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- Q17490207 subject Q7008970.
- Q17490207 abstract "Ming Antu's infinite series expansion of trigonometric functions. Ming Antu, a court mathematician of the Qing dynasty did extensive work on infinite series expansion of trigonometric functions in his masterpiece Geyuan Milv Jifa(Quick Method of Dissecting the Circle and Determination of The Precise Ratio of the Circe). Ming Antu built geometrical models based on a major arc of a circle and nth dissection of the major arc. In Fig 1, AE is the major chord of arc ABCDE, and AB, BC, CD, DE are its nth equal segments. If chord AE = y, chord AB = BC = CD = DE = x, find chord y as infinite series expansion of chord x. He studied the cases of n = 2, 3, 4, 5, 10, 100, 1000 and 10000 in great detail in vol 3 and vol 4 of Geyuan Milv Jifa.".
- Q17490207 thumbnail Ming_Antu_model2.png?width=300.
- Q17490207 wikiPageWikiLink Q10899270.
- Q17490207 wikiPageWikiLink Q251702.
- Q17490207 wikiPageWikiLink Q270513.
- Q17490207 wikiPageWikiLink Q4294055.
- Q17490207 wikiPageWikiLink Q7008970.
- Q17490207 wikiPageWikiLink Q8733.
- Q17490207 wikiPageWikiLink Q935.
- Q17490207 comment "Ming Antu's infinite series expansion of trigonometric functions. Ming Antu, a court mathematician of the Qing dynasty did extensive work on infinite series expansion of trigonometric functions in his masterpiece Geyuan Milv Jifa(Quick Method of Dissecting the Circle and Determination of The Precise Ratio of the Circe). Ming Antu built geometrical models based on a major arc of a circle and nth dissection of the major arc.".
- Q17490207 label "Ming Antu's infinite series expansion of trigonometric functions".
- Q17490207 depiction Ming_Antu_model2.png.
