Spherical law of cosines: Revision history

4 October 2024

• curprev 02:5502:55, 4 October 2024 OlliverWithDoubleL talk contribs 7,981 bytes +96 converted newline formulas to <math> block display for alignment undo

21 August 2024

• curprev 23:1123:11, 21 August 2024 Buster79 talk contribs 7,885 bytes −4,578 Delete incorrect proof "Third proof" (consider the step "Since this identity is valid for any arc angles": if this is valid, then the proof works for any three arc lengths a, b, c and dihedral angle A, which is absurd). It would be nice to see a correct proof along the same lines: the rotations should be through angles 2a, 2b, 2c, and the step "The composition of these three rotations will form an identity transformation" needs to be justified. See, e.g., Penrose "Road to Reality" §11.4. undo

14 February 2024

• curprev 01:3601:36, 14 February 2024 Citation bot talk contribs 12,463 bytes +31 Altered pages. Added bibcode. Formatted dashes. | Use this bot. Report bugs. | Suggested by Abductive | Category:Wikipedia articles needing clarification from January 2024 | #UCB_Category 298/962 undo

28 January 2024

• curprev 19:5119:51, 28 January 2024 Quantling talk contribs 12,432 bytes +110 →Third proof: In general, v to v does not necessarily mean no rotation. Why does it mean it here? undo

16 October 2023

• curprev 21:4221:42, 16 October 2023 Manoguru talk contribs 12,322 bytes +3 →Third proof: gmr undo

14 June 2023

• curprev 18:5618:56, 14 June 2023 Sbb talk contribs 12,319 bytes +331 replaced colon-indented <math> with <math display="block">; moved trailing punctuation after inline <math> into math block to prevent line wrapping before punctuation (by SublimeText.Mediawiker) undo

20 May 2023

• curprev 10:0810:08, 20 May 2023 Hu741f4 talk contribs 11,988 bytes −4 →History undo Tags: Mobile edit Mobile web edit
• curprev 10:0710:07, 20 May 2023 Hu741f4 talk contribs 11,992 bytes +466 →Planar limit: small angles: Adding relevant content from history section of Law of cosines undo Tags: Mobile edit Mobile web edit

10 May 2023

• curprev 16:0616:06, 10 May 2023 Manoguru talk contribs 11,526 bytes +4 →Third proof: missing word undo

28 February 2023

• curprev 16:1016:10, 28 February 2023 Toadspike talk contribs 11,522 bytes −17 Changing short description from "Relation between the sides and angles of spherical triangles." to "Mathematical relation in spherical triangles" undo Tag: Shortdesc helper

30 December 2022

• curprev 16:0416:04, 30 December 2022 Jacobolus talk contribs m 11,539 bytes 0 drop 'theorem' from short description undo
• curprev 03:1003:10, 30 December 2022 Pingku talk contribs 11,539 bytes +84 Adding short description: "Theorem relating the sides and angles of spherical triangles." undo Tag: Shortdesc helper

16 November 2022

• curprev 22:3022:30, 16 November 2022 Manoguru talk contribs 11,455 bytes +20 →Third proof: sign correction undo

10 November 2022

• curprev 11:0011:00, 10 November 2022 Manoguru talk contribs 11,435 bytes +19 →Third proof: correction undo
• curprev 10:3810:38, 10 November 2022 Manoguru talk contribs 11,416 bytes +1,344 →Third proof: proof for sine law too. but this may not be the proper place for it. undo
• curprev 09:3209:32, 10 November 2022 Manoguru talk contribs 10,072 bytes 0 →Third proof: oops... undo
• curprev 09:3109:31, 10 November 2022 Manoguru talk contribs 10,072 bytes +209 →Third proof: ref undo
• curprev 08:0008:00, 10 November 2022 Manoguru talk contribs 9,863 bytes +3 →Third proof: point -> vector undo
• curprev 07:3107:31, 10 November 2022 Manoguru talk contribs 9,860 bytes +1 →Third proof: missed a full stop undo
• curprev 07:2807:28, 10 November 2022 Manoguru talk contribs 9,859 bytes +144 →Proofs: for the sake of completeness, what u, v, w mean undo
• curprev 07:2207:22, 10 November 2022 Manoguru talk contribs 9,715 bytes −115 →Third proof: my first attempt on the third proof was a bit erroneous. using the rotation sequence explicitly for less confusion undo

9 November 2022

• curprev 23:1323:13, 9 November 2022 Jacobolus talk contribs m 9,830 bytes +42 →Third proof undo
• curprev 23:1023:10, 9 November 2022 Jacobolus talk contribs 9,788 bytes +198 →Third proof: add source (Brand 1947) for the quaternion-based proof undo
• curprev 19:3819:38, 9 November 2022 Manoguru talk contribs 9,590 bytes +9 →Third proof: typo: bold face undo
• curprev 19:1219:12, 9 November 2022 Manoguru talk contribs 9,581 bytes +4 →Third proof: link undo
• curprev 19:1019:10, 9 November 2022 Manoguru talk contribs 9,577 bytes +2,418 →Proofs: proof using quaternions and euler's formula undo

22 April 2021

• curprev 23:1423:14, 22 April 2021 Apocheir talk contribs 7,159 bytes +29 →See also: +Spherical law of sines undo Tag: 2017 wikitext editor

11 March 2021

• curprev 12:4612:46, 11 March 2021 TripleShortOfACycle talk contribs m 7,130 bytes +4 Add link to intro. undo Tag: Visual edit

10 July 2019

• curprev 01:4101:41, 10 July 2019 GreenC bot talk contribs 7,126 bytes −20 Rescued 1 archive link. Wayback Medic 2.5 undo

31 March 2019

• curprev 22:3022:30, 31 March 2019 89.107.5.192 talk 7,146 bytes +211 →Planar limit: small angles undo

5 July 2018

• curprev 21:5321:53, 5 July 2018 138.254.133.84 talk 6,935 bytes +6 →Rearrangements undo

30 April 2018

• curprev 10:1410:14, 30 April 2018 2a02:1810:3821:f700:e572:3eff:b02a:9134 talk 6,929 bytes −3 No edit summary undo
• curprev 10:1310:13, 30 April 2018 2a02:1810:3821:f700:e572:3eff:b02a:9134 talk 6,932 bytes +2 No edit summary undo
• curprev 10:1310:13, 30 April 2018 2a02:1810:3821:f700:e572:3eff:b02a:9134 talk 6,930 bytes −2 No edit summary undo

20 February 2018

• curprev 15:1115:11, 20 February 2018 64.132.59.226 talk 6,932 bytes −2,984 →Proofs: WP:BRD Eliminating two proofs; please see the talk page. undo

13 February 2018

• curprev 15:5115:51, 13 February 2018 64.132.59.226 talk 9,916 bytes +22 →Third proof: Passive rotation instead of active rotation undo
• curprev 15:3715:37, 13 February 2018 64.132.59.226 talk 9,894 bytes +43 Wikilink to spherical triangle dual undo
• curprev 15:1715:17, 13 February 2018 64.132.59.226 talk 9,851 bytes +82 →Third proof: Clarify what spherical coordinates means undo

6 February 2018

• curprev 14:2914:29, 6 February 2018 64.132.59.226 talk 9,769 bytes +290 →Proofs: Help Proofs 3 & 4 be stand alone by not relying on definitions introduced within Proof 1. undo
• curprev 14:0814:08, 6 February 2018 64.132.59.226 talk 9,479 bytes −8 →Fourth proof: Split run-on sentence in two undo

26 January 2018

• curprev 16:2316:23, 26 January 2018 64.132.59.226 talk 9,487 bytes +52 →Planar limit: small angles: It is better to write a^4 + b^4 than a(b^3) + (a^3)b undo
• curprev 16:0716:07, 26 January 2018 64.132.59.226 talk 9,435 bytes −71 →Fourth proof: Consistent use of the math template undo
• curprev 15:5715:57, 26 January 2018 64.132.59.226 talk 9,506 bytes +21 →Fourth proof: Ordering the contributions by the order they appear in the immediately preceding string of equalities. undo

7 December 2017

• curprev 14:0314:03, 7 December 2017 64.132.59.226 talk 9,485 bytes +18 →Fourth proof: mention dot products too undo

30 October 2017

• curprev 04:5804:58, 30 October 2017 KolbertBot talk contribs m 9,467 bytes +1 Bot: HTTP→HTTPS (v475) undo

16 July 2017

• curprev 00:3200:32, 16 July 2017 Deacon Vorbis talk contribs m 9,466 bytes −4 →Planar limit: small angles: LaTeX spacing clean up, replaced: \,\!</math> → </math> using AWB undo

24 June 2017

• curprev 05:1905:19, 24 June 2017 Mesospheric talk contribs m 9,470 bytes +10 →First proof undo

16 December 2016

• curprev 20:4120:41, 16 December 2016 Leegrc talk contribs 9,460 bytes +371 →Fourth proof: supporting information undo
• curprev 20:2220:22, 16 December 2016 Leegrc talk contribs 9,089 bytes +494 →Fourth proof: new section undo

5 December 2016

• curprev 18:4118:41, 5 December 2016 Leegrc talk contribs 8,595 bytes +62 →Rearrangements: notation reminder undo