Translation of the Sûrya-Siddhânta: A Text-book of Hindu Astronomy; with Notes, and an Appendix, Containing Additional Notes and Tables, Calculations of Eclipses, a Stellar Map, and IndexesFor the American oriental society, printed by E. Hayes, 1860 - 354페이지 |
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according amount apparent apsis Arab ascension ascensional difference ascertain asterisms astronomical calculation centre chapter circle Colebrooke commentary conjunction correction corresponding daily motion declination deduct deflection derived determined diameter direction distance divided earth eclipsed body ecliptic-point epicycle equal equation equinoctial shadow equinox equivalent error farther given gives gnomon Greek half-duration Hindu astronomy horizon hour-angle hundred hypothenuse India interval Iron Age junction-star Jupiter Krttika latitude latter lunar days lunar eclipse mean motion mean place measure Mercury meridian method midnight moon's mean multiplied nakshatra node number of revolutions orbit parallax parallax in latitude parallax in longitude passage planets polar longitude position precession prime vertical proportion quadrant radius reckoned regarded respectively result right ascension Saturn Siddhanta sidereal sidereal day sieu signs sine sphere stars subtract sun and moon sun's sunrise Surya-Siddhanta tion translation treatise true longitude Venus vernal equinox verse yojanas zenith-distance
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324 페이지 - On the Notions of the Hindu Astronomers concerning the Precession of the Equinoxes and Motions of the Planets...
38 페이지 - Hindu calculations are made, are, on the one hand, the equality of the square of the hypothenuse in a right-angled triangle to the sum of the squares of the other two sides, and, on the other hand, the proportional relation of the corresponding parts of similar triangles. The first of these principles gave the Hindus the sine of the complement of any arc of which the sine was already known, it being 'equal to the square root of the difference between the squares of radius and of the given sine. This...
83 페이지 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
324 페이지 - If these circumstances, joined to a resemblance, hardly to be supposed casual, which the Hindu astronomy, with its apparatus of eccentrics and epicycles, bears in many respects to that of the Greeks, be thought to authorize a belief that the Hindus received from the Greeks that knowledge which enabled them to correct and improve their own imperfect astronomy, I shall not feel inclined to dissent from the opinion.
24 페이지 - In that poem, and to the general apprehension of the Hindus, Lanka is the island Ceylon; in the astronomical geography, however (see below, xii. 39), it is a city, situated upon the equator. How far those who established the meridian may have regarded the actual position of Ceylon as identical with that assigned to Lanka might not be easy to determine. The " seat of the gods " is Mount Meru, situated at the north pole (see below, xii.
47 페이지 - Evidently, because it was wrongly assumed that the motion of the apsides is only 0-1161" seconds per annum, it was conjectured that this was nothing but the Sidereal Year, the difference being infinitesimal (2'79 seconds). " The period of the planets' revolution about the centre of the epicycle is the time which it takes the latter to make the circuit of the orbit from the apsis around to the apsis again, or the period of its anomalistic revolution. This is almost precisely equal to the period of...
77 페이지 - ... portion (bhoya). To find the current lunar day, we divide by this amount the whole excess of the longitude of the moon over that of the sun at the given time; and to find the part past and to come of the current day, we convert longitude into time in a manner analogous to that employed in the case of the yoga. Thus, to find the date in lunar time of the midnight preceding the first of January, 1860, we first deduct the longitude of the sun from that of the moon ;
ii 페이지 - A lunar month, of as many lunar days (tithï); a solar (sàura) month is determined by the entrance of the sun into a sign of the zodiac : twelve months make a year We have here described days of three different kinds, and months and years of four; since, according to the commentary, the last clause translated means that twelve months of each denomination make up a year of the same denomination. Of some of these, the practical use and value will be made to appear later ; but as others are not elsewhere...
79 페이지 - At its centre set up the gnomon, of twelve digits of the measure fixed upon ; and where the extremity of its shadow touches the circle in the former and after parts of the day, 3.
197 페이지 - ... contrary, it is north. The right ascension of the star is ascertained by calculation from the hour of the night, and from the right ascension of the sun for that time. The declination of the corresponding point of the ecliptic being found, the sum or difference of the declinations, according as they are of the same or of different denominations, is the distance of the star from the ecliptic. The longitude of the same point is computed; and from these elements, with the actual precession of the...