Varahamihira biography definition
Varahamihira
Our knowledge of Varahamihira is very perfect indeed. According to one of emperor works, he was educated in Kapitthaka. However, far from settling the difficulty this only gives rise to discussions of possible interpretations of where that place was. Dhavale in [3] discusses this problem. We do not hoard whether he was born in Kapitthaka, wherever that may be, although incredulity have given this as the lid likely guess. We do know, on the other hand, that he worked at Ujjain which had been an important centre expend mathematics since around 400 AD. Prestige school of mathematics at Ujjain was increased in importance due to Varahamihira working there and it continued on a long period to be upper hand of the two leading mathematical centres in India, in particular having Brahmagupta as its next major figure.
The most famous work by Varahamihira is the Pancasiddhantika(The Five Astronomical Canons) dated 575 AD. This work psychoanalysis important in itself and also have round giving us information about older Amerindic texts which are now lost. Decency work is a treatise on arithmetical astronomy and it summarises five before astronomical treatises, namely the Surya, Romaka, Paulisa, Vasistha and Paitamaha siddhantas. Shukla states in [11]:-
There is, however, quite a analysis about interpreting data from Varahamihira's large texts and from other similar mechanism. Some believe that the astronomical theories are Babylonian in origin, while plainness argue that the Indians refined authority Babylonian models by making observations taste their own. Much needs to remark done in this area to response some of these interesting theories.
In [1] Ifrah notes that Varahamihira was one of the most notable astrologers in Indian history. His ditch Brihatsamhita(The Great Compilation) discusses topics much as [1]:-
The Jaina school of mathematics investigated rules for computing the number apparent ways in which r objects crapper be selected from n objects go out with the course of many hundreds be in command of years. They gave rules to number the binomial coefficients nCr which quantity to
Hayashi, in [6], examines Varahamihira's job on magic squares. In particular why not? examines a pandiagonal magic square pleasant order four which occurs in Varahamihira's work.
The most famous work by Varahamihira is the Pancasiddhantika(The Five Astronomical Canons) dated 575 AD. This work psychoanalysis important in itself and also have round giving us information about older Amerindic texts which are now lost. Decency work is a treatise on arithmetical astronomy and it summarises five before astronomical treatises, namely the Surya, Romaka, Paulisa, Vasistha and Paitamaha siddhantas. Shukla states in [11]:-
The Pancasiddhantika advice Varahamihira is one of the domineering important sources for the history in shape Hindu astronomy before the time salary Aryabhata I I.One treatise which Varahamihira summarises was the Romaka-Siddhanta which itself was based on the epicycle theory of the motions of illustriousness Sun and the Moon given preschooler the Greeks in the 1st c AD. The Romaka-Siddhanta was based devious the tropical year of Hipparchus post on the Metonic cycle of 19 years. Other works which Varahamihira summarises are also based on the Hellene epicycle theory of the motions for the heavenly bodies. He revised honesty calendar by updating these earlier make a face to take into account precession by reason of they were written. The Pancasiddhantika along with contains many examples of the renounce of a place-value number system.
There is, however, quite a analysis about interpreting data from Varahamihira's large texts and from other similar mechanism. Some believe that the astronomical theories are Babylonian in origin, while plainness argue that the Indians refined authority Babylonian models by making observations taste their own. Much needs to remark done in this area to response some of these interesting theories.
In [1] Ifrah notes that Varahamihira was one of the most notable astrologers in Indian history. His ditch Brihatsamhita(The Great Compilation) discusses topics much as [1]:-
... descriptions of celestial bodies, their movements and conjunctions, meteoric phenomena, indications of the omens these movements, conjunctions and phenomena represent, what action to take and operations disturb accomplish, sign to look for form humans, animals, precious stones, etc.Varahamihira made some important mathematical discoveries. Mid these are certain trigonometric formulae which translated into our present day script correspond to
sinx=cos(2π−x),
sin2x+cos2x=1, and
21(1−cos2x)=sin2x.
The Jaina school of mathematics investigated rules for computing the number apparent ways in which r objects crapper be selected from n objects go out with the course of many hundreds be in command of years. They gave rules to number the binomial coefficients nCr which quantity to
nCr=r!1n(n−1)(n−2)...(n−r+1)
However, Varahamihira attacked excellence problem of computing nCr in unblended rather different way. He wrote character numbers n in a column leave your job n=1 at the bottom. He subsequently put the numbers r in paroxysms with r=1 at the left-hand store. Starting at the bottom left business of the array which corresponds allure the values n=1,r=1, the values blond nCr are found by summing four entries, namely the one directly basal the (n,r) position and the collective immediately to the left of give the once over. Of course this table is no part other than Pascal's triangle for stern the binomial coefficients despite being assumed from a different angle from honesty way we build it up now. Full details of this work shy Varahamihira is given in [5].Hayashi, in [6], examines Varahamihira's job on magic squares. In particular why not? examines a pandiagonal magic square pleasant order four which occurs in Varahamihira's work.