Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/xc4x80ryabhaxe1xb9xadas_sine_table> ?p ?o }
Showing triples 1 to 55 of
55
with 100 triples per page.
- xc4x80ryabhaxe1xb9xadas_sine_table abstract "Āryabhaṭa's sine table is a set of twenty-four numbers given in the astronomical treatise Āryabhaṭīya composed by the fifth century Indian mathematician and astronomer Āryabhaṭa (476–550 CE), for the computation of the half-chords of certain set of arcs of a circle. It is not a table in the modern sense of a mathematical table; that is, it is not a set of numbers arranged into rows and columns.Āryabhaṭa's table is also not a set of values of the trigonometric sine function in a conventional sense; it is a table of the first differences of the values of trigonometric sines expressed in arcminutes, and because of this the table is also referred to as Āryabhaṭa's table of sine-differences.Āryabhaṭa's table was the first sine table ever constructed in the history of mathematics. The now lost tables of Hipparchus (c.190 BC – c.120 BC) and Menelaus (c.70–140 CE) and those of Ptolemy (c.AD 90 – c.168) were all tables of chords and not of half-chords.Āryabhaṭa's table remained as the standard sine table of ancient India. There were continuous attempts to improve the accuracy of this table. These endeavors culminated in the eventual discovery of the power series expansions of the sine and cosine functions by Madhava of Sangamagrama (c.1350 – c.1425), the founder of the Kerala school of astronomy and mathematics, and the tabulation of a sine table by Madhava with values accurate to seven or eight decimal places.Some historians of mathematics have argued that the sine table given in Āryabhaṭiya was an adaptation of earlier such tables constructed by mathematicians and astronomers of ancient Greece. David Pingree, one of America's foremost historians of the exact sciences in antiquity, was an exponent of such a view. Assuming this hypothesis, G. J. Toomer writes, \"Hardly any documentation exists for the earliest arrival of Greek astronomical models in India, or for that matter what those models would have looked like. So it is very difficult to ascertain the extent to which what has come down to us represents transmitted knowledge, and what is original with Indian scientists. ... The truth is probably a tangled mixture of both.\"".
- xc4x80ryabhaxe1xb9xadas_sine_table thumbnail Arc_and_chord.svg?width=300.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageID "26459760".
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageLength "13017".
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageOutDegree "45".
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageRevisionID "706364136".
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Arabic_numerals.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Aryabhata.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Aryabhatiya.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Bhaskara_Is_sine_approximation_formula.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Category:Indian_mathematics.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Category:Trigonometry.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Chord_(geometry).
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink David_Pingree.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Degree_(angle).
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Devanagari.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Finite_difference.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Gerald_J._Toomer.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Hipparchus.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink History_of_mathematics.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink ISO_15919.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Indian_mathematics.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Jyā,_koti-jyā_and_utkrama-jyā.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Kerala_school_of_astronomy_and_mathematics.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Madhava_of_Sangamagrama.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Madhava_series.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Madhavas_sine_table.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Menelaus_of_Alexandria.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Minute_and_second_of_arc.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Pi.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Ptolemy.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Ptolemys_table_of_chords.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Trigonometric_functions.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink Āryabhaṭa_numeration.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLink File:Arc_and_chord.svg.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLinkText "Arayabhatta's Sin table".
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLinkText "sinusoidal functions".
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageWikiLinkText "Āryabhaṭa's sine table".
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageUsesTemplate Template:Center.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageUsesTemplate Template:Contains_Indic_text.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageUsesTemplate Template:Reflist.
- xc4x80ryabhaxe1xb9xadas_sine_table wikiPageUsesTemplate Template:Use_dmy_dates.
- xc4x80ryabhaxe1xb9xadas_sine_table subject Category:Indian_mathematics.
- xc4x80ryabhaxe1xb9xadas_sine_table subject Category:Trigonometry.
- xc4x80ryabhaxe1xb9xadas_sine_table hypernym Set.
- xc4x80ryabhaxe1xb9xadas_sine_table type Redirect.
- xc4x80ryabhaxe1xb9xadas_sine_table comment "Āryabhaṭa's sine table is a set of twenty-four numbers given in the astronomical treatise Āryabhaṭīya composed by the fifth century Indian mathematician and astronomer Āryabhaṭa (476–550 CE), for the computation of the half-chords of certain set of arcs of a circle.".
- xc4x80ryabhaxe1xb9xadas_sine_table label "Āryabhaṭa's sine table".
- xc4x80ryabhaxe1xb9xadas_sine_table sameAs Q8079604.
- xc4x80ryabhaxe1xb9xadas_sine_table sameAs आर्यभट_की_ज्या_सारणी.
- xc4x80ryabhaxe1xb9xadas_sine_table sameAs m.0bbv2_r.
- xc4x80ryabhaxe1xb9xadas_sine_table sameAs Q8079604.
- xc4x80ryabhaxe1xb9xadas_sine_table wasDerivedFrom xc4x80ryabhaxe1xb9xadas_sine_table?oldid=706364136.
- xc4x80ryabhaxe1xb9xadas_sine_table depiction Arc_and_chord.svg.
- xc4x80ryabhaxe1xb9xadas_sine_table isPrimaryTopicOf xc4x80ryabhaxe1xb9xadas_sine_table.
