189‎ →‎Second degree equation: rm matrix eq, so that result can be understood without knowledge of matrices
• curprev 07:0707:07, 8 May 2010‎ imported>Peter Schmitt‎ m 18,828 bytes −5‎ →‎Second degree equation: fixing
• curprev 07:0507:05, 8 May 2010‎ imported>Peter Schmitt‎ 18,833 bytes +38‎ →‎Second degree equation: copyedit, changing E to I for the identity matrix (E is already used), and making the last sentence clearer
• curprev 06:2006:20, 8 May 2010‎ imported>Paul Wormer‎ m 18,795 bytes +2‎ →‎Second degree equation: larger font

7 May 2010

• curprev 18:5518:55, 7 May 2010‎ imported>Peter Schmitt‎ 18,793 bytes −20‎ →‎Proof: copy edit, replacing unicode bb A
• curprev 18:4418:44, 7 May 2010‎ imported>Peter Schmitt‎ m 18,795 bytes −18‎ →‎Second degree equation: blackboard bold defined by character code did not display on my browser
• curprev 18:2918:29, 7 May 2010‎ imported>Peter Schmitt‎ 18,799 bytes −12‎ →‎Proof: replacin bb A by bf Q and bb R by bf R : blackboardbold is not usual for variables, and bb R is used for the reals.
• curprev 17:5917:59, 7 May 2010‎ imported>Peter Schmitt‎ m 18,811 bytes −2‎ →‎Proof: copyedit
• curprev 17:5217:52, 7 May 2010‎ imported>Peter Schmitt‎ m 18,813 bytes −18‎ →‎Polar representation relative to focus: replacing "equiv"
• curprev 16:3916:39, 7 May 2010‎ imported>Peter Schmitt‎ m 18,831 bytes +4‎ →‎Trammel construction: blue-red (not blue)
• curprev 04:4104:41, 7 May 2010‎ imported>Paul Wormer‎ m 18,827 bytes +3‎ No edit summary
• curprev 04:3604:36, 7 May 2010‎ imported>Paul Wormer‎ m 18,824 bytes −1‎ →‎Polar representation relative to focus
• curprev 04:3204:32, 7 May 2010‎ imported>Paul Wormer‎ 18,825 bytes +27‎ →‎Proof: definition symbols introduced (instead of equiv)
• curprev 04:2104:21, 7 May 2010‎ imported>Paul Wormer‎ 18,813 bytes −5‎ →‎Second degree equation: definition symbol
• curprev 04:1704:17, 7 May 2010‎ imported>Paul Wormer‎ 18,818 bytes +3‎ I believe that the symbol := is non-symmetric (at least in computer languages it is)
• curprev 04:1104:11, 7 May 2010‎ imported>Paul Wormer‎ 18,815 bytes +17‎ →‎Eccentricity: <nowiki> in template added

6 May 2010

• curprev 18:5718:57, 6 May 2010‎ imported>Peter Schmitt‎ m 18,798 bytes +8‎ →‎Gardener's construction: copy edit
• curprev 17:0817:08, 6 May 2010‎ imported>Peter Schmitt‎ m 18,787 bytes −3‎ →‎Eccentricity: copyedit
• curprev 16:5816:58, 6 May 2010‎ imported>Peter Schmitt‎ 18,804 bytes +14‎ →‎Conic section: TOC
• curprev 16:5316:53, 6 May 2010‎ imported>Peter Schmitt‎ 18,790 bytes +18,790‎ copyedit
• curprev 16:2016:20, 6 May 2010‎ imported>Peter Schmitt‎ 18,790 bytes +41‎ copyedits

5 May 2010

• curprev 06:1106:11, 5 May 2010‎ imported>Paul Wormer‎ 18,749 bytes +91‎ →‎Second degree equation
• curprev 06:0706:07, 5 May 2010‎ imported>Paul Wormer‎ 18,658 bytes +797‎ →‎Proof

4 May 2010

• curprev 10:4610:46, 4 May 2010‎ imported>Daniel Mietchen‎ 18,441 bytes +9‎ →‎Conic section
• curprev 10:1710:17, 4 May 2010‎ imported>Paul Wormer‎ 18,432 bytes +571‎ →‎Notes
• curprev 10:1210:12, 4 May 2010‎ imported>Paul Wormer‎ 18,432 bytes +571‎ →‎Proof
• curprev 10:0610:06, 4 May 2010‎ imported>Paul Wormer‎ 18,432 bytes +302‎ No edit summary
• curprev 09:3409:34, 4 May 2010‎ imported>Paul Wormer‎ 18,130 bytes +269‎ →‎Second degree equation
• curprev 09:1509:15, 4 May 2010‎ imported>Paul Wormer‎ 17,861 bytes +8,937‎ →‎Second degree equation
• curprev 08:3008:30, 4 May 2010‎ imported>Paul Wormer‎ 15,686 bytes +2,745‎ →‎Polar representation relative to focus

3 May 2010

• curprev 08:2708:27, 3 May 2010‎ imported>Paul Wormer‎ 12,941 bytes −33‎ →‎Trammel construction
• curprev 08:2308:23, 3 May 2010‎ imported>Paul Wormer‎ 12,940 bytes −367‎ →‎Trammel construction: simplified "proof"

2 May 2010

• curprev 14:2914:29, 2 May 2010‎ imported>Howard C. Berkowitz‎ 13,307 bytes +135‎ Trammel point
• curprev 07:1907:19, 2 May 2010‎ imported>Paul Wormer‎ 13,185 bytes +13‎ →‎Gardener's construction
• curprev 07:0207:02, 2 May 2010‎ imported>Paul Wormer‎ 13,172 bytes +198‎ →‎Eccentricity
• curprev 06:2206:22, 2 May 2010‎ imported>Paul Wormer‎ 13,183 bytes +209‎ No edit summary
• curprev 05:2305:23, 2 May 2010‎ imported>Paul Wormer‎ 13,177 bytes +203‎ →‎Reference
• curprev 05:1705:17, 2 May 2010‎ imported>Paul Wormer‎ 12,974 bytes +4,050‎ →‎Trammel device

1 May 2010

• curprev 08:3708:37, 1 May 2010‎ imported>Paul Wormer‎ 11,774 bytes +1,920‎ No edit summary
• curprev 07:1607:16, 1 May 2010‎ imported>Paul Wormer‎ 11,475 bytes +1,621‎ →‎Reference
• curprev 04:2804:28, 1 May 2010‎ imported>Paul Wormer‎ 9,854 bytes +330‎ No edit summary
• curprev 01:0201:02, 1 May 2010‎ imported>Paul Wormer‎ 9,553 bytes +29‎ →‎Proof
• curprev 01:0101:01, 1 May 2010‎ imported>Paul Wormer‎ 9,524 bytes +600‎ →‎Conic section

30 April 2010

• curprev 10:2410:24, 30 April 2010‎ imported>Paul Wormer‎ 8,924 bytes +8,924‎ →‎Polar representation relative to focus
• curprev 09:5809:58, 30 April 2010‎ imported>Paul Wormer‎ 8,798 bytes 0‎ No edit summary
• curprev 09:5609:56, 30 April 2010‎ imported>Paul Wormer‎ 8,798 bytes +827‎ No edit summary
• curprev 09:0409:04, 30 April 2010‎ imported>Paul Wormer‎ 7,999 bytes +28‎ No edit summary
• curprev 07:2507:25, 30 April 2010‎ imported>Paul Wormer‎ 7,971 bytes +7,971‎ →‎Polar representation relative to focus
• curprev 07:2307:23, 30 April 2010‎ imported>Paul Wormer‎ 7,928 bytes +3,631‎ →‎Polar representation
• curprev 06:4706:47, 30 April 2010‎ imported>Paul Wormer‎ 7,910 bytes +203‎ →‎Proof
• curprev 06:3706:37, 30 April 2010‎ imported>Paul Wormer‎ 7,890 bytes +142‎ →‎Eccentricity
• curprev 05:0305:03, 30 April 2010‎ imported>Paul Wormer‎ 7,748 bytes +41‎ →‎Eccentricity
• curprev 04:5704:57, 30 April 2010‎ imported>Paul Wormer‎ 7,707 bytes +3,410‎ No edit summary
• curprev 04:1004:10, 30 April 2010‎ imported>Paul Wormer‎ 7,715 bytes +29‎ →‎Eccentricity
• curprev 04:0704:07, 30 April 2010‎ imported>Paul Wormer‎ 7,686 bytes −119‎ →‎Proof
• curprev 03:5603:56, 30 April 2010‎ imported>Paul Wormer‎ 7,805 bytes +3,508‎ No edit summary

29 April 2010

• curprev 12:2312:23, 29 April 2010‎ imported>Paul Wormer‎ 6,714 bytes +2,417‎ →‎Eccentricity
• curprev 08:2708:27, 29 April 2010‎ imported>Paul Wormer‎ 4,297 bytes +4,297‎ No edit summary
• curprev 06:2606:26, 29 April 2010‎ imported>Paul Wormer‎ 2,617 bytes +103‎ No edit summary
• curprev 03:1203:12, 29 April 2010‎ imported>Paul Wormer‎ 2,617 bytes +103‎ No edit summary

28 April 2010

• curprev 11:1711:17, 28 April 2010‎ imported>Paul Wormer‎ 2,514 bytes +2,514‎ No edit summary
• curprev 09:2609:26, 28 April 2010‎ imported>Paul Wormer‎ 1,117 bytes +1,117‎ New page: {{subpages}} {{Image|Ellipse1.png|right|350px|Fig. 1. Ellipse. The sum of the lengths of the two red line segments (ending in P₁) is equal to the sum of the lengths of the two ...