Aryabhata definition of metaphor

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Aryabhata definition of metaphor

Unsourced material may be challenged and removed. March Learn how and when to remove this message. Sterling Dictionary of Physics. Sterling Publishers Private Limited. ISBN Retrieved 15 April Archived from the original on 11 July Retrieved 18 July The Britannica Guide to Numbers and Measurement. The Rosen Publishing Group. Different Types of History.

Pearson Education India. Yadav 28 October Ancient Indian Leaps into Mathematics. Retrieved 20 June Sarma Indian Journal of History of Science. Archived from the original PDF on 31 March March Bulletin of the Astronomical Society of India. Bibcode : BASI An Introduction to the History and Philosophy of Science. Balachandra Rao Indian Astronomy: An Introduction.

Orient Blackswan. Satpathy Ancient Indian Astronomy. Alpha Science Int'l Ltd. Classical Muhurta. Kala Occult Publishers. This is not the Lanka that is now known as Sri Lanka; Aryabhata is very clear in stating that Lanka is 23 degrees south of Ujjain. Pujari; Pradeep Kolhe; N. Kumar Motilal Banarsidass Publ. History of Mathematics: A Brief Course.

Aryabhata himself one of at least two mathematicians bearing that name lived in the late 5th and the early 6th centuries at Kusumapura Pataliutra , a village near the city of Patna and wrote a book called Aryabhatiya. Archived from the original PDF on 21 July Retrieved 9 December Gujarati Vishwakosh. Maths History. University of St.

Ifrah History of Hindu Mathematics. Asia Publishing House, Bombay. Geometry: Seeing, Doing, Understanding Third ed. New York: W. Freeman and Company. Balachandra Rao [First published ]. Let N be the number. The solution to such problems is referred to as the Chinese remainder theorem. This method involves breaking a problem into small pieces, to obtain a recursive algorithm of writing original factors into small numbers.

It is not a table with values of trigonometric sine functions, instead, it is a table of the first differences of the values of trigonometric sines expressed in arcminutes. Having subtracted the greatest possible cube from the last cube place and then having written down the cube root of the number subtracted in the line of the cube root , divide the second non-cube place standing on the right of the last cube place by thrice the square of the cube root already obtained ; then subtract form the first non cube place standing on the right of the second non-cube place the square of the quotient multiplied by thrice the previous cube-root ; and then subtract the cube of the quotient from the cube place standing on the right of the first non-cube place andwrite down the quotient on the right of the previous cube root in the line of the cube root, and treat this as the new cube root.

Repeat the process if there is still digits on the right. Having subtracted the greatest possible square from the last odd place and then having written down the square root of the number subtracted in the line of the square root always divide the even place standing on the right by twice the square root. Then, having subtracted the square of the quotient from the odd place standing on the right , set down the quotient at the next place i.

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The Aryabhatiya was translated into Arabic by Abu'l Hassan al-Ahwazi before AD as Zij al-Arjabhar and it is partly through this translation that Indian computational and mathematical methods were introduced to the Arabs, which will have had a significant effect on the forward progress made by mathematics. The historian A Cajori even goes as far as to suggest that Diophantus , the father of Greek algebra, got the first algebraic knowledge from India.

Example 8. Hence we choose a multiplier such that on multiplication by the last residue, 1 in red above , and subtracting 10 from the product the result is divisible by the penultimate remainder, 8 in blue above. We then form the following table: 2 2 2 2 3 3 3 1 1 37 37 1 19 19 The multiplier 18 18 Quotient obtained 1 This can be explained as such: The number 18 , and the number above it in the first column, multiplied and added to the number below it, gives the last but one number in the second column.

Working omitted for sake of brevity. This method was called Kuttaka , which literally means pulveriser, on account of the process of continued division that is carried out to obtain the solution. Bhaskara I c - AD also a prominent astronomer, his work in that area gave rise to an extremely accurate approximation for the sine function.

His commentary of the Aryabhatiya is of only the mathematics sections, and he develops several of the ideas contained within. Perhaps his most important contribution was that which he made to the topic of algebra. Lalla c - AD followed Aryabhata but in fact disagreed with much of his astronomical work. Lalla also composed a commentary on Brahmagupta 's Khandakhadyaka.

Govindasvami c - AD his most important work was a commentary on Bhaskara I 's astronomical work Mahabhaskariya , he also considered Aryabhata 's sine tables and constructed a table which led to improved values.