Geometry.Net - Scientists: Brahmagupta

BRAHMAGUPTA
brahmagupta 598 660 Indian Mathematician brahmagupta was the mostaccomplished of the ancient Indian astronomers. His great work
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Extractions: Indian Mathematician Brahmagupta was the most accomplished of the ancient Indian astronomers. His great work 'The Opening of the Universe' is written in verse form. Brahmagupta introduced strict rules for calculations with Zero, wrote about quadratic equations, and he wrote a table for sinus calculations. He also dealt with lunar eclipses, planetary conjunctions, and the determination of the positions of the planets. www link :
Heron's Formula And Brahmagupta's Generalization
Heron's Formula and brahmagupta's Generalization. It's tempting to think that brahmaguptamight have just imagined the equation based on its formal symmetry.
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Extractions: Let a,b,c be the sides of a triangle, and let A be the area of the triangle. Heron's formula states that A^2 = s(s-a)(s-b)(s-c), where s = (a+b+c)/2. The actual origin of this formula is somewhat obscure historically, and it may well have been known for centuries prior to Heron. For example, some people think it was known to Archimedes. However, the first definite reference we have to this formula is Heron's. His proof of this result is extremely circuitious, and it seems clear that it must have been found by an entirely different thought process, and then "dressed up" in the usual synthetic form that the classical Greeks preferred for their presentations. Here's a much more straightforward derivation. Consider the general triangle with edge lengths a,b,c shown below Heron's Formula For Tetrahedrons Return to MathPages Main Menu
Brahmagupta's Theorem
brahmagupta's Problem. brahmagupta was a Hindu mathematician of the seventh centuryAD who discovered a neat formula for the area of a cyclic quadrilateral.
http://www.mth.uct.ac.za/~digest/brahmagupta.html

Extractions: Brahmagupta was a Hindu mathematician of the seventh century AD who discovered a neat formula for the area of a cyclic quadrilateral. If the side lengths are a b c and d , and s a b c d s is the semi-perimeter of the quadrilateral), then the area is given by the formula: The proof of Brahmaghupta's formula requires a good deal of trigonometry embedded in rather a lot of crunchy algebra, so we'll leave it for another day. But it is possible to prove that if a cyclic quadrilateral has perpendicular diagonals crossing at P , the line through P perpendicular to any side bisects the opposite side. Up Next
Brahmagupta. The Columbia Encyclopedia, Sixth Edition. 2001
The Columbia Encyclopedia, Sixth Edition. 2001. brahmagupta. (brä´´mg p´t ) (KEY) , c.598c.660, Indian mathematician and astronomer.
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Extractions: Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Brahmagupta g KEY Brahma-sphuta-siddhanta [improved system of Brahma], a standard work on astronomy containing two chapters on mathematics that were translated into English by H. T. Colebrooke in
Brahmagupta (ca. 598-ca. 665) -- From Eric Weisstein's World Of Scientific Biogr
brahmagupta (ca. 598ca. 665), brahmagupta's mathematics seems to be rooted inthe Greek tradition, the achievements of which he improved and generalized.
http://scienceworld.wolfram.com/biography/Brahmagupta.html

Extractions: This entry contributed by Margherita Barile Hindu astronomer and mathematician who applied algebraic methods to astronomical problems. Brahmagupta's treatise (628, where means "astronomy"), is based on a positional number system, and is the oldest known work where the zero cipher ) appears in arithmetical operations. There, Brahmagupta establishes the rule a a =0, and also considers the fractions x /0, which he sets equal to for x =0 and otherwise calls nought , a term of uncertain meaning. Brahmagupta distinguished twenty arithmetical operations ( logistics ), including the extraction of roots and the solution of proportions, and eight measurements ( determinations ). In this fine classification of mathematical procedures, he also listed four methods for multiplication, and five rules for reducing a rational expression to a single fraction. Brahmagupta's mathematics seems to be rooted in the Greek tradition, the achievements of which he improved and generalized. He established a formula for the area of cyclic quadrilaterals derived from Heron's formula and continued Diophantus' work by characterizing all the solutions of linear congruences, and by proposing the quadratic Diophantine equation which nowadays is known as
Malaspina.com - Brahmagupta (598-668)
Launch Previous Entry in New Window Malaspina Science Database Launch NextEntry in New Window brahmagupta (598668) The Concept of zero .
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Brahmagupta (598-668) Library Of Congress Citations
Rare and Hardto-Find Books from Alibris brahmagupta (598-668) Libraryof Congress Citations The Little Search Engine that Could.
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Extractions: The Little Search Engine that Could Down to Name Citations LC Online Catalog Amazon Search Book Citations [4 Records] Author: Brahmagupta, 7th cent. Title: The Kharnrdakheadyaka (an astronomical treatise) of Brahmagupta; with the commentary of Bhartrtotpala. Edited ... translated [and published] by Bina Chatterjee. Published: [New Delhi]; distributor: World Press, Calcutta [1970] Description: 2 v. 23 cm. LC Call No.: QB18 .B72 Notes: Added t.p.: in Sanskrit. Sanskrit and English: introd. and notes in English. Bibliography: v. 1, p. 309-315. v. 1. Introduction, translation, and mathematical notes.v. 2. Text and commentary. Subjects: Astronomy, Hindu. Other authors: Bhartrtotpala, fl. 950-966. Kharnrdakheadyakavivrrti. Chatterjee, Bina, 1906- ed. Control No.: 78919809 /SA/r91 Author: Brahmagupta, 17th cent. Title: Breahmasphutasiddheanta and dhyeanagrahopadeseadhyeaya [microform] / by Brahmagupta ; edited with his own commentary by Maheamahopeadhyeaya Sudheakara Dvivedin. Published: Benares : Medical Hall Press, 1902. Description: ca. 500 p. LC Call No.: Microfilm 4821(Q) Notes: Title page in Hindi and English. Microfilm. Chicago, Ill. : Dept. of Photographic Reproduction, 1945. 1 microfilm reel : negative ; 35 mm. Other authors: Dvivedin, Maheamahopeadhyeaya Sudheakhara. Control No.: 89893951
FG200102index
KRS Sastry, brahmagupta Quadrilaterals, Abstract The Indian mathematicianbrahmagupta made valuable contributions to mathematics and astronomy.
http://forumgeom.fau.edu/FG2002volume2/FG200221index.htm

Extractions: K. R. S. Sastry, Brahmagupta Quadrilaterals, Forum Geometricorum, 2 (2002) 167173. Abstract: The Indian mathematician Brahmagupta made valuable contributions to mathematics and astronomy. He used Pythagorean triangles to construct general Heron triangles and cyclic quadrilaterals having integer sides, diagonals, and area, i.e., Brahmagupta quadrilaterals. In this paper we describe a new numerical construction to generate an infinte family of Brahmagupta quadrilaterals from a Heron triangle. ps file pdf file Return to Forum Geometricorum, volume 2.
Brahmagupta - Anagrams
Rearranging the letters of brahmagupta gives 'Up math! A brag?'! www.AnagramGenius.comRearranging the letters of 'brahmagupta' (Mathematician) gives Up math!
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ThinkQuest Library Of Entries
brahmagupta(ca.628) and BHASKARA(1114ca.1185). brahmagupta was themost prominent Hindu mathematician of the seventh century. He
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Extractions: The web site you have requested, Mathematics History , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Mathematics History click here Back to the Previous Page The Site you have Requested ... click here to view this site Click image for the Site Languages : Site Desciption An extensive history of mathematics is at your fingertips, from Babylonian cuneiforms to advances in Egyptian geometry, from Mayan numbers to contemporary theories of axiomatical mathematics. You will find it all here. Biographical information about a number of important mathematicians is included at this excellent site.
ThinkQuest Library Of Entries
brahmagupta's Formula. Formula Database Added by Holena on April 27, 2001at 174019 The area of a cyclic quad= the sq. root of (sa)(sb)(sc)(sd),.
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Extractions: The web site you have requested, Math for Morons like Us , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Math for Morons like Us click here Back to the Previous Page The Site you have Requested ... click here to view this site Click image for the Site Languages : Site Desciption Have you ever been stuck on math? If it was a question on algebra, geometry, or calculus, you might want to check out this site. It's all here from pre-algebra to calculus. You'll find tutorials, sample problems, and quizzes. There's even a question submittal section, if you're still stuck. A formula database gives quick access and explanations to all those tricky formulas. Languages: English.
About "Brahmagupta's Formula"
brahmagupta's Formula. Visit this site http//jwilson.coe.uga.edu/emt725/brahmagupta/brahmagupta.html.Author Jim Wilson, Dept. of Mathematics Education, Univ.
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Extractions: Visit this site: http://jwilson.coe.uga.edu/emt725/brahmagupta/brahmagupta.html Author: Jim Wilson, Dept. of Mathematics Education, Univ. of Georgia Description: Problem: Develop a proof for Brahmagupta's Formula, which provides the area A of a cyclic quadrilateral (i.e., a simple quadrilateral inscribed in a circle) with sides of length a, b, c, and d as A = sqrt((s-a)(s-b)(s-c)(s-d)) where s is the semiperimeter (a+b+c+d)/2. There are alternative approaches to this proof. The one outlined here is intuitive and elementary; a more elegant approach is available using trigonometry. From a course on Problem Solving in Mathematics. Levels: College Languages: English Resource Types: Course Notes Math Topics: Conic Sections and Circles Triangles and Other Polygons Trigonometry
Brahmagupta
a topic from mathhistory-list brahmagupta. post a message on thistopic post a message on a new topic 2 Dec 1999 brahmagupta, by
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Brahmagupta's Formula - WebCalc
brahmagupta's Formula. Solving for Area Side A Side B Side C Side D
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Brahmagupta's Formula - WebCalc
Site Choices. Home. Main Menu. About Webcalc. Comments. Legal. Newsletter.Tell a Friend. Help Us. Resources. Help. brahmagupta's Formula. Under Construction.
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Brahmagupta's Formula
brahmagupta's formula provides the area A of a cyclic quadrilateral (ie, a simplequadrilateral that is inscribed in a circle) with sides of length a, b, c
http://mcraefamily.com/MathHelp/GeometryCyclicQuadrilateralBrahmagupta.htm

Extractions: Brahmagupta's formula provides the area A of a cyclic quadrilateral (i.e., a simple quadrilateral that is inscribed in a circle) with sides of length a, b, c, and d as A = sqrt((s-a)(s-b)(s-c)(s-d)), where s is the semiperimeter (a+b+c+d)/2 If the quadrilateral ABCD is a rectangle, then s=a+b, so A=sqrt((b)(a)(b)(a))=ab, so the formula is true. In any cyclic quadrilateral, you can see that opposite angles are supplemental by drawing a diagonal, AC. Angle D subtends the arc ABC, so the measure of angle D is half the measure of arc ABC. Angle B subtends the arc ADC, so the measure of angle B is half the measure of arc ADC. The sum of the measures of arcs ABC and ADC is 360º, so the sum of the measures of angles B and D is 180º. Now, since the quadrilateral is not a rectangle, you can find two sides that aren't parallel. WNLOG, extend AB and DC until they meet at P: Angles BAD and BCD are supplementary, as are angles BAD and PAD, so angle BCD is equal to angle PAD. So triangles PBC and PDA are similar. The ratio of their sides is b/d, so the ratio of their areas is b^2/d^2. Let A be the area of the quadrilateral, and let T be the area of triangle PBC.
Brahmagupta
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Brahmagupta
brahmagupta c.598c.660, Hindu mathematician and astronomer. He brahmagupta.c.598-c.660, Hindu mathematician and astronomer. He
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Extractions: Brahmagupta c.598-c.660, Hindu mathematician and astronomer. He wrote in verse the Brahma-sphuta-siddhanta [improved system of Brahma], a standard work on astronomy containing two chapters on mathematics that were translated into English by H. T. Colebrooke in (1817). A shorter treatise, The Khandakhadyaka (tr. 1934), expounded the astronomical system of Aryabhata.
Record Brahmagupta
Type GEO Key brahmagupta. prooftype, equational, deduction. vars, x0,x1, x2, x3, x4. CRef, PROBLEMS/Geometry/brahmagupta = problem description.
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Record Geometry/Brahmagupta
Type PROBLEMS Key Geometry/brahmagupta. keywords, geometry theoremproving. problem, Let $ABCD$ be a cyclic quadrilateral. Determine
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