COSMOS, VOL. II - World eBook Library
COSMOS, VOL. II - World eBook Library COSMOS, VOL. II - World eBook Library
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.
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- Page 203 and 204: 548 COSMOS. the Euphrates, and the
- Page 205 and 206: 550 COSMOS. The enjoyment of a long
- Page 207 and 208: 552 COSMOS. became extinguished wit
- Page 209 and 210: 554 COSMOS. Thus there arose connec
- Page 211 and 212: 556 COSMOS. geography. He remarks,
- Page 213 and 214: 558 COSMOS. oscillations of the ear
- Page 215 and 216: 560 COSMOS. ledge of the complete i
- Page 217 and 218: 562 COSMOS. in the Catoptrica of Ar
- Page 219 and 220: 564 COSMOS. whole of antiquity noth
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- Page 223 and 224: 568 COSMOS. Such unnatural impedime
- Page 225 and 226: 570 COSMOS ceased to be associated
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- Page 235 and 236: 580 COSMOS. distilled mercury from
- Page 237 and 238: 582 COSMOS. in the short space of s
- Page 239 and 240: 584 COSMOS. the amount of knowledge
- Page 241 and 242: 5S6 COSMOS. all the adherents of Is
- Page 243 and 244: 588 COSMOS. area over which the pec
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- Page 247 and 248: 592 COSMOS. Although the purity and
- Page 249: 594 COSMOS. medical knowledge of th
- Page 253 and 254: 598 COSMOS. problem, concerning whi
- Page 255 and 256: 600 COSMOS. more abstruse departmen
- Page 257 and 258: 602 COSMOS. was as yet unaided by t
- Page 259 and 260: 604 COSMOS. peopled from Iceland a
- Page 261 and 262: 606 COSMOS. Certain accounts of the
- Page 263 and 264: 608 COSMOS. inhabitants of the isla
- Page 265 and 266: 610 COSMOS. That this first discove
- Page 267 and 268: 612 COSMOS. the opposite coast, Hel
- Page 269 and 270: 614 COSMOS. And yet it was of this
- Page 271 and 272: 616 COSMOS. Augustine to Alcuiii, J
- Page 273 and 274: 618 COSMOS. Albertus Magnus, of the
- Page 275 and 276: 620 COSMOS. tlie Almagest. As lie,
- Page 277 and 278: 622 COSMOS. tion assumed by this st
- Page 279 and 280: 624 COSMOS. Two centuries before th
- Page 281 and 282: 626 COSMOS. of Marco Polo's narrati
- Page 283 and 284: G28 COSMOS. the middle ages, have b
- Page 285 and 286: 630 COSMOS. mariner and a successfu
- Page 287 and 288: 632 COSMOS The influence exercised
- Page 289 and 290: 634 COSMOS. landed on the eastern c
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- Page 293 and 294: 638 COSMOS. would appear from Las C
- Page 295 and 296: 640 COSMOS. and the variations in t
- Page 297 and 298: 642 COSMOS. passage to Catliai (Chi
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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