삼각함수의 역사

수학노트
Pythagoras0 (토론 | 기여)님의 2020년 12월 28일 (월) 02:29 판
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개요



삼각함수 표의 역사



표만들기 기술



톨레미 '알마게스트'

인도의 삼각함수



이슬람에서의 발전



동아시아의 삼각함수



유럽의 삼각함수

  • 레티쿠스
  • 피티스쿠스



푸리에

  • 1807


연표



메모

Ptolemy was well aware of the new possibilities, because finding the distance between two stars was equivalent to measuring an arc of a circle, and he adapted the spherical geometry for use with tables of chords. http://nrich.maths.org/6853&part=

Of course, many of the astronomical calculations Ptolemy needed to perform concerned the angular distances between celestial bodies or, in other words, the positions of bodies on a spherical surface, for which spherical trigonometry is appropriate. Here, too, Ptolemy could use his table of chords.

While many new aspects of trigonometry were being discovered, the chord, sine, versine and cosine were developed in the investigation of astronomical problems, and conceived of as properties of angles at the centre of the heavenly sphere. In contrast, tangent and cotangent properties were derived from the measurement of shadows of a gnomon and the problems of telling the time. http://nrich.maths.org/6908&part=



The sine formula for spherical triangleswas used to good effect by the famous Islamic scholar al-B¯ır¯un¯ı with his solution to the qibla problem, this being to determine the direction in which Mecca was closest from a given location on the Earth, i.e. along a great circle



시간과 주기운동 http://en.wikipedia.org/wiki/Atomic_clock

http://en.wikipedia.org/wiki/Spring_%28device%29

시계종류 : sundial, water, divisional time, pendulum, quartz, atomic clock http://www.youtube.com/watch?v=4T8uyD0AvzI



관련된 항목들



수학용어번역



사전 형태의 자료


관련논문



관련도서

  • Glen Van Brummelen, The Mathematics of the Heavens and the Earth: The Early History of Trigonometry (Princeton University Press, 2009).
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