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- ...hapter 11 of Ptolemy's ''Almagest'',<ref name=toomer>{{Citation|title=Ptolemy's Almagest|last1=Toomer|first1=G. J.|author-link=Gerald J. Toomer|publisher ...rd]] of a [[circle]] is a line segment whose endpoints are on the circle. Ptolemy used a circle whose diameter is 120 parts. He tabulated the length of ...16 KB (2,284 words) - 01:19, 24 December 2024
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- ...ices together with <math>P</math> form a concyclic quadrilateral and hence Ptolemy's theorem yields: ...2 KB (321 words) - 10:43, 14 March 2023
- ...'s table of chords|his table of chords]].<ref name=toomer>{{Citation|title=Ptolemy's Almagest|last1=Toomer|first1=G. J.|authorlink=Gerald J. Toomer|publisher= ...3 KB (506 words) - 05:30, 11 February 2025
- * [[Ptolemy's table of chords]] ...1 KB (228 words) - 15:46, 25 March 2021
- {{Short description|Graphs whose distances obey Ptolemy's inequality}} ...ed after the [[Roman Greece|Greek]] [[astronomer]] and [[mathematician]] [[Ptolemy]]. The Ptolemaic graphs are exactly the graphs that are both [[chordal grap ...7 KB (1,012 words) - 18:05, 3 December 2024
- ...hapter 11 of Ptolemy's ''Almagest'',<ref name=toomer>{{Citation|title=Ptolemy's Almagest|last1=Toomer|first1=G. J.|author-link=Gerald J. Toomer|publisher ...rd]] of a [[circle]] is a line segment whose endpoints are on the circle. Ptolemy used a circle whose diameter is 120 parts. He tabulated the length of ...16 KB (2,284 words) - 01:19, 24 December 2024
- ...the Greek astronomer and geographer [[Ptolemy]] in his work ''[[Geography (Ptolemy)|Geography]]''.{{sfn|Snyder|1987|p=111}}{{sfn|Snyder|1993|pp=10-11}} ...5 KB (691 words) - 01:01, 1 September 2024
- *[[Ptolemy's theorem]] on the sides and diagonals of quadrilaterals inscribed in circl ...6 KB (784 words) - 21:57, 2 April 2024
- ...rkali]] in the eleventh century. The earliest written description of it is Ptolemy's ''[[Planisphaerium]]'', which calls it the "planisphere projection". ...6 KB (876 words) - 22:47, 22 September 2024
- ===Using Ptolemy's theorem=== [[Image:Ptolemy cos.svg|thumb|right|Proof of law of cosines using Ptolemy's theorem]] ...38 KB (6,063 words) - 08:13, 23 February 2025
- ...sides is obtained directly when combining [[Cyclic quadrilateral#Diagonals|Ptolemy's theorem]] and the formula for the [[Orthodiagonal quadrilateral#Area|area ...17 KB (2,311 words) - 08:58, 5 January 2025
- === Ptolemy's theorem === {{Main|Ptolemy's theorem}} ...83 KB (12,653 words) - 18:25, 18 February 2025
- ...the history of [[Ptolemy]]'s [[Almagest]]. It also goes into details of [[Ptolemy's Theorem]]. Animation shows how sines and cosines relate to [[Simple harmo ...25 KB (3,262 words) - 09:23, 8 January 2025
- *[[Ptolemy's table of chords]] ...19 KB (2,105 words) - 19:53, 10 February 2024
- ...cience'', 2nd Ed., The Gale Group (2002)</ref> The Greeks focused on the [[Ptolemy's table of chords|calculation of chords]], while mathematicians in India cr ...e by two.) Centuries passed before more detailed tables were produced, and Ptolemy's treatise remained in use for performing trigonometric calculations in ast ...50 KB (7,134 words) - 04:00, 2 February 2025
- ...and compiles a [[star catalog]] of about 850 entries.<ref>Alexander Jones "Ptolemy in Perspective: Use and Criticism of his Work from Antiquity to the Ninetee ...|url=https://archive.org/details/nortonhistoryofa0000nort/page/115}}</ref> Ptolemy emphasised that the epicycle motion does not apply to the Sun. His main con ...65 KB (9,721 words) - 13:09, 16 February 2025
- * [[Ptolemy's theorem]] ...25 KB (3,388 words) - 18:24, 7 February 2025
- ...ient [[Emission theory (vision)|emission theory of vision]] supported by [[Ptolemy]] and [[Euclid]] (in which the eyes emit the rays of light used for seeing) ...nd the road to it is rough. ...<ref>Alhazen (Ibn Al-Haytham) ''Critique of Ptolemy'', translated by S. Pines, ''Actes X Congrès internationale d'histoire des ...21 KB (3,185 words) - 23:34, 17 September 2023
- ...33: "Almost everything we know about Hipparchus comes down to us by way of Ptolemy."</ref> ...35 KB (5,241 words) - 04:54, 31 January 2025
- This is known as [[Ptolemy's intense diatonic scale]]. Here the row headed "Natural" expresses all the ...38 KB (5,344 words) - 07:25, 15 August 2024
- ...e definitive Arabic versions of the works of [[Euclid]], [[Archimedes]], [[Ptolemy]], [[Autolycus]], and [[Theodosius of Bithynia]].<ref name="H. Daiber, F.J. ...f the heliocentric model in the time of [[Nicolaus Copernicus]]. Between [[Ptolemy]] and [[Copernicus]], he is considered by many{{who|date=April 2014}} to be ...55 KB (7,890 words) - 10:45, 4 February 2025