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Varahamihira’s mathematical work included the discovery of the trigonometric formulas. He improved the accuracy of the sine tables of Aryabhata l. He defined the algebraic properties of zero as well as of negative numbers. Furthermore, He was among the first mathematicians to discover a version of what is now known as the Pascal’s triangle. He used it to calculate the binomial coefficients.

Varahamihira made some significant observations in the field of ecology, hydrology and geology too. He was the first person who predicted underground water. His claim that plants and termites serve as indicators of underground water is now receiving attention in the scientific world.

Varahamihira, without any scientific equipment, derived the true value of equinox. This value is very important for the modern day Geostationary Satellites.

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Comets

Comets

Varahamihira in 550 AD have described a large number of comets in the Brhat Samhita. He wrote over sixty couplets about comets. He did not have the modern facilities like Telescope or other electronic equipment. He says that sages Garga, Parasara, Asita, Devala and others had already written abou...

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Another important contribution to trigonometry was his sine tables where he improved those of Aryabhata I giving more accurate values. It should be emphasised that accuracy was very important for these Indian mathematicians since they were computing sine tables for applications to astronomy and a...

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• Vasishtha Siddhanta, which is so called from one of the stars of the Great Bear, was composed by Vishnucandra.

• Paulisa Siddhanta was taken from Pulisa which is supposed to be from Alexandria and was composed by Pulisa.

• Romaka Siddhanta was the Doctrine of the Romans, which is th...

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However, Varahamihira attacked the problem of computing _{n}C_{r}n​Cr​ in a rather different way. He wrote the numbers nn in a column with n = 1n=1 at the bottom. He then put the numbers rr in rows with r = 1r=1 at the left-hand side. Starting at the bottom left side of the array which correspond...

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Trigonometric

Varahamihira made some important mathematical discoveries. Among these are certain trigonometric formulae which translated into our present day notation correspond to

\sin x = \cos(\large\frac{\pi}{2}\normalsize - x)sinx=cos(2π​−x),

\sin^{2}x + \cos^{2}x = 1sin2x+cos2x=1, and

\l...

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Permutation And Combinations

Permutation And Combinations

Another important contribution to trigonometry was his sine tables where he improved those of Aryabhata I giving more accurate values. It should be emphasised that accuracy was very important for these Indian mathematicians since they were computing sine tables for applications to astronomy and a...

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Pascal’s Triangle And Magic Square

Of course this table is none other than Pascal's triangle for finding the binomial coefficients despite being viewed from a different angle from the way we build it up today. Full details of this work by Varahamihira is given in 

Hayashi, in , examines Varahamihira's work on magic squares. ...

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Varahamihira made some important mathematical discoveries. Among these are certain trigonometric formulae which translated into our present day notation correspond to

\sin x = \cos(\large\frac{\pi}{2}\normalsize - x)sinx=cos(2π​−x),

\sin^{2}x + \cos^{2}x = 1sin2x+cos2x=1, and

\l...

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Gravity

The force is now called gravity. He proposed that the Moon and planets are lustrous not because of their own light but due to sunlight.

Varahamihira’s main work is the book Pancha Siddhantika (Treatise on the five Astronomical Canons gives us information about older Indian texts which are n...

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the discovery of the trigonometric formulas. He improved the accuracy of the sine tables of Aryabhata l. He defined the algebraic properties of zero as well as of negative numbers. Furthermore, He was among the first mathematicians to discover a version of what is now known as the Pascal’s triang...

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•Varahamihira made some significant observations in the field of ecology, hydrology and geology too. His claim that plants and termites serve as indicators of underground water is now receiving attention in the scientific world. He was also a prolific writer. His mastery of Sanskrit grammar and p...

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The present version of Surya Siddhanta, which is often used by Panchang experts to predict festive dates and nakshatras, was modified by Bhaskaracharya during the Middle Ages.

It is learnt, Varahamihira humbly said about his own treatises: “The science of Astrology is a vast ocean and is no...

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Surya Siddhanta & description on planet Mars:

Pancha siddhantika includes Surya Siddhanta, an astronomical treatise which explains or determines the true motions of the luminaries.Under this work,he has also explained the estimated diameters of the planets, like Mercury,Venus,Mars,Saturn and Jupiter.

The book gave the locations of seve...

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Mars

Mars

Surya Siddhanta mentioned the Mars’s diameter (which was calculated to be 3,772 miles that has an error within 11% of the currently accepted diameter of 4,218 miles), circumference and also carries calculations on and about solar eclipses and lunar eclipses, its color and portion of the moon as w...

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Works of Varahamihira

Varahamihira made great contributions not only in the field of mathematics; he was also an astrologer and is considered among the greatest Acharyas of modern astrology. Varahamihira’s son Prithuyasas also contributed to Hindu astrology and his book Hora Sora is a famous book on horoscopy. Listed ...

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•His encyclopaedic knowledge and his lively presentation of subjects, as dry as astronomy, made him a celebrated figure. His treatise such as Pancha Siddhantika (Five Principles), Brihatsamhita (Master Collection), Brahjataka(Astrological work) have put him on as high a pedestal in Astrology as K...

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Varahamihira’s mathematical work included the discovery of the trigonometric formulas. He improved the accuracy of the sine tables of Aryabhata l. He defined the algebraic properties of zero as well as of negative numbers. Furthermore, He was among the first mathematicians to discover a version o...

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Varahamihira, therefore, shifted to this city, where scholars from distant lands were gathering. In due course, his astrological skills came to the notice of King Yashodharman Vikramaditya of Malwa, who made him one of the Nine Gems of his court.

Varahamihira was learned in the Vedas, but h...

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Brihat- Samhita: Varahamihira's most notable work, the Brihat- Samhita is an encyclopaedic work, mostly about divination but also includes work on architecture, temples, planetary motions, eclipses, timekeeping, astrology, seasons, cloud formation, rainfall, agriculture, mathematics, gemology, pe...

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Brihat-Samhita

It is acclaimed that Pancha Siddhantika of Varahamihira is one of the most important sources for the history of Hindu Astronomy from before the time of Aryabhata.

Another important contribution of Varahamihira is the encyclopaedic Brihat-Samhita. It covers wide ranging subjects of human int...

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10. Varahamihira

10. Varahamihira

Varahamihira was born in 505 A.D. into a family of Brahmins settled at Kapittha, a village near Ujjain. His father, Adityadasa was a worshipper of the Sun god and it was he who taught Varahamihira astrology. On a visit to Kusumapura (Patna) young Varahamihira met the great astronomer and mathemat...

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His claim that plants and termites serve as indicators of underground water is now receiving attention in the scientific world.

Varahamihira, without any scientific equipment, derived the true value of equinox. This value is very important for the modern day Geostationary Satellites.

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86 reads

The 5 Siddhantas

The work is a treatise on mathematical astronomy and it summarises 5 earlier astronomical treatises, namely the Surya, Romaka, Paulisa, Vasishtha and Paitamaha Siddhantas. It is a compendium of Vedanga Jyotisha as well as Hellenistic astronomy including Greek and Roman elements. The five siddhant...

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Solar Sy

He was the first to mention and explain how each planet in the solar system has been created by and centered on the sun.

It’s intriguing to know that during NASA’s Mars mission, Arun Upadhyay, a retired IPS, did a comparative study of Varāhamihira’s calculations about Mars and found certain...

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