COSMOS, VOL. II - World eBook Library

COSMOS, VOL. II - World eBook Library COSMOS, VOL. II - World eBook Library

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THE ASABS. 595 between Tadmor and Rakka, by observers whose names have IKVII transmitted to us bv Ebn-Junis, has proved less important in its results than by the evidence which it affords of the scientific culture of the Arabian race. >\V must regard among the results yielded by the reflection of this culture, in the west, the astronomical congress held at Toledo, in Christian Spain, under Alfonso of Castille, in which the Rabbin Isaac Ebn Sid liazan played an important and in the far east, the observatory founded by Ilschan part ; Holagu, the grandson of the great conqueror Kenghis Khan, on a hill near Meraghar, and supplied with many instruments. It was here that Nassir Eddin of Tus, in Khorasan, made his observations . These individual facts deserve to be noticed in a history of the contemplation of the universe, since they tend vividly to remind us of how much the Arabs have effected in diffusing knowledge over vast tracts of territory and in accumulating those numerical data which contributed in a jjreat degree during the important period of Kepler and Tycho, to lay the foundation of theoretical astronomy, and of correct views of the movements of the heavenly bodies. The spark kindled in those parts of Asia which were peopled by Tartars spread, in the fifteenth century, westward to Samar- cand, where Ulugh Beig, of the race of Timour, esta- blished, besides an observatory, a gymnasium after the manner of the Alexandrian Museum, and caused a catalogue of stars to be drawn up, which was based on wholly new and independent observations.* Besides making laudatory mention of that which we owe to the natural science of the Arabs in both the terrestrial and celestial spheres, w r e must likewise allude to their contributions in separate paths of intellectual development to the general mass of mathematical science. According to the most recent works which have appeared in England, France, and Germanyf on the history of mathematics, we learn that "the * On the observatory of Meragha, see Delambre, Histoire de I'Astro- nomie du Moyen Age, pp. 198-203; and Am. Se"dillot, Mem. sur lea Instrumens Arobes, 1841, pp. 201-205, where the gnomon is described with a circular opening. On the peculiarities of the star catalogue of Ulugh Beig, see J. J. Sgdillot, Traite des Instrument Astr&tiomiques des Arabes, 1834, p. 4. t Colebrooke, Algebra with Arithmetic an'd Mensuration, from the 2 Q 2

596 COSMOS. algebra of the Arabs originated from an Indian and a Greek source, which long flowed independently of one another." The Compendium of Algebra which the Arabian mathema- tician, Mohammed Ben-Musa (the Chorowazneir), framed by command of the Caliph Al-Mamun, was not based on Diophantus, but on Indian science, as has been shown by my lamented and too-early deceased friend, the learned Friedrich Rosen ;* and it would even appear that Indian astronomers had been called to the brilliant court of the Abassides, as early as the close of the eighth century under Almansor. Diophantus was, according to Castri and Colebrooke, first translated into Arabic by Abul-Wefa Buzjani, towards the close of the tenth century. The process of establishing a conclusion by a progressive advance from one proposition to another, which seems to have been unknown to the ancient Indian Algebraists, was acquired by the Arabs from the Alexandrian school. This noble inheritance, enriched by their additions, passed in the twelfth century, through Johannes Hispalensis and Gerhard of Cremona, into the European literature of the middle " ages.f In the algebraic works of the Indians, we find the general solution of indeterminate and a far more elaborate mode equations of the first degree, of treating those of the second, than has been transmitted to us in the writings of the Alexandrian philosophers ; there is, therefore, no doubt that if the works of the Indians had reached us two hundred years earlier, and were not now first made known to Europeans, they might have acted very bene- ficially in favouring the development of modern analysis." The same channels and the same relations which led the Sanscrit of Brahmegupta and Bhascara, Lond. 1817. Chasles, Aperpu historique sur I'origine et le developpement des methodes en Oeometrie, 1837, pp. 416-502; Nesselmann, Versuch einer Jcritischen Geschichte der Algebra, th. i. s. 30-61, 273-276, 302-306. * Algebra of Mohammed Ben Musa, edited and translated by F. Kosen, 1881, pp. viii. 72, and 196-199. The mathematical knowledge of India was extended to China about the year 720 ; when many Arabians were already but this was at a period settled in Canton and other Chinese cities. Eeinaud, Relation des Voyages faits par les A robes dans I' Inde et a la Chine, t. i. p. cix.; t. ii. p. 36. f Chasles, Histoire de I'Algebre, in the Comptes rendus, t. xiii. 1841, pp. 497-524, 601-626; compare also Libri, in the same volume, pp. 559-563.

THE ASABS. 595<br />

between Tadmor and Rakka, by observers whose names have<br />

IKV<strong>II</strong> transmitted to us bv Ebn-Junis, has proved less important<br />

in its results than by the evidence which it affords of<br />

the scientific culture of the Arabian race.<br />

>\V must regard among the results yielded by the reflection<br />

of this culture, in the west, the astronomical congress held<br />

at Toledo, in Christian Spain, under Alfonso of Castille, in<br />

which the Rabbin Isaac Ebn Sid liazan played an important<br />

and in the far east, the observatory founded by Ilschan<br />

part ;<br />

Holagu, the grandson of the great conqueror Kenghis Khan,<br />

on a hill near Meraghar, and supplied with many instruments.<br />

It was here that Nassir Eddin of Tus, in Khorasan, made his<br />

observations . These individual facts deserve to be noticed in<br />

a history of the contemplation of the universe, since they tend<br />

vividly to remind us of how much the Arabs have effected<br />

in diffusing knowledge over vast tracts of territory and in<br />

accumulating those numerical data which contributed in a<br />

jjreat degree during the important period of Kepler and<br />

Tycho, to lay the foundation of theoretical astronomy, and of<br />

correct views of the movements of the heavenly bodies. The<br />

spark kindled in those parts of Asia which were peopled by<br />

Tartars spread, in the fifteenth century, westward to Samar-<br />

cand, where Ulugh Beig, of the race of Timour, esta-<br />

blished, besides an observatory, a gymnasium after the<br />

manner of the Alexandrian Museum, and caused a catalogue<br />

of stars to be drawn up, which was based on wholly new and<br />

independent observations.*<br />

Besides making laudatory mention of that which we owe<br />

to the natural science of the Arabs in both the terrestrial<br />

and celestial spheres, w r e must likewise allude to their contributions<br />

in separate paths of intellectual development to the<br />

general mass of mathematical science. According to the most<br />

recent works which have appeared in England, France, and<br />

Germanyf on the history of mathematics, we learn that "the<br />

* On the observatory of Meragha, see Delambre, Histoire de I'Astro-<br />

nomie du Moyen Age, pp. 198-203; and Am. Se"dillot, Mem. sur lea<br />

Instrumens Arobes, 1841, pp. 201-205, where the gnomon is described<br />

with a circular opening. On the peculiarities of the star catalogue of<br />

Ulugh Beig, see J. J. Sgdillot, Traite des Instrument Astr&tiomiques<br />

des Arabes, 1834, p. 4.<br />

t Colebrooke, Algebra with Arithmetic an'd Mensuration, from the<br />

2 Q 2

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