61. La Formula Di Brahmagupta Translate this page La formula di brahmagupta. La formula di cui il quesito chiede di precisarela validità è nota come formula di brahmagupta (matematico http://matmedia.ing.unina.it/Concorsi a cattedra/quesiti 11 gennaio 2000/Soluzio

La formula di Brahmagupta La formula di cui il quesito chiede di precisare la validità è nota come formula di Brahmagupta (matematico indiano del VII secolo). Essa vale per i quadrilateri inscrittibili in un cerchio e quindi di un quadrilatero di lati a, b, c e d dà l'area massima. La formula è contenuta nella lista dei risultati più belli Del risultato si riporta la seguente giustificazione, chiara e immediata, tratta da d a Enciclopedia delle matematiche elementari e complementi . Segue dalle formule: le quali danno: sicché il massimo di S si ha quando è minimo cos b d , cioè per b d

62. Brahmagupta Translate this page brahmagupta (598 - 665) Matemático da Índia Central nascido em Ujjain,que demonstrou a solução geral para a equação do segundo http://www.sobiografias.hpg.ig.com.br/Brahmagu.html

63. Mathserv.math.sfu.ca/History_of_Math/India/7thCenturyAD/brahmagupta.html Índice de MATEMÁTICOS Translate this page brahmagupta se sitúa en el siglo VII, en la dinastía Gurjara, enpleno esplendor de la matemática hindú. . . . . Su vida. http://mathserv.math.sfu.ca/History_of_Math/India/7thCenturyAD/brahmagupta.html

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

Brahmagupta anagrams Rearranging the letters of Brahmagupta (Mathematician) gives: Up math! A brag? (by Mike Mesterton-Gibbons by hand) (Click Here!) Download FREE anagram-generating software for your Windows computer Webmasters: make money from your website! 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 Genius Archive India Index www.anagramgenius.com home page William Tunstall-Pedoe . See this page for other points concerning brahmagupta.

65. Elementary Geometry For College Students, 3e brahmagupta s Theorem Heron s Theorem can be treated as a corollary of anothertheorem, brahmagupta s Theorem, which can be used to calculate the area of a http://college.hmco.com/mathematics/alexander/elementary_geometry/3e/students/br

Heron's Theorem Brahmagupta's Theorem Section by Section Objectives How to Study Geometry ... SMARTHINKING Textbook Site for: Elementary Geometry for College Students , Third Edition Daniel C. Alexander, Parkland College Geralyn M. Koeberlein, Mahomet-Seymour High School Brahmagupta's Theorem Heron's Theorem can be treated as a corollary of another theorem, Brahmagupta's Theorem , which can be used to calculate the area of a cyclic quadrilateral. A cyclic quadrilateral is one that is inscribed in a circle; as we saw in Chapter 7, Section 3, not all quadrilaterals are cyclic. The Hindu mathematician Brahmagupta published much of his work around 628 AD. We have provided his theorem and accompanying information to give you a better understanding of his work. Some resources on this page are in PDF format and require Adobe® Acrobat® Reader. You can download the free reader below! For further explanation on how to save or view PDF documents, please see: Downloading and viewing PDF files. Brahmagupta's Theorem NOTE: PC users – Right click on the above link for a list of options to save, open, etc.

66. Fragen Und Anworten Mathematik Seite 2 Translate this page d s=(e+c+d)/2 6,195 I2=sqrt(s*(se)*(sc)*(sd)) 6,598 Gesamtfläche I=I1+I2 11,006Noch einfacher ist die Berechnung nach der Formel von brahmagupta Rechenblatt a http://joachim.mohr.rottenburg.bei.t-online.de/faqmath2.html

Fragen und Antworten Mathematik Inhalt Kontakt Satz: Programm "Heron" dazu siehe: Downloadseite unter "Lernprogramme" Beweis: Zur Erinnerung: Die binomischen Formel lauten hier: (a+c) = a + 2ac + c , (c-x) = c - 2cx + x - x und etwas komplizierter - b sowie -(a-c) = -a + 2ac - c In seinen Werken kann man z.B. nachlesen, wie er mit Hilfe der Beobachtung einer Mondfinsternis die Entfernung Alexandrias von Rom berechnete. Bekannt sind auch seine von ihm erdachten Kriegsmaschinen und sein automatisches Theater. Die Heron'sche Formel befindet sich in seinem erhaltenen Werk "Metrica". Sie stammt jedoch von Archimedes. Heron LE 1 cm 1 m 10 m 100 m 1 km FE 1 cm 1 m 1 a (Ar) 1 ha (Hektar) 1 km Beispiel: a=4; b=2,24; c=3; d=4,47 Hier hat das Viereck bei B einen rechten Winkel. Hier beim "Sehnenviereck" hat das a = b = c = d = 4 cm Im folgenden wird vorausgesetzt, dass die Vierecke keine einspringende Ecke haben. (Man nennt diese Vierecke "konvex".) Am besten rechnen Sie dann mit TTMathe I. Man kennt noch eine Diagonale In diesem Fall kann man das Viereck in zwei Dreiecke zerlegen und von diesen zum Beispiel mit der berechnen.

67. My Favorite Heron-type Formula Is Brahmagupta S Formula For The My favorite Herontype formula is brahmagupta s formula for the maximum areaof a quadrilateral KK = (s - a)(s - b)(s - c)(s - d) Does *this* have n http://www.ics.uci.edu/~eppstein/junkyard/quad-area.html

From: gls@odyssey.att.com (Col. G. L. Sicherman) Newsgroups: sci.math Subject: Re: Heron-type formulas Date: 12 Jun 90 13:03:49 GMT Organization: Jack of Clubs Precision Instruments Co. My favorite "Heron-type" formula is Brahmagupta's formula for the maximum area of a quadrilateral: KK = (s - a)(s - b)(s - c)(s - d) Does *this* have n-dimensional analogues? -:- Most people hate egotists. They remind them of themselves. I love egotists. They remind me of me. R. Smullyan Col. G. L. Sicherman gls@odyssey.att.COM

68. Brahmagupta Definition Meaning Information Explanation brahmagupta (ca. 598ca. 665) from Eric Weisstein s World of brahmagupta (ca. 598-ca. 665), brahmagupta s mathematics seems to be rooted inthe Greek tradition, the achievements of which he improved and generalized. http://www.free-definition.com/Brahmagupta.html

A B C D ... Contact Beta 0.71 powered by: akademie.de PHP PostgreSQL Google News about your search term Brahmagupta Brahmagupta ) was an India n mathematician and astronomer . He was the head of the astronomical observatory at Ujjain, and during his tenure there wrote two texts on mathematics and astronomy: the Brahmasphutasiddhanta in , and the Khandakhadyaka in The Brahmasphutasiddhanta is the earliest known text other than the Mayan number system to treat zero as a number in its own right. It goes well beyond that, however, stating rules for arithmetic on negative numbers and zero which are quite close to the modern understanding. The major divergence is that Brahmagupta attempted to define division by zero , which is left undefined in modern mathematics. His definition is not terribly useful; for instance, he states that 0/0 = 0, which would be a handicap to discussion of removable singularities in calculus See also Brahmagupta's formula Brahmagupta's identity External links MacTutor History of Mathematics article on Brahmagupta Books about 'Brahmagupta' at: amazon.com

69. SmartPedia.com - Free Online Encyclopedia - Encyclopedia Books. brahmagupta a Ujjain che era il primo centro matematico dell antica India. http://www.smartpedia.com/smart/browse/Brahmagupta

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70. Encyclopedia: Brahmagupta Updated Nov 05, 2003. Encyclopedia brahmagupta. UserInfrogmationchanged the reference to the independent Mayan innovation of zero http://www.nationmaster.com/encyclopedia/Brahmagupta

Supporter Benefits Signup Login Sources ... Pies Factoid #39 Looking for Czech and Slovak men? Half are in factories Interesting Facts Make your own graph: Hold down Control and click on several. Compare All Top 5 Top 10 Top 20 Top 100 Bottom 100 Bottom 20 Bottom 10 Bottom 5 All (desc) in category: Select Category Agriculture Crime Currency Democracy Economy Education Energy Environment Food Geography Government Health Identification Immigration Internet Labor Language Manufacturing Media Military Mortality People Religion Sports Taxation Transportation Welfare with statistic: view: Correlations Printable graph / table Pie chart Scatterplot with ... * Asterisk means graphable. Added May 21 Mortality stats Multi-users ½ price Catholic stats Top Graphs Richest Most Murderous Most Populous Most Militaristic ... More Stats Categories Agriculture Background Crime Currency ... Welfare Updated: Nov 05, 2003 Encyclopedia : Brahmagupta User:Infrogmation changed the reference to the independent Mayan innovation of zero from Mayan civilization to Maya numerals , I suppose on the theory that the latter is a more specific reference except that zero is only mentioned under Maya numerals as a digit, whereas it is made clear in the "Mathematics" section of

71. HighBeam Research: ELibrary Search: Results 1. brahmagupta The Columbia Encyclopedia, Sixth Edition; January 10, 2004 brahmagupta brahmagupta , c.598c.660, Indian mathematician and astronomer. http://www.highbeam.com/library/search.asp?FN=AO&refid=ency_refd&search_thesauru

72. Recherche : Identité%20de%20Brahmagupta brahmagupta , Certification IDDN. Dansles fiches. 5 fiches trouvées. http://publimath.irem.univ-mrs.fr/cgi-bin/publimath.pl?r=identité de Brahmagupt

73. Recherche : Brahmagupta Translate this page Accueil Publimath Requête brahmagupta, Certification IDDN. Dans les fiches.5 fiches trouvées. 1, 2001 Fractale. http://publimath.irem.univ-mrs.fr/cgi-bin/publimath.pl?r=Brahmagupta&t=n

74. Brahmagupta Article on brahmagupta from WorldHistory.com, licensed from Wikipedia, the freeencyclopedia. Return to World History (home) Main Article Index brahmagupta. http://www.worldhistory.com/wiki/B/Brahmagupta.htm

World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History Brahmagupta Brahmagupta ) was an Indian mathematician and astronomer . He was the head of the astronomical observatory at Ujjain, and during his tenure there wrote two texts on mathematics and astronomy: the Brahmasphutasiddhanta in , and the Khandakhadyaka in The Brahmasphutasiddhanta is the earliest known text other than the Mayan number system to treat zero as a number in its own right. It goes well beyond that, however, stating rules for arithmetic on negative number s and zero which are quite close to the modern understanding. The major divergence is that Brahmagupta attempted to define division by zero , which is left undefined in modern mathematics. His definition is not terribly useful; for instance, he states that 0/0 = 0, which would be a handicap to discussion of removable singularities in calculus See also Brahmagupta's formula Brahmagupta's identity External links MacTutor History of Mathematics article on Brahmagupta Sponsored Links Advertisements DVD New Releases at Barnes and Noble 12 CDs for 1 at BMG Music Service ... to Ancestry.com!

75. Brahmagupta's Formula Article on brahmagupta s formula from WorldHistory.com, licensed fromWikipedia, the free encyclopedia. Return Index brahmagupta s formula. http://www.worldhistory.com/wiki/B/Brahmagupta's-formula.htm

World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History Brahmagupta's formula Brahmagupta's formula geometric formula to find the area of any quadrilateral Basic form In its basic and easiest to remember form, Brahmagupta's formula gives the area of a cyclic quadrilateral whose sides have lengths a b c d as: where s , the semiperimeter, is determined by Extension to Non-Cyclic Quadrilaterals In the case of non-cyclic quadrilaterals, Brahmagupta's formula can be extended by considering the measures of two opposite angles of the quadrilateral: where is half the sum of two opposite angles. (The pair is irrelevant: if the other two angles are taken, half their sum is the supplement of . Since , we have It is a property of cyclic quadrilaterals (and ultimately of inscribed angles ) that opposite angles of a quadrilateral sum to . Consequently, in the case of an inscribed quadrilateral, , whence the term , giving the basic form of Brahmagupta's formula. Related Theorems Heron's formula for the area of a triangle is the special case obtained by taking d The relationship between the general and extended form of Brahmagupta's formula is similar to how the Law of Cosines extends the Pythagorean Theorem External Link MathWorld: Brahmagupta's formula Sponsored Links Advertisements DVD New Releases at Barnes and Noble 12 CDs for 1 at BMG Music Service ... to Ancestry.com!

76. 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?sl

77. Critical Study Of Brahmagupta And His Works, ( Satya Prakash ResearchMethodology. Science. Sociology. Sports. Yoga. Book Details. Critical StudyOf brahmagupta And His Works Satya Prakash Sarasvati Year of Publication 1986. http://www.dkpd.com/Critical Study Of Brahmagupta And His Works.htm

78. ±Cù¼¯ÓD¦h¡]brahmagupta ¬ù598-¬ù665¡^ The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://www.edp.ust.hk/math/history/3/3_99.htm

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79. Science, Civilization And Society brahmagupta. Indian astronomer, bc 598, dc 665. brahmagupta was the last greatastronomer of the early Indian tradition, which culminated in his work. http://www.es.flinders.edu.au/~mattom/science society/lectures/illustrations/lec

80. Brahmagupta's Formula brahmagupta s Formula. For a Quadrilateral with sides of length ,, , and , the Area is given by. (1). where, (2). is the Semiperimeter http://icl.pku.edu.cn/yujs/MathWorld/math/b/b361.htm

Brahmagupta's Formula For a Quadrilateral with sides of length , and , the Area is given by where is the Semiperimeter is the Angle between and , and is the Angle between and . For a Cyclic Quadrilateral (i.e., a Quadrilateral inscribed in a Circle , so where is the Radius of the Circumcircle . If the Quadrilateral is Inscribed in one Circle and Circumscribed on another, then the Area Formula simplifies to See also Bretschneider's Formula Heron's Formula References Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 56-60, 1967. Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, pp. 81-82, 1929. Eric W. Weisstein

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