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Show new changes starting from 01:46, 2 June 2024
 
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1 June 2024

31 May 2024

  • diffhist m Brahmagupta‎ 22:26 −116‎ ‎Yue talk contribs‎ (Reverted edit by 63.153.141.228 (talk) to last version by RegentsPark) Tag: Rollback
  • diffhist Brahmagupta‎ 21:49 +116‎ ‎63.153.141.228 talk‎ (→‎Early concept of gravity (a laughable presentism shoehorning "gravity" into the following text, which has nothing to do with alleged gravity)) Tags: Reverted Mobile edit Mobile web edit
  • diffhist Ptolemy‎ 21:10 0‎ ‎Knowledgegatherer23 talk contribs‎ (Reverted 1 pending edit by Vauvan to revision 1223379288 by ClueBot NG: no source) Tag: Manual revert
  • diffhist Ptolemy‎ 20:50 0‎ ‎Vauvan talk contribs‎ (→‎Astrology: Incorrect reference to source Vs translated languages) Tags: Reverted Mobile edit Mobile app edit Android app edit
  • diffhist Brahmagupta‎ 14:35 +25,533‎ ‎RegentsPark talk contribs‎ (Restored revision 1226557934 by Egsan Bacon (talk): Rvt) Tags: Twinkle Undo
  • diffhist Brahmagupta‎ 14:06 −36‎ ‎103.190.8.224 talk‎ (Citations Pickover, Clifford (2008). Archimedes to Hawking: Laws of Science and the Great Minds Behind Them. Oxford University Press. p. 105. ISBN 978-0-19-979268-9. Bose, Mainak Kumar (1988). Late classical India. A. Mukherjee & Co.[page needed] Sen, Amartya (2005). The Argumentative Indian. Allen Lane. p. 29. ISBN 978-0-7139-9687-6. Thurston, Hugh (1993). Early Astronomy. New York: Springer-Verlag. ISBN 978-0-387-94107-3.[page needed][failed verification] Bradley, Michael. The Birth of M) Tags: Reverted section blanking Visual edit Mobile edit Mobile web edit
  • diffhist Brahmagupta‎ 14:03 −1,931‎ ‎103.190.8.224 talk‎ (In chapter seven of his Brāhmasphuṭasiddhānta, entitled Lunar Crescent, Brahmagupta rebuts the idea that the Moon is farther from the Earth than the Sun. [clarification needed] He does this by explaining the illumination of the Moon by the Sun. 1. If the moon were above the sun, how would the power of waxing and waning, etc., be produced from calculation of the longitude of the moon? The near half would always be bright. 2. In the same way that the half seen by the sun of a pot standing in su) Tags: Reverted Visual edit Mobile edit Mobile web edit
  • diffhist Brahmagupta‎ 14:02 −1,391‎ ‎103.190.8.224 talk‎ (The earth on all its sides is the same; all people on the earth stand upright, and all heavy things fall down to the earth by a law of nature, for it is the nature of the earth to attract and to keep things, as it is the nature of water to flow ... If a thing wants to go deeper down than the earth, let it try. The earth is the only low thing, and seeds always return to it, in whatever direction you may throw them away, and never rise upwards from the earth.) Tags: Reverted references removed Visual edit Mobile edit Mobile web edit
  • diffhist Brahmagupta‎ 14:01 −2,108‎ ‎103.190.8.224 talk‎ (2.2–5. The sines: The Progenitors, twins; Ursa Major, twins, the Vedas; the gods, fires, six; flavors, dice, the gods; the moon, five, the sky, the moon; the moon, arrows, suns [...] Here Brahmagupta uses names of objects to represent the digits of place-value numerals, as was common with numerical data in Sanskrit treatises. Progenitors represents the 14 Progenitors ("Manu") in Indian cosmology or 14, "twins" means 2, "Ursa Major" represents the seven stars of Ursa Major or 7, "Vedas" refers t) Tags: Reverted Visual edit Mobile edit Mobile web edit
  • diffhist Brahmagupta‎ 14:00 −1,208‎ ‎103.190.8.224 talk‎ (After giving the value of pi, he deals with the geometry of plane figures and solids, such as finding volumes and surface areas (or empty spaces dug out of solids). He finds the volume of rectangular prisms, pyramids, and the frustum of a square pyramid. He further finds the average depth of a series of pits. For the volume of a frustum of a pyramid, he gives the "pragmatic" value as the depth times the square of the mean of the edges of the top and bottom faces, and he gives the "superficial" v) Tags: Reverted Visual edit Mobile edit Mobile web edit
  • diffhist Brahmagupta‎ 14:00 −1,501‎ ‎103.190.8.224 talk‎ (Brahmagupta continues, 12.23. The square-root of the sum of the two products of the sides and opposite sides of a non-unequal quadrilateral is the diagonal. The square of the diagonal is diminished by the square of half the sum of the base and the top; the square-root is the perpendicular [altitudes]. So, in a "non-unequal" cyclic quadrilateral (that is, an isosceles trapezoid), the length of each diagonal is √pr + qs. He continues to give formulas for the lengths and areas of geometric figur) Tags: Reverted Visual edit Mobile edit Mobile web edit
  • diffhist Brahmagupta‎ 13:59 −1,223‎ ‎103.190.8.224 talk‎ (12.21. The approximate area is the product of the halves of the sums of the sides and opposite sides of a triangle and a quadrilateral. The accurate [area] is the square root from the product of the halves of the sums of the sides diminished by [each] side of the quadrilateral. So given the lengths p, q, r and s of a cyclic quadrilateral, the approximate area is p + r/2 · q + s/2 while, letting t = p + q + r + s/2, the exact area is √(t − p)(t − q)(t − r)(t − s). Although Brahmagupta does not) Tags: Reverted references removed Visual edit Mobile edit Mobile web edit
  • diffhist Brahmagupta‎ 13:58 −2,844‎ ‎103.190.8.224 talk‎ (Using his identity and the fact that if (x1, y1) and (x2, y2) are solutions to the equations x2 − Ny2 = k1 and x2 − Ny2 = k2, respectively, then (x1x2 + Ny1y2, x1y2 + x2y1) is a solution to x2 − Ny2 = k1k2, he was able to find integral solutions to Pell's equation through a series of equations of the form x2 − Ny2 = ki. Brahmagupta was not able to apply his solution uniformly for all possible values of N, rather he was only able to show that if x2 − Ny2 = k has an integer solution for k = ±1, ±2) Tags: Reverted references removed Visual edit Mobile edit Mobile web edit
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