21. BRAHMAGUPTA brahmagupta 598 660 Indian Mathematician brahmagupta was the mostaccomplished of the ancient Indian astronomers. His great work http://www.hyperhistory.com/online_n2/people_n2/persons4_n2/brahma.html

BRAHMAGUPTA 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 : From the University of St. Andrews, Scotland School of Mathematics Biography

22. 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. http://www.mathpages.com/home/kmath196.htm

Heron's Formula and Brahmagupta's Generalization 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

23. 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

Brahmagupta's Problem 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 Home Place an order

24. Brahmagupta. The Columbia Encyclopedia, Sixth Edition. 2001 The Columbia Encyclopedia, Sixth Edition. 2001. brahmagupta. (brä´´mg p´t ) (KEY) , c.598–c.660, Indian mathematician and astronomer. http://www.bartleby.com/65/br/Brahmagu.html

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

25. 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

Branch of Science Astronomers Branch of Science Mathematicians ... Barile Brahmagupta (ca. 598-ca. 665) 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

26. 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 . http://www.mala.bc.ca/~mcneil/brahma1.htm

Brahmagupta (598-668) [The Concept of "zero"] Great Books Biography [Malaspina] Amazon Search Form] Library of Canada Online Citations [NLC] Library of Congress Online Citations [LC] Library of Congress Offline Citations [MGB] COPAC UK Online Citations [COPAC] Free Online Practice Exams [Grad Links] Canadian Book Orders! Chapters-Indigo Save on Textbooks! [Study Abroad] Used Books Search Form Alibris Dummies Books Amazon EBay! Ebay Indian Mathematics Alibris Additional Biography [MacTutor, St. Andrews] Short Comment [Cal Tech] History of Mathematics in India [Clark University] Brahmagupta's Formula University of Georgia Top of Page

27. 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. http://www.mala.bc.ca/~mcneil/cit/citlcbrahma.htm

Brahmagupta (598-668) : Library of Congress Citations 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

28. FG200102index KRS Sastry, brahmagupta Quadrilaterals, Abstract The Indian mathematicianbrahmagupta made valuable contributions to mathematics and astronomy. http://forumgeom.fau.edu/FG2002volume2/FG200221index.htm

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.

29. Brahmagupta - Anagrams Rearranging the letters of brahmagupta gives 'Up math! A brag?'! www.AnagramGenius.comRearranging the letters of 'brahmagupta' (Mathematician) gives Up math! http://www.anagramgenius.com/archive/brahma.html

Rearranging the letters of 'Brahmagupta' (Mathematician) gives: Up math! A brag? (by Mike Mesterton-Gibbons by hand) (FREE!) Download FREE anagram-generating software for your Windows computer Instructions for linking to this page! Learn about the Anagram Genius software (Windows/MacOS) Search the Archive Add YOUR anagrams to the Archive! League table of top contributors Find anagram aliases of brahmagupta (or any other text)! Find gold service anagrams of brahmagupta (or any other text)! Anagram Genius Archive Main Index Anagram Gems Mailing List Anagram Genius Archive India Index www.anagramgenius.com home page Crossword Maestro for Windows . The world's first expert system for solving crossword clues! Click here for more information or to download. William Tunstall-Pedoe . See this page for other points concerning brahmagupta.

30. ThinkQuest Library Of Entries brahmagupta(ca.628) and BHASKARA(1114ca.1185). brahmagupta was themost prominent Hindu mathematician of the seventh century. He http://library.thinkquest.org/22584/temh3025.htm

Welcome to the ThinkQuest Internet Challenge of Entries 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 ... Mathematics History click here to view this site A ThinkQuest Internet Challenge 1998 Entry 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. Students Hyun-jin Jae-yun Hwang(Seoul Yo Sang) Korea, South Kyung-sun Jae-yun Hwang(Seoul Yo Sang) Korea, South So-young Jae-yun Hwang(Seoul Yo Sang) Korea, South

31. 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),. http://library.thinkquest.org/20991/gather/formula/data/207.html

Welcome to the ThinkQuest Internet Challenge of Entries 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 ... Math for Morons like Us click here to view this site A ThinkQuest Internet Challenge 1998 Entry 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. Students J. Robert Davis High School Library UT, United States

32. 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. http://mathforum.org/library/view/5275.html

Brahmagupta's Formula Library Home Full Table of Contents Suggest a Link Library Help 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 Suggestion Box ... Search http://mathforum.org/ webmaster@mathforum.org

33. Brahmagupta a topic from mathhistory-list brahmagupta. post a message on thistopic post a message on a new topic 2 Dec 1999 brahmagupta, by http://mathforum.org/epigone/math-history-list/phixquixclix

a topic from math-history-list Brahmagupta post a message on this topic post a message on a new topic 2 Dec 1999 Brahmagupta , by Heral Patel 2 Dec 1999 Re: Brahmagupta , by Sherman Stein 2 Dec 1999 Re: Brahmagupta , by David Wilkins 2 Dec 1999 Re: Brahmagupta , by Randy K. Schwartz 3 Dec 1999 Re: Brahmagupta , by David Wilkins The Math Forum

34. Brahmagupta's Formula - WebCalc brahmagupta's Formula. Solving for Area Side A Side B Side C Side D http://www.webcalc.net/calc/0021.php

Saturday March 29th Site Choices Home Main Menu About Webcalc Comments ... Help Brahmagupta's Formula Solving for Area Side A: Side B: Side C: Side D:

35. 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. http://www.webcalc.net/calc/0021_help.php

Saturday March 29th Site Choices Home Main Menu About Webcalc Comments ... Help Brahmagupta's Formula Under Construction

36. 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

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.

37. Brahmagupta Click here to visit our sponsor brahmagupta. 598AD 670AD. Startyour search on brahmagupta. Other educational search engines http://www.virtualology.com/virtualpubliclibrary/hallofeducation/Mathematics/bra

You are in: Virtual Public Library Hall of Education Mathematics Brahmagupta Brahmagupta Start your search on Brahmagupta Other educational search engines: Ask Jeeves for Kids Britannica.com CyberSleuth Kids Education World ... Yahooligans Unauthorized Site: This site and its contents are not affiliated, connected, associated with or authorized by the individual, family, friends, or trademarked entities utilizing any part or the subject’s entire name. Any official or affiliated sites that are related to this subject will be hyper linked below upon submission and Virtualology's review. 2000 by Virtualology TM . All rights reserved. Virtualology TM Search: About Us e-mail us Editing Sponsor Editing Sponsors review and select all student work for publishing. To learn more about our editing sponsor program click here. Published Students Primary Secondary College Graduate ... Technical

38. Brahmagupta brahmagupta c.598c.660, Hindu mathematician and astronomer. He brahmagupta.c.598-c.660, Hindu mathematician and astronomer. He http://www.slider.com/enc/8000/Brahmagupta.htm

trellian ftp Home Encyclopeadia B Bou - Bra ... Rope Ladders Trellian WebPage Slider Search: The Web Encyclopaedia Shopping Index Help Encyclopaedia 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. Add URL Advertise Contact Us

39. Record Brahmagupta Type GEO Key brahmagupta. prooftype, equational, deduction. vars, x0,x1, x2, x3, x4. CRef, PROBLEMS/Geometry/brahmagupta = problem description. http://www.symbolicdata.org/SD_HTML/Data/GEO/Brahmagupta.html?sl

40. Record Geometry/Brahmagupta Type PROBLEMS Key Geometry/brahmagupta. keywords, geometry theoremproving. problem, Let $ABCD$ be a cyclic quadrilateral. Determine http://www.symbolicdata.org/SD_HTML/Data/PROBLEMS/Geometry/Brahmagupta.html?fr

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 2     21-40 of 92    Back | 1  | 2  | 3  | 4  | 5  | Next 20