"Bhaskara and the pythagorean theorem" Essays and Research Papers

Determination of Length‚ Mass‚ and Density Table of Contents 1 – Introduction ……………………………………………........…. Page 3 2 – Theory ………………………………………………………...... Page 3 3 – Experimental Procedure and Results …...………………..…. Page 6 4 – Discussion ………………….……………………….....….…… Page 9 5 – Conclusion ………………………………………….....…….... Page 9 6 – Bibliography …………………………………………......… Page 10 1- Introduction The purpose of this experiment is to learn how use a variety of tools that will aid in the gathering

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texts as Ashmaka India which may have been Maharashtra or Dhaka.[8] Education It is fairly certain that‚ at some point‚ he went to Kusumapura for advanced studies and lived there for some time.[9] Both Hindu and Buddhist tradition‚ as well as Bhāskara I (CE 629)‚ identify Kusumapura as Pāṭaliputra‚ modern Patna.[6] A verse mentions that Aryabhata was the head of an institution (kulapa) at Kusumapura‚ and‚ because the university of Nalanda was in Pataliputra at the time and had an astronomical

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Greek and Roman Influence in Psychology Virtually every branch of knowledge‚ as we know it today‚ came from particularly two powerful empires of the ancient past‚ which are the Greek and Roman Empire. Although there were other civilizations‚ such as the Arabs and the Mayans‚ that made progress in knowledge‚ especially mathematics‚ the Greeks and Romans have been more recognized for the development of other branches of knowledge. The Greeks and Romans have been known to be the promoters of the natural

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India’s
 contribu*on
 to
the
rest
of
 the
world
 “India is the cradle of the human race‚
the
birthplace
of
 human
speech‚
the
mother
of
history‚
the
grandmother
 of
legend‚
and
the
great
grand
mother
of
tradi*on.
Our
 most
 valuable
 and
 most
 construc*ve
 materials
 in
 the
 history
of
man
are
treasured
up
in
India
only”
 Mark Twain  "India was the motherland of our race 
 and
Sanskrit
the
mother
of
Europe’s
languages.

 India
was
the
mother
of
our
philosophy‚

 of
much
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our


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They also divided up the circle into 360 degrees. The Mesopotamians had formulas for figuring out the circumference and area for different geometric shapes like rectangles‚ circles‚ and triangles. Some evidence suggests that they even knew the Pythagorean Theorem long before Pythagoras wrote it down. They may have even discovered the number for pi

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1.1 SOLUTIONS Notes: The key exercises are 7 (or 11 or 12)‚ 19–22‚ and 25. For brevity‚ the symbols R1‚ R2‚…‚ stand for row 1 (or equation 1)‚ row 2 (or equation 2)‚ and so on. Additional notes are at the end of the section. 1. x1 + 5 x2 = 7 −2 x1 − 7 x2 = −5  1  −2  5 −7 7 −5  x1 + 5 x2 = 7 Replace R2 by R2 + (2)R1 and obtain: 3x2 = 9 x1 + 5 x2 = 7 x2 = 3 x1 1 0  1 0  1 0  5 3 5 1 0 1 7 9  7 3  −8 3  Scale R2 by 1/3: Replace R1 by R1

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x-axis y-axis Foci ( ±c‚ 0) (0‚ ±c) Vertices (±a‚ 0) (0‚ ±a) Semitransverse axis a a Semiconjugate axis b b Pythagorean relation Asymptotes Hyperbolas with Center (h‚ k) Standard Equation Focal Axis y=k x=h Foci ( h ± c‚ k) (h‚ k ± c) Vertices (h ± a‚ k) (h‚ k ± a) Semitransverse axis a a Semiconjugate axis b b Pythagorean relation Asymptotes See pg. 656-658 in textbook for drawings.

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PRESOCRATIC PHILOSOPHY Introduction As early Greek civilization grew more complex (c. 500 b.c.e.)‚ mythology and religion began to develop into philosophy (and later into science). As part of this development‚ a new kind of thinker emerged known as a sophos‚ from the Greek word for “wise.” These “wise men‚” and they were almost exclusively men‚ asked increasingly sophisticated questions about all sorts of things‚ especially natural processes and the origins and essence of life. Although mythology

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HOLIDAY HOMEWORK CLASS IX MATHEMATICS • Project on any of the following mathematician: 1. Ramanujan 2. Phythagoras 3. Aryabhatta 4. Elucid 5. Bhaskara • A model working or non working on any topic of mathematics of IX-X level. • Do five questions daily in practice notebook for 30 days with dates. English Instructions:- Attempt all exercises on ruled sheets and present them in a file. Maintain a content page(index)

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Brahmagupta (Sanskrit: ब्रह्मगुप्त;  listen (help·info)) (597–668 AD) was a Indian mathematician and astronomer who wrote many important works on mathematics and astronomy. His best known work is the Brāhmasphuṭasiddhānta (Correctly Established Doctrine of Brahma)‚ written in 628 in Bhinmal. Its 25 chapters contain several unprecedented mathematical results. Brahmagupta was the first to use zero as a number. He gave rules to compute with zero. Brahmagupta used negative numbers and zero for computing

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