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         Bhaskara Ii:     more detail
  1. Bhaskara II
  2. People From Bijapur: Bhaskara Ii, Basava, Aluru Venkata Rao, Basappa Danappa Jatti, Venkanna H. Naik, Ramesh Jigajinagi, Sunil Kumar Desai
  3. Expounding the Mathematical Seed. Vol. 2: The Supplements: A Translation of Bhaskara I on the Mathematical Chapter of the Aryabhatiya (Science Networks. Historical Studies) by Agathe Keller, 2006-04-28
  4. 1114 Births: Bhaskara Ii, Fujiwara No Shunzei, Henry, Earl of Northumbria, Mor O'toole, Queen of Leinster, Al-Suhayli
  5. Indian Astronomers: Subrahmanyan Chandrasekhar, Aryabhata, Bhaskara Ii, Nilakantha Somayaji, Venkatraman Radhakrishnan, Jyesthadeva, Vasistha
  6. 1185 Deaths: Andronikos I Komnenos, Afonso I of Portugal, Pope Lucius Iii, Baldwin Iv of Jerusalem, Bhaskara Ii, Ibn Tufail, Emperor Antoku
  7. 12th-Century Mathematicians: Omar Khayyám, Adelard of Bath, Abraham Bar Hiyya, Al-Khazini, Bhaskara Ii, Sharaf Al-Din Al-usi
  8. Indian Mathematics: Swami Bharati Krishna Tirtha's Vedic Mathematics, Bhaskara Ii, Tantrasamgraha, Shulba Sutras, Aryabhata's Sine Table
  9. 12th-Century Scientists: 12th-Century Mathematicians, Omar Khayyám, Adelard of Bath, Abraham Bar Hiyya, Al-Khazini, Bhaskara Ii
  10. Bhaskara I and His Works: Part II: Maha-Bhaskariya by Kripa Shankar Shukla (Ed. & Trs. ), 1960-01-01

41. Accounting Historians Journal, The: From Accounting To Negative Numbers: A Signa
7In Colebrooke 1973, Brahmagupta is spelled as Brahmegupta and bhaskara iias Bhiscara. But here we shall adhere to what seem to be the more common
http://www.findarticles.com/p/articles/mi_qa3657/is_199812/ai_n8810036/pg_4
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IN free articles only all articles this publication Automotive Sports 10,000,000 articles - not found on any other search engine. FindArticles Accounting Historians Journal, The Dec 1998
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Accounting Historians Journal, The Accounting History AgExporter ... View all titles in this topic Hot New Articles by Topic Automotive Sports Top Articles Ever by Topic Automotive Sports From accounting to negative numbers: A signal contribution of medieval India to mathematics Accounting Historians Journal, The Dec 1998 by Mattessich, Richard
Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. Continued from page 3.
The Arabs, and through them Leonardo da Pisa, might have transmitted to the West some knowledge about negative quantities; but the subsequent circumstances (greater "logical scruples" of European mathematicians and a more foundational-deductive orientation than the pragmatic one of their Indian counterparts [cf., Kline, 1980, pp. 110-112]), indicate that neither the Arabs nor Leonardo da Pisa succeeded in conveying the need for legitimizing negative numbers, though they did transmit such Indian achievements as the decimal place-order system and a symbol for zero.*5

42. SCIAMVS: Volume 3
of the Lilavati of bhaskara ii ..193 Title Page in PDF File (50KB). Information for Authors .
http://www.sciamvs.org/vol_03.html
Last update August 12, 2002 HOME
SCIAMVS
Contents of Volume 3
Contents in PDF File (24KB)
Contents + Editorial + Title page of each article in PDF File (257KB)
  • Editorial ..............................................................................................1
    in PDF File (28KB)
  • Lis Brack-Bernsen and Hermann Hunger.
    • TU 11: A Collection of Rules for the Prediction
      of Lunar Phases and of Month Lengths........................................3
      (with photos of the tablet TU 11)
      Title Page in PDF File (22KB)
  • Charles Burnett.
  • Reviel Netz, Ken Saito and Natalie Tchernetska.
    • A New Reading of Method Proposition 14:
      Preliminary Evidence from the Archimedes Palimpsest (Part 2)....109
      (with photos of a part of the palimpsest) Title Page in PDF File (49KB)
  • Ken'ichi Takahashi, Takako Mori and Youhei Kikuchihara.
    • A Paraphrased Latin Version of Euclid's Optica A Text of De visu in MS Add.17368

43. ESWARA Activities
bhaskara ii (1150),. 6. Circumradius of a cyclic quadrilateral. Lhuiller(1782),.Parameswara(1360),. The contributions of Brhamagupta and Bhaskara in
http://www.eswaraindia.org/l-a.htm
E ARTHSYSTEM S CIENCES A W ARENESS A ND R ESEARCH A SSOCIATION
E SWARA
Lecture Series in Ancient Indian Sciences
Lecture 21
Dr. Shamathakamani Narendran
Principal and Dean,
M.S.Ramaiah Medical College and Teaching Hospitals,
Bangalore Abstract Pregnancy is one of the greatest events in a woman's life. The artistry, the amazing accuracy and the awesome detail associated with the little life inside the womb can only be experienced by a mother. With the concept of small families all over the world, pregnancy has become not only very precious but also full of apprehension and fear.
Yoga therapy is fast advancing as an effective tool in many physical and psychological disorders. There is enough proof available of the beneficial effects of yoga on the mind and body of the human beings. Many scientists have investigated the changes that take place in the human system at all levels by the practice of yoga and holistic living in the recent past all over the world. Swami Vivekananda Yoga Anusandhana Samsthana (sVYASA), Bangalore , has evolved a simple and useful module of basic yoga practice for mothers-to-be and extensive research is going on in one of the local super speciality referral maternity hospitals.
However due to a lack of right exposure, there is still a lot of apprehension and fear in the minds of doctors and obstetricians, much more than the pregnant women themselves about yoga practice. It has to be mentioned here that yoga does not mean only some

44. QUERIES ON ORIENTAL SOURCES IN RECREATIONAL MATHEMATICS By David Singmaster
in the Chiu Chang Suan Ching (c150), in Sridhara (c900) and bhaskara ii (1150) . Bhaskara gives an easy problem with crossed ladders in a street.
http://anduin.eldar.org/~problemi/singmast/mideastr.html
Computing, Information Systems and Mathematics 87 Rodenhurst Road South Bank University London, SW4 8AF, England London, SE1 0AA, England Tel/fax: 0181-674 3676 Tel: 0171-815 7411 Fax: 0171-815 7499 E-mail: ZINGMAST@VAX.SBU.AC.UK
QUERIES ON MIDDLE-EASTERN SOURCES IN RECREATIONAL MATHEMATICS by David Singmaster
last Web revision:December 22, 1998 Mario Velucchi's Web Index visitors since Dec. 22, 1998 Web page processed by Web Master - Mario Velucchi velucchi@bigfoot.com Mario Velucchi / Via Emilia, 106 / I-56121 Pisa - Italy
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45. CHRONOLOGY OF RECREATIONAL MATHEMATICS By David Singmaster
1150 bhaskara ii Lilivati Bijaganita. 1150 ibn Ezra. Various works, includinga poem about chess. Late 12C Gretti s Saga mentions Fox and Geese.
http://anduin.eldar.org/~problemi/singmast/recchron.html
Computing, Information Systems and Mathematics 87 Rodenhurst Road South Bank University London, SW4 8AF, England London, SE1 0AA, England Tel/fax: 0181-674 3676 Tel: 0171-815 7411 Fax: 0171-815 7499 E-mail: ZINGMAST@VAX.SBU.AC.UK
CHRONOLOGY OF RECREATIONAL MATHEMATICS by David Singmaster
last Web revision:December 22, 1998 Mario Velucchi's Web Index visitors since Dec. 22, 1998 Web page processed by Web Master - Mario Velucchi velucchi@bigfoot.com Mario Velucchi / Via Emilia, 106 / I-56121 Pisa - Italy
Receive email when this page changes
Click Here Powered by Netmind Resources provided by Brad Spencer

46. SDKindex
bhaskara ii 1 big contradicitions to the BigBang 1 The Big Bang Hoax History of the Big-Bang More Problems With The Big-Bang by David Berlinski
http://zyx.org/SDKindex.htm
RETURN TO HOME PAGE RETURN TO SDK INDEX ALPHABETICAL INDEX A
aberration of starlight
Abu Kamil Shuja
action-at-a-distance

David Adair

age of the universe

air cavity in telescopes
...
aliens (space travelers)

Al-Karaji
Al-Khwarizimi
Al-Samawal Anaximander Anaximenes Area 51 Aryabahata I auto-convolution average surface displacement B Babylonian mathematics Poem to the bee Being non clinical bell-shaped motion George Berkeley Bhaskara II big contradicitions to the Big-Bang The Big Bang Hoax History of the Big-Bang More Problems With The Big-Bang by David Berlinski biography ... James Bradley Brahmagupta Buc's Case C Cardan Jean Philippe Leys de Cheseaux of Lausanne William Kingdon Clifford constant of aberration Contracting Universe Hypothesis ... convergence of points The Copernican System Horizon, American Heritage Publishing Co., Winter 1972, Volume IX, Number 1, pg. 45. COSMO JOE cosmological models coulombs Coulomb's Law ... curvature D Democritus density Descartes dion Dirac Eddington-Dirac number Discovery Magazine rebuttal distribution of motion domains dual wave configuration ... Dynamic Geometry E Sir Arthur Eddington Eddington-Dirac number Ehwaz Eight Fold Way Einstein electrostatic force electron image electrostatics elementary particles Escher Eta Carinae ether wind experiment ether drag Euclid event Experimental College (UCLA) exterior region Ezra F Fermi paradox Fibonacci field configuration Field Density field origination field simulation ... free space fringe objects Fundamental Being Fundamental Domain Fundamental Form G galactic rotation Galileo

47. Formulas Of Euclid And Archimedes Activity
Exercise 6 is from the Lilavati, written by the Indian mathematician and astronomer,bhaskara ii, in about 1150 CE. 6. (Plofker, 23) In a lake with flocks
http://newton.uor.edu/facultyfolder/beery/math115/day4.htm
[Today’s class: Maya arithmetic, especially subtraction (use toothpicks and small candies-or pencil and paper), review of Pythagorean Theorem and its converse, Puzzle Proofs of Pythagorean Theorem activity, Proofs of Pythagorean Theorem via area and algebra (see Pythagorean Theorem activity), Historical applications of Pythagorean Theorem Mathematics 115 Homework Assignment #4 Due Monday, January 14, 2002 Prof. Beery's office hours this week Thursday 1/ 10   10:30 a.m.-12:30 p.m. 4-5 p.m.                                                                      Friday 1/11   1:30 - 3:30 p.m.                                                                   Monday 1/14   10:30 a.m.-12:30 p.m. 4-5 p.m. and by appointment, Hentschke 203D, x3118 Tutorial session :  Sunday, Jan. 13, 4 - 5 p.m. , Hentschke 204 (Jody Cochrane) Read :   "No Stone Unturned (Early Southern California math artifacts?)"             "Kernel revealing history of humans in the New World "              "Mayan Arithmetic" (you may skip Section 4, Division)             "Mayan Head Variant Numerals"

48. Newsletter 46, March 2001
bhaskara ii in his famous Lilavati (12th century) gives the wrong rule (a x 0) = a.His commentator Ganesa (1545) remarks that the rule comes by cancelling
http://www.hpm-americas.org/nl46/nl46art2.html
International Study Group on the Relations Between
HISTORY and PEDAGOGY of MATHEMATICS NEWSLETTER
No. 46, March 2001 An Affiliate of the International Commission on Mathematical Instruction
The Dangerous Hole of Zero
History makes a man wise is a common saying. By studying history we can know the errors and mistakes committed in the past and save ourselves from repeating them. According to P. S. Jones "One use of the history of mathematics is to reveal to students come of the conceptual difficulties and errors which have impeded progress". G. A. Miller even says "The teachers of mathematics may frequently gain more from a clear exposition of failures than from such an exposition of successes on the part of the eminent mathematicians of the past". In this brief note we mention the mistakes, gathered from a few earlier works, in connection with some arithmetical operations involving the number zero (now denoted by the hole "0").
    1. The great Indian mathematician Brahmagupta (7th century AD) was the first to give explicitly in his Brahmasphuta-Siddhanta (chapter XVIII), the various rules involving zero (in arithmetical operations) but they also include his statement that "zero divided by zero is zero". That is, ÷ = which is not true in general.
    2. The Ganitasara-sangraha (I, 49) of the Jaina mathematician Mahavira (9th century) contains a ÷ = a

49. Newsletter 44, November 2000: History And Culture In Mathematics Education
bhaskara ii in his famous Lilavati (12th century) gives the wrong rule (a x 0)/0 =a His commentator Ganesa (1545) remarks that the rule comes by cancelling
http://www.hpm-americas.org/nl47/nl47apologies.html
International Study Group on the Relations Between
HISTORY and PEDAGOGY of MATHEMATICS NEWSLETTER
An Affiliate of the International Commission on Mathematical Instruction: No. 47, July 2001
Apologies
My apologies, but in the last HPM Newsletter there were two mistakes that I failed to notice before sending it to distributors. These were both in the article The Dangerous Hole of Zero Firstly I forgot to acknowledge the author. It was Professor R. C. Gupta from India who submitted the article, and my sincere apologies to him and all the HPM Newsletter readers for this oversight. Secondly in example 4 the “wrong rule” was misprinted. The correct paragraph is shown here. 4. Bhaskara II in his famous Lilavati th century) gives the wrong rule ( a x a
His commentator Ganesa (1545) remarks that the rule comes by cancelling zero from the numerator and denominator!
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50. Vedic Sources Of The Vedic Mathematics - Article
The interpolator is Ksepaka.79 bhaskara ii succeeded in evolving a very simpleand elegant method by means of which one can derive an auxiliary equation
http://vedicmaths.org/Free Resources/Articles/kansara/kansara.asp
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This article appeared in the Indian Journal ‘Sambodhi’ Vol. XXIII, 2000 and is reproduced here with permission. Diacritical marks have not been copied, nor have the few Sanskrit/Hindu lines of text. This article has been scanned into text and though we have done our best there may still be a few errors. For the full text please see the Journal version. VEDIC SOURCES OF THE 'VEDIC MATHEMATICS' Dr. N. M. Kansara
Director, Akshardham Centre for Applied Research in Social Harmony (AARSH), Akshardham, Gandhinagar - (382 020) Jagadguru Shankaracharya Swami Shri Bharati Krishna Tirthaji Maharaja of Govardhan Peeth Matha, Puri, wrote or dictated a book entitled `Vedic Mathematics' based on 29 Sutras, of which 16 deal with the ‘general case’, while the rest 13 treat the special cases. The declaration of the Sutras as "Vedic" or as belonging to the Vedas, particularly to the Atharvaveda, and his claim that "the Sutras (aphorisms) apply to and cover each and every part of each and every chapter of each and every branch of mathematics including arithmetic, algebra, geometry ­plane and solid, trigonometry - plane and spherical, conics - geometrical and analytical, astronomy, calculus - differential and integral etc., etc.", and that "there is no part of mathematics, pure or applied, which is beyond their jurisdiction" has raised a controversy amongst the mathematicians of India, some of whom have questioned the Vedicity of the Sutras on the ground of their language, and the level of mathematics it deals with. It is endeavoured here to deal with the problem in all possible aspects, and examine the validity or otherwise of the claim.

51. Sulbasutra Geometry
522 CE), Bramhagupta (628 CE) and bhaskara ii (b. 1114 CE). In this period,geometry took somewhat of a backseat to the pursuit of astronomy and algebra.
http://www.math.ubc.ca/~cass/courses/m309-01a/kong/sulbasutra_geometry.htm
Sulbasutra Geometry
For Prof. W. Casselman
By Susanna Kong
Math 309 April 2001
Introduction
The basis and inspiration for the whole of Indian mathematics is geometry. The beginnings of algebra can be traced to the constructional geometry of the Vedic priests preserved in the Sulbasutras , a manual of geometrical constructions from the 5 th to the 8 th centuries. Earlier remnants of geometrical knowledge of the Indus Valley Civilisation can be found in excavations at Harappa and Mohenjo-daro where there is evidence of circle-drawing instruments from as early as 2500 B.C.E. (Amma 1) Early geometry of the Sulbasutras was based on religious needs with regards to the construction of altars such as agnicitis, vedis, mandapas etc. that are required for sacrificial ritual (Kulkarni 19, Amma 3). The history of Indian geometry can be divided into three distinct periods: pre-Aryan, such as excavated in Indus Valley. Vedic or Sulbasutra post-Christian. Evidence of the pre-Aryan period includes well-planned towns and geometric designs including circles, squares and triangles. A link between this and the Vedic period can be found in the motif of a rectangle with the four sides curved inwards resembling a stretched hide; in the former period it can be seen as a decorative pattern while in the later period it is seen in the shape of the sacrificial altars or vedi . The vedi as well as the fireplaces or agni had such exact measurements and geometric shapes that they were codified and became the Sulbasutras . However, it is not known from how far back such knowledge originated as the sacrificial act is as old as the Vedas or older (Amma 5).

52. Quadratic Equation -- Facts, Info, And Encyclopedia Article
The rule is (as quoted by bhaskara ii) Multiply both sides of the equation bya known quantity equal to four times the coefficient of the square of the
http://www.absoluteastronomy.com/encyclopedia/q/qu/quadratic_equation.htm
Quadratic equation
[Categories: Equations, Elementary algebra]
In (A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement) mathematics , a quadratic equation is a (A mathematical expression that is the sum of a number of terms) polynomial (A mathematical statement that two expressions are equal) equation of the second (A specific identifiable position in a continuum or series or especially in a process) degree . The generalized form is
The numbers a b and c are called coefficients a is the coefficient of x b is the coefficient of x , and c is the free term or constant.
A quadratic equation with (An old small silver Spanish coin) real or ((psychoanalysis) a combination of emotions and impulses that have been rejected from awareness but still influence a person's behavior) complex coefficients has two complex roots (i.e., solutions for x when y = 0) usually denoted as and , although the two roots may be equal. These roots can be computed using the quadratic formula
Higher-degree equations may be quadratic in form , such as:
Note that the highest exponent is twice the value of the exponent of the middle term. This equation may be resolved directly or with a simple substitution, using the methods that are available for the quadratic, such as factoring (also called factorising), the quadratic formula, or completing the square.

53. The Culture Of Science
spanning as it did the times from Aryabhata to bhaskara ii Aryabhata, in hisbook Aryabhateeya makes the statement that essentially means that the Earth
http://www.iucaa.ernet.in/~scipop/ebooks/articles/cultureofscience.htm
T he culture of science Jayant Vishnu Narlikar
Email - jvn@iucaa.ernet.in C.D. Deshmukh Memorial Lecture at the India International Centre, Delhi Ladies and Gentlemen, It is a great honour to be invited to deliver this prestigious lecture in the memory of the late C.D. Deshmukh, especially at the India international Centre that was C.D.’s creation and one of his most beloved projects. I feel somewhat inhibited to fulfil my assignment today, since from my childhood I had looked upon C.D. Deshmukh as a towering personality. I have memories of his visit to our house back in early nineteen fifties, when I was in secondary school. My parents asked me on that occasion to recite some Sanskrit shlokas . I did so with some trepidation since I had heard about how great a scholar C.D. was in Sanskrit. I also recall feeling very happy when the 'Guest of Honour' complimented me on my Sanskrit pronunciation. On that occasion he had come from a function at the Women's College of the Banaras Hindu University. The university is often referred to as B.H.U. and C.D. used this fact in one of his typical witty remarks. He told the women students - as students of the B.H.U. were 'Bhu-kanyas' and as such they should emulate the ideal of

54. Th Topic: Infinity And Infinitesimal
Quote bhaskara ii (1150) in a/0 there is no alteration, as no change takesplace in the infinite and immutable God »dattB_1935
http://www.thesa.com/th/th-78-73-175-th-196-230-59.htm
Map Index Random Help ... Topics
Topic: infinity and infinitesimal
topics Group : mathematics
Related
Group
philosophy of mathematics Topic
continuum in mathematics
Topic

elements
Topic

infinite sequences
Topic

kinds of numbers
Group

sets Topic unbounded precision Topic what is a number continuous Quote : when instances approach each other continually and eventually merge, the consequences or outcomes must do so also; e.g., parabola is an ellipse Quote : rule of continuity no change takes place by leaps and bounds Quote : in every parcel of matter there is an infinity of created things Quote : the circumference of an infinite circle and a straight line are the same thing [ Quote : if moveables descend rays from a point, they form a circle of ever widening diameter; a wonderful feature of nature unsorted Quote : there is a definite beginning and the reasons for things are not infinite [ Quote : there can be no infinite regress in the production of things Quote : where there is no first term, there is no explanation at all; no infinite regress Quote : we know when we know how to explain adequately; adding factors infinitely should take endless time

55. Th QuoteRef: DattB_1935
243 ;;Quote bhaskara ii (1150) in a/0 there is no alteration, as no changetakes place in the infinite and immutable God
http://www.thesa.com/th/th-106-161-169-th-230-231-143.htm
Map Index Random Help ... Topics
QuoteRef: dattB_1935
topics all references ThesaHelp : references c-d
Related
Topic
history of mathematics
ThesaHelp

references c-d
Topic

kinds of numbers
Topic

number as a named set of numbers
Topic

notation for constants
Topic
what is a number Topic number representation Topic history of computing Topic what is a computer Topic probability Group formalism Topic vivid representation of programs Topic education Topic reductionism Topic infinity and infinitesimal
Reference
Datta, B., Singh, A.N., History of Hindu Mathematics: a source book, part 1, numeral notation and arithmetic , Lahore, Motilal Banarsi Das, 1935. Google
Notes
Harvard University library Quotations Quote : ten has always been the basis of numeration in India Quote : India used immense numbers from ancient times; for example, the Hindus used 18 denominations and in the Lalitavistara, tallaksana is 10^53 Quote : the decimal number system appears to be of Hindu origin sometime before 595 A.D.; only India switched from the old system to the new one using the same numerical signs Quote : India has a place-value system of word numerals; 1 is anything markedly unique, e.g., the moon, the earth; is denoted by words meaning void, sky, complete; still used today

56. Storytelling Science Aryabhata And Diophantus Son
This is Bhaskara s commentary on the ancient text Aryabhatiyam , and you find that the solution to this equation was recorded by bhaskara ii (1150AD),
http://www.cse.iitk.ac.in/~amit/story/19_aryabhata.html

57. Bhaskara
Translate this page On ne confondra pas ce mathématicien indien avec un autre Bhaskara ayant de Bhaskara I pour évoquer ce mathématicien homonyme, bhaskara ii désignant
http://serge.mehl.free.fr/chrono/Bhaskara.html
BHASKARA (Bhaskaracharya) indien, 1114-1185 Brahmagupta Bhaskara I Bhaskara II Brahamagupta Trois oeuvres principales de Bhaskara nous sont parvenues : Oresme : Dans son Lilavati diophantiennes ardues de la forme : x = ny Exemple : x x
  • x (x - 4)
Les solutions sont donc : x = 9 et x = -1
  • 1,05 m Dis-moi, jeune fille au regard vif quel est le nombre qui :
    • en multipliant par trois en ajoutant les trois quarts en divisant par 7 en enlevant le tiers en soustrayant ensuite 52
      quation).
    de la chaîne de calcul plutôt que de résoudre une équation.
    , Ed. Flammarion, Paris - 1997
    Pour en savoir plus : Al Khayyam Fibonacci

58. Transmission Of Mathematical Ideas Author 20
bhaskara ii even declares that the Rule of Three pervades the whole field ofarithmetic with its many variations, just as Visnu pervades the entire universe
http://www.iwr.uni-heidelberg.de/transmath/author20.html
2000 Years Transmission of Mathematical Ideas:
Exchange and Influence from Late Babylonian Mathematics to Early Renaissance Science
S. R. Sarma (Aligarh, India)
"Rule of Three in Sanskrit Variations" In the history of transmission of mathematical ideas, the Rule of
Three forms an interesting case. It was known in China as early as
the first century AD. Indian texts dwell on it from the fifth century
onwards. It was introduced into the Islamic world in about the eighth
century. Renaissance Europe hailed it as the Golden Rule. The
importance of the rule lies not so much in the subtlety of its theory
as in the simple process of solving problems. This process consists
of writing down the three given terms in a linear sequence (A -> B -> C)
and then, proceeding in the reverse direction, multiplying the last term with the middle form and dividing their product by the first term (C x B : A). With this rule one can easily solve several types of problems even without a knowledge of the general theory of proportion. The writers in Sanskrit, however, were well aware of the theory.

59. The Battlefield Of Indian History
decimal places and producing an accurate table of sines; Algebra was known toAryabhata; and it is discussed in detail in bhaskara ii s Lilavati ca.
http://www.rediff.com/news/2004/aug/16rajeev.htm
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News Columnists Rajeev Srinivasan
The battlefield of Indian history
August 16, 2004
I ndian history is once again centrestage. There is in some quarters a feeling that history is the most boring of subjects, consisting of long, dry lists of dynasties and the exploits of rather barbaric kings. This, unfortunately, is a result of the way history is taught in India. For it is fake history that has been manufactured by people with vested interests with the intention of keeping Indians enslaved. History is perhaps the most important of the humanities. There is nothing quite like history that can be used in positive and negative ways to affect the affairs of men. To paraphrase George Santayana, I would say, "Those who forget their history are condemned." Condemned to forever be second-class, to forever lack self-respect, to forever suffer loss of self-image. India's loss of knowledge of its history is a double disaster, because it turns out India's history is almost unimaginably lustrous: in fact, within the first order of approximation, one could claim that India invented almost everything worth knowing in the ancient world. India was, for millennia, the Empire of the Intellect, the civilization that with astonishing creativity generated more ideas than the rest of the world put together. The denigration of Indian history is a project originally put into action by colonialist Britons, who identified, correctly, that by controlling the past they would be able to control the present as well. After Independence, a cabal of Marxists has dominated the official version of history in India, and they too want to control India's present and future. They have managed to brainwash entire generations of Indians into believing that everything that originated in India is worthless.

60. Bhutas : Some Reflections On Modern Scientific Concepts And Traditional Indian T
Why the astronomical tradition from Aryabhata to bhaskara ii did not continuebeyond the twelfth century? For, during those seven centuries (5001200 ad)
http://ignca.nic.in/ps_04003.htm
THE NATURE OF MATTER
Previous Page
Contents of the Book Next Page Bhutas Some Reflections on Modern Scientific Concepts and Traditional Indian Thoughts Jayant V. Narlikar Against the background of some elementary knowledge about the many different streams of ancient thoughts, I have ventured to ask some questions visa-vis scientific ideas of modern times where I do know a little, perhaps just enough to gauge the extent of my ignorance. About our ancient traditions I do not even know the extent of my ignorance! So I had better begin with the modern scientific end. What does science say about the nature of matter on different physical scales? Scales of Structure A few years ago Professor Phillip Morrison had made a beautiful but short film entitled ‘Powers of Ten’. It started with a scene very common in the Western world, that of a couple picnicking in a city park. Then the camera zooms out showing the larger scale of the park, then zooms farther to show the city, then the state and so on. Each scene is followed by another with ten times larger scale. How far does this go on? Taking 1 metre as the scale we measure our local distances in (— the picnicking couple occupied an area of a few square metres), the tenfold increases in length go on till about 1026 metres — that is, about a hundred million million million million metres! A few significant steps enroute to this gigantic scale are given in Table I below.

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