Jantar Mantar: The Science of Indian Conjecture

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$17. C. T. Chong and Liang Yu, A$\Pi^1_1$ uniformization principle ...$

The Tangential Scale An interesting aspect of the Rama Yantra was how its architects managed to inscribe the concentric circular lines that represent the altitude on to the scale of the flans with such precision. Information on the technique and methods that they use to conduct this seemingly 50 J M
extremely difficult task is rare. However we do know that they used the vertical projection of the celestial sphere on a tangential scale. (Refer to diagram below) Limitations of the Rama Yantra It was difficult to avoid touching intersection while observing two stars at very large altitude using the Rama Yantra, because they would then appear to be very close together -- especially so if both of them were located very close to the zenith, where the gnomon would become a further vision obstacle. However this could be countered by knowing the coordinate measurement of the zenith and making a close estimate of the stars very near to it. 51 J M
Page 2 and 3: 2 J M
Page 4 and 5: C O N T E N T S INTRODUCTION SECTIO
Page 6 and 7: Introduction Clearly visible from a
Page 8 and 9: SECTION I 8 J M
Page 10 and 11: Maharaja Sawai Jai Singh II It was
Page 12 and 13: e concluded that Jai Singh felt eve
Page 14 and 15: The Delhi Observatory It is intrigu
Page 16 and 17: To illustrate: the Rama Yantra at D
Page 18 and 19: the medium of Hindu tradition and l
Page 20 and 21: To strengthen his political power a
Page 22 and 23: The observatory of Jaipur, which wa
Page 24 and 25: Instrument Nomenclature and the Man
Page 26 and 27: The Instruments of the Jantar Manta
Page 28 and 29: they are described by Jai Singh to
Page 30 and 31: 44 meters and ascends to 27 meters.
Page 32 and 33: Every hour, the shadow on the gnomo
Page 34 and 35: measurements, especially taking int
Page 36 and 37: 36 J M
Page 38 and 39: Second Coordinates Measurement Syst
Page 40 and 41: 40 J M
Page 42 and 43: The Great Jai Prakash Yantra It was
Page 44 and 45: Limitations Although these inventio
Page 46 and 47: Brief Introduction The Rama Yantra
Page 48 and 49: Sidereal Application The procedures
Page 52 and 53: The main problem with the Rama Yant
Page 54 and 55: The Digamsa Yantra Introduction The
Page 56 and 57: Function The observer stands betwee
Page 58 and 59: The main cause for this breakage in
Page 60 and 61: night when the sun goes below the h
Page 62 and 63: The Other Observatories Jai Singh b
Page 64 and 65: ENDNOTE One of the main obstacles t
Page 66: test page 66 J M

Jantar Mantar: The Science of Indian Conjecture

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