One of the Mathematical place in India…..Jantar Mantar

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    2068

     

    Jantar Mantar is the one of the mathematical place in india. The word Jantra is derived from yantra, instrument, while the suffix Mantar is derived from mantrana meaning consult or calculate.The words jantar and ‘mantar (or yantra and mantra) means calculation instrument.

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    Jantar mantar also know as the equinoctial sundial.Because it consists gigantic triangular gnomon which having the hypotenuse parallel to the Earth‘s axis.There is a quadrant of a circle, parallel to the plane of the equator on the either side of the gnomon. So this is used to measure the time of the day.

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    In india there are 5 jantar mantar and from those largest one is Jaipur Jantar mantar.

    History

    In the 18th century, Maharaja Jai Singh II of Jaipur constructed five Jantar Mantars. In places like New Delhi, Jaipur, Ujjain, Mathura and Varanasi. They were completed between 1724 and 1735.

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    The jantars have evocative names like Samrat Yantra, Jai Prakash, Ram Yantra and Niyati Chakra; each of which are used to for various astronomical calculations. The primary purpose of was to compile astronomical tables, and to predict the times and movements of the sun, moon and planets.

    Jantar Mantar, Jaipur

    It name was inscribed on the UNESCO World Heritage Site. The construction was completed in 1734 CE.The features of this stone and brass instruments that were built using astronomy and instrument design principles of ancient Hindu Sanskrit texts. This monument operating in each of the three main classical celestial coordinate systems:

    • the horizon-zenith local system
    • the equatorial system
    • the ecliptic system

    To transfer from equatorial  to elliptical the Kapala Yantraprakara is used. The Kapala is an instrument which has been described in the suryasiddanta.

    The monument was damaged in the 19th century. Restoration work was undertaken by the Major Arthur Garrett, a keen amateur astronomer, during his appointment he was the  Assistant State Engineer for the Jaipur District.

    Construction:

    Jantar mantar was built by local stone and marble. Each instrument having  an astronomical scale. It was marked on the inner lining of the marble. Bronze tablets, bricks and mortar were also used in building the instruments. Area of the monument is about 18,700 square metres. In 20 th century the original materials are used for the reconstruction of the monument.

    Jantar Mantar is managed under the Archeological Sites and Monuments Act of Rajasthan since 1961, and protected as a National Monument of Rajasthan since 1968

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    (in jaipur)

    Description of yantras:

    • Chakra Yantra

    four semicircular arcs on which a gnomon casts a shadow, thereby giving the declination of the Sun at four specified times of the day. This is equivalent of a wall of clocks registering local times in different parts of the world.

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    • Dakshin Bhitti Yantra

    measures meridian, altitude and zenith distances of celestial bodies.

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    • Digamsha Yantra

    a pillar in the middle of two concentric outer circles, used to measure azimuth of the sun, and to calculate the time of sunrise and sunset forecasts.

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    • Dhruva Darshak Pattika

    observe and find the location of pole star with respect to other celestial bodies.

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    • Jai Prakash Yantra

    two hemispherical bowl-based sundial with marked marble slabs that map inverted image of sky and allows the observer to move inside the instrument, measures altitudes, azimuths, hour angles and declinations.

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    • Kapali Yantra

    measures coordinates of celestial bodies in azimuth and equatorial systems, any point in sky can be visually transformed from one coordinate system to another.

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    • Kranti Vritta Yantra

    measures longitude and latitude of celestial bodies.

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    • Laghu Samrat Yantra

    the smaller sundial at the monument, inclined at 27 degrees, to measure time, less accurate than Vrihat Samrat Yantra.

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    • Nadi Valaya Yantra

    two sundials on different faces of the instrument, the two faces represent north and south hemispheres, the accuracy of the instrument in measuring the time is less than a minute.

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    • Rama Yantra

    a double cylinder instrument that measures azimuth and altitudes of celestial bodies.

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    • Rashi Valaya Yantra

    12 gnomon dials that measure ecliptic coordinates of stars, planets and all 12 constellation systems.

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    • Shastansh Yantra

    next to Vrihat Samrat Yantra, this instrument is a 60 degree arc built in the meridian plane within a dark chamber. At noon, the sun’s pinhole image falls on a scale below enabling the observer to measure the zenith distance, declination, and the diameter of the Sun.

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    • Unnatasha Yantra

    a metal ring divided into four segments by horizontal and vertical lines, with a hole in the middle; the position and orientation of the instrument allows measurement of the altitude of celestial bodies.

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    • Vrihat Samrat Yantra

    world’s largest gnomon sundial, measures time in intervals of 2 seconds using shadow cast from the sunlight.

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    • Yantra Raj Yantra

    a 2.43-metre bronze astrolabe, one of the largest in the world, used only once a year, calculates the Hindu calendar.

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    Jantar Mantar, New Delhi

     

    The Jantar Mantar is located in the modern city of New Delhi. It consists of 13 architectural astronomy instruments. The construction was completed in 1724.

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    There are 3 instruments

    • Samrat Yantra

      The Samrat Yantra also called as Supreme Instrument. It is a giant triangle that is basically an equal hour sundial. It is 70 feet high, 114 feet long at the base, and 10 feet thick. It has a 39 m hypotenuse that is parallel to the Earth’s axis and points toward the North Pole. On either side of the triangle is a quadrant with graduations indicating hours, minutes, and seconds. At the time of the Samrat Yantra’s construction, sundials already existed, but the Samrat Yantra turned the basic sundial into a precision tool for measuring declination and other related coordinates of various heavenly bodies.Image result for samrat yantra

     

    • Jayaprakash Yantra

      The Jayaprakash consists of hollowed out hemispheres with markings on their concave surfaces. Crosswires were stretched between points on their rim. From inside the Ram, an observer could align the position of a star with various markings or a window’s edge.Image result for jayaprakash yantra

    • Misra Yantra

      The Misra Yantra was designed as a tool to determine the shortest and longest days of the year. It could also be used to indicate the exact moment of noon in various cities and locations regardless of their distance from Delhi.Image result for misra yantra

    The theories behind the instruments are found in texts by the 5th century CE Aryabhatta, 6th century CE Brahmagupta and Varahamihira, 9th century Lalla, 11th century Sripati and Bhaskara.

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