Mathematician bhaskaracharya wikipedia

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Mathematician bhaskaracharya wikipedia: Bhāskara (c. – c.

ISBN For example, Satara and Kolhapur are two cities on almost the same longitude. The difference between their latitudes is one degree and the distance between them is kilometers. Once the circumference is fixed it is easy to calculate the diameter. His value of the diameter of the Earth is yojane i. The modern values of the circumference and the diameter of the Earth are and kilometers respectively.

The values given by Bhaskara are astonishingly close. For astronomical calculations, Bhaskara selected a set of eight right angle triangles, similar to each other. One of the angles of all the triangles is the local latitude. If the complete information of one triangle is known, then the information of all the triangles is automatically known.

Out of these eight triangles, complete information of one triangle can be obtained by an actual experiment. Then using all eight triangles virtually hundreds of ratios can be obtained. This method can be used to solve many problems in astronomy.

Mathematician bhaskaracharya wikipedia: Bhāskara II also known as

Ancient Indian Astronomers knew that there was a difference between the actual observed timing of a solar eclipse and timing of the eclipse calculated from mathematical formulae. This is because calculation of an eclipse is done with reference to the center of the Earth, while the eclipse is observed from the surface of the Earth. He realized that parallax was maximum when the Sun or the Moon was on the horizon, while it was mathematician bhaskaracharya wikipedia when they were at zenith.

The maximum parallax is now called Geocentric Horizontal Parallax. By applying the correction for parallax exact timing of a solar eclipse from the surface of the Earth can be determined. In this chapter of Goladhyay, Bhaskar has discussed eight instruments, which were useful for observations. The names of these instruments are, Gol yantra armillary sphereNadi valay equatorial sun dialGhatika yantra, Shanku gnomonYashti yantra, Chakra, Chaap, Turiya, and Phalak yantra.

Out of these eight instruments Bhaskara was fond of Phalak yantra, which he made with skill and efforts. This instrument deserves to be mentioned specially. The idea was that the intelligence of human being itself was an instrument. Here Bhaskara was talking about extracting astronomical information by using an ordinary stick. One can use the stick and its shadow to find the time, to fix geographical north, south, east, and west.

One can find the latitude of a place by measuring the minimum length of the shadow on the equinoctial days or pointing the stick towards the North Pole. One can also use the stick to find the height and distance of a tree even if the tree is beyond a lake. This device could vary from a simple stick to V-shaped staffs designed specifically for determining angles with the help of a calibrated scale.

Create account or Sign in. Show Comments. Unless otherwise stated, the content of this page is licensed under Creative Commons Attribution-ShareAlike 3. Wikidot - Free and Pro Wiki Hosting your place on the web. Souls Lore. Click here to edit contents of this page. He was the first mathematician to openly discuss quadrilaterals with four unequal, nonparallel sides.

The book deals with topics such as the longitudes of the planets, the conjunctions among the planets and stars, the phases of the moon, solar and lunar eclipsesand the rising and setting of the planets. Contents move to sidebar hide. Article Talk. Read Edit View history. Tools Tools. Download as PDF Printable version. In other projects.

Mathematician bhaskaracharya wikipedia: Bhaskara II or Bhaskaracharya

Wikidata item. Indian mathematician and astronomer For others with the same name, see Bhaskara disambiguation. Biography [ edit ]. Representation of numbers [ edit ]. Further contributions [ edit ]. Mathematics [ edit ]. Bibliography [ edit ]. Kim Plofker Mathematics in India. Princeton University Press. External links [ edit ]. Indian mathematics.

Mahalanobis Subrahmanyan Chandrasekhar C. Rao Veeravalli S. Varadarajan S. Srinivasa Varadhan K. Parthasarathy probabilist M. Narasimhan C.