344 BRAHMAGUPTA AND ASTRONOMICAL INSTRUMENTS some other proposed object; and to bring the moveable circle of declination over it. The distance in degrees, from the inter- section of this circle and ecliptic, to the end of Mina or Pisces, is its longitude (dhruvaka) in degrees; and the number of degrees on the moveable circle of declination, from the same intersection to the place of the star, is its latitude (vikşepa) North or South. The commentators have rightly remarked that the "latitude so found is sphuta or apparent, being the place intercepted bet- ween the star and the ecliptic, on a circle passing through the poles; but the true latitude (asphuta) is found on a circle hung upon the poles of the celestial sphere as directed in another place". (From Colebrooke's Paper on the Indian and Arabian Divisions of the Zodiac, Miscellaneous Essays, Vol. II, 324-326). For the details of the Golayantra, readers are requested to refer to the description in the Siddhanta-Siromani of Bhas- kara II, Reference yantradhyaya in-BrSpSi. The Mahabhäskanya. Bhaskara I : Commentary on the Aryabhatiya. Paramadiśvara : Bhaṭadipikā, a commentary on the Aryabhatiya, H.T. Colebrooke : Miscellaneous Essays, Vol. II., 1872. Brahmagupta K.S. Shukla :
