Miscellaneous Essays, 2권Wm. H. Allen, 1837 |
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ABU MASHAR according algebra Amera ancient appears Arabian Arabic arithmetic armillary sphere ÁRYABHATTA asterism astrologer astronomers BHÁSCARA BHATTA BRAHM Brahma siddhanta Bráhme BRAHMEGUPTA BUDDHA calpa CASIRI century circle cited colures commentary commentator compilation comprises computation contains copy cósha COSSALI couplet CRISHNA degree denominated DÉVA dialect DIOPHANTUS earth ecliptic entitled epicycle equal equations equinox exhibited ganita grammar Greek Hindu Hindu astronomers indeterminate problems Indian inscription instance Jainas Jina king language latitude libration longitude lunar mansion mentioned Mésha metre MIHIRA moon motion MUHAMMED nacshatra noticed observed original passage planets poem Prácrit present volume prince prosody purána quotations quoted remark revolution roots rules sanhitá Sanscrit scholiast sect siddhanta Sirómani species sphere spondee square stanza stars Súrya siddhánta SWÁMÍ syllables tantra term tion translation treatise ULUGH BEG VARÁHAMIHIRA Vásaná Védas verse Vija VISHNU Vrihat vritti words writers yuga zodiac
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518 페이지 - ... of the roots; the moiety is five. Multiply this by itself; the product is twenty-five. Subtract from this the twenty-one which are connected with the square; the remainder is four. Extract its root; it is two. Subtract this from the moiety of the roots, which is five; the remainder is three. This is the root of the square which you required, and the square is nine. Or you may add the root to the moiety of the roots; the sum is seven; this is the root of the square which you sought for, and the...
75 페이지 - In this singular poem, rhyme and alliteration are combined in the termination of the verses : for [75] the three or four last syllables of each hemistich within the stanza are the same in sound though different in sense. It is a series of puns on a pathetic subject. It is supposed to have been written in emulation of a short poem (of twenty-two stanzas) similarly constructed, but with less repetition of each rhyme ; and entitled, from the words of the challenge with which it concludes, Ghata-karpara.
483 페이지 - ADITYADASA, an astrologer of Ujjayani, who appears to have flourished at the close of the fifth, or beginning of the sixth century of the Christian era. He was preceded, as it seems, by another of the same name, who lived, according to the chronologists of Ujjayani, at the close of the second century. He may have been followed by a third, who is said to have flourished at the court of RAJA Bn6jA D£VA of Dhara, and to have had SATANANDA, the author of the Bhaswat'i, for his scholar.
235 페이지 - King of Sakambhari, most eminent of the tribe which sprang from the arms (of Brahma), now addresses his own descendants : By us the region of the earth between Himavat and Vindhya has been made tributary ; let not your minds be void of exertion to subdue the remainder. Tears are evident in the eyes of thy enemy's consort ; blades of grass are perceived between thy adversaries...
445 페이지 - Hindus had undoubtedly made some progress at an early period in the astronomy cultivated by them for the regulation of time. Their calendar, both civil and religious, was governed chiefly, not exclusively, by the moon and the sun : and the motions of these luminaries were carefully observed by them, and with such success, that their determination of the moon's synodical revolution, which was what they were principally concerned with, is a much more correct one than the Greeks ever achieved.
192 페이지 - ... a similar practice, and maintaining like opinions and observances. The essential character of the Hindu institutions is the distribution of the people into four great tribes. This is considered by themselves to be the marked point which separates them from Mltch'kas or Barbarians.
314 페이지 - Jaina, rather than that there have been none. Gautama's followers constitute the sect of Buddha, with tenets in many respects analogous to those of the Jainas, or followers of Sudharma, but with a mythology or fabulous history of deified saints quite different. Both have adopted the Hindu Pantheon, or assemblage of subordinate deities ; both disclaim the authority of the Vedas ; and both elevate their pre-eminent saints to divine supremacy.
517 페이지 - Reduction are of three kinds, namely, roots, squares, and simple numbers relative to neither root nor square. A root is any quantity which is to be multiplied by itself, consisting of units, or numbers ascending, or fractions descending. A square is the whole amount of the root multiplied by itself. A simple number is any number which may be pronounced without reference to root or square. A number belonging to one of these three classes may be equal to a number of another class; you may say, for...
7 페이지 - The studied brevity of the Pan inly a sutras renders them in the highest degree obscure; even with the knowledge of the key to their interpretation, the student finds them ambiguous. In the application of them, when understood, he discovers many seeming contradictions, and with every exertion of practised memory, he must experience the utmost difficulty in combining rules dispersed in apparent confusion through different portions of Panini's eight -^Lectures The apparent simplicity of the design...
320 페이지 - ... Indian science, is inclined to a contrary opinion. He reckons the coincidence too exact in most things to be the effect of chance, and, from the slight difference between them, he infers that one of the two nations must have taken its zodiac from the other, but not copied it with servility. He says, « I apprehend that it must have been the. Arabs who adopted, with slight variations, a division of the zodiac familiar to the Hindoos : this, at least, seems to be more probable than the supposition...