0010 History 



Algebra, introduction into Europe, and ter- 

 minology. Libri, G. C. B. 13 (1841) 559-. 



in Italy since Fibonacci. Gerhardt, C. I. 

 Grunert Arch. 3 (1843) 284-. 



, various names for. Nesselmann, G. H. F. 



N. A. Mth. 14 (1855) 445-. 

 Algebraic notation, history. Starkov, A. P. 



Kazan S. Nt. (Ps.-Mth.) P. 3 (1885) 107-. 

 Algebraical functions, development of theory 



down to present time. Brill, A., & Noether, 



M. D. Mth. Vr. Jbr. 3 (1894) 107-. 

 Algorithm, Bolyai's. Farkas, G. Mag. Tud. 



Ak. Etk. (Mth.) 8 (1881) No. 3, 8 pp. 



of Christan of Prachatic. Studnicka, F. J. 

 Prag Sb. (1892) (Mth. Nt.) 100- ; (1893) 

 (Mth. Nt.), No. 6, 14 pp. 



, Sacrobosco's, nine "limits" in. Enestrom, 



G. Bb. Mth. (1897) 97-. 

 Algorithms, ancient. Jacobi, C. G. J. Berl. 



B. (1850) 426-. 

 , work on, 12th century, and on the spread 



of Indo-Arabic arithmetic and ciphers in 



the West. Nagl, A. Z. Mth. Ps. 34 



(H.-lt. Ab.) 129-, 161-. 

 , writing on, 12th century. Curtze, M. Z. 



Mth. Ps. 42 (1897) (Svppl.) 1-. 

 Algorithmus linealis of H. Stromer (1512). 



Gunther, S. [1880] Prag Ab. 10 (1881) 



(Mth.) No. 4, 18 pp. 

 Alhazen's problem. Baker, M. Am. J. Mth. 



4 (1881) 327-. 

 Alternants, history. Muir, T. Edinb. B. S. 



P. 23 (1902) 93-. 

 America (U.S.), study of mathematics. Cajori, 



E. Bb. Mth. (1891) 74-. 

 Analytical geometry, discovery, and work of 



Ghetaldi, 1630. Gelcich, E. Z. Mth. Ps. 27 



(1882) (Suppl.) 191-. 

 Ancient problems, two. Saalschutz,L. Konigsb. 



Schr. 39 (1898) [8]-. 

 Ancients, numerals of. Saalschiitz, L. Konigsb. 



Schr. 33 (1892) [4]-. 

 Angle-measurements by means of Hipparchus' 



dioptra. Hultsch, F. Z. Mth. Ps. 44 (1899) 



(Suppl.) 191-. 

 Apparatus for calculation, arithmetical puzzles. 



Lucas, E. Bv. Sc. 45 (1890) 1-. 

 Approximation methods, ancient. Gunther, S. 



D. Nf. [B.] (* 1877) 95-. 



, , in light of modern mathematics. 

 Gunther, S. Prag Ab. 9 (1878) (Mth.), No. 4, 

 44pp. 



Arabian Mathematics. 



Ahmed ibn Yusuf. Liber de similibus arcubus. 

 Curtze, M. Bb. Mth. (1889) 15-. 



Ahmed and his book on proportion . Cantor, M. 

 Bb. Mth. (1888) 7-. 



Algebraic geometry of Musa al-Kharizmi. 

 Marre, A. N. A. Mth. 5 (1846) 557-. 



Arabian algebra, MS. of Al-Khayyami with geo- 

 metric construction for cubic equations 

 Woepcke, F. Crelle J. 40 (1850) 160-. 



. "Messahat" of Musa al-Kharizmi. 



Marre, A. A. Mt. 7 (1865) 269-. 



algebraic notations. Woepcke, F. C E 39 

 (1854) 162-. 



Arabian Mathematics. 



History 0010 



Arabian Mathematics, continued 

 Arabian arithmetic, history. Vaux, C. de. 

 Bb. Mth. (1899) 33-. 



astronomers and mathematicians. Suter, H. 

 Bb. Mth. (1897) 83-; (1899) 86-. 



astronomy and arithmetic. MS. in pos- 

 session of Chasles. Marre, A. Bm. At. 

 N. Line. 19 (1866) 362-. 



books of the viceregal library in Cairo, 5th 

 vol. of catalogue. Suter, H. Z. Mth. Ps. 38 

 (1893) (H.-lt. Ab.) 1-, 41-, 161-. 



calculation . ' ' Talkhis ' ' of Ibn al-Bannah . 

 Marre, A. Bm. At. N. Line. 17 (1864) 289-. 



MSS., historical extracts. Woepcke, F. C. 

 B. 31 (1850) 715-. 



, two, in Berlin Boyal Library. Suter, H. 



Bb. Mth. (1898) 73-. 



methods for finding sin 1 approximately. 

 Woepcke, F. Liouv. J. Mth. 19 (1854) 153- , 

 302-. 



numerals. Cantor, M. (vi. Adds.) Heidi. 

 Vh. Nt. Md. 3 (1862-63) 5-. 



Arabic numerals, geom. form. Dubois-Maison- 



neuve, . Par. Tr. S. Amat. 2 (1808) 51-. 

 Arabs, binomial theorem, as known to. Tytler, 



J. As. Besearches 13 (1820) 457-. 

 , books of. Steinschneider, M. Z. Mth. Ps. 



10 (1865) 456-. 

 , geometrical construction of equations of 4th 



order. Woepcke, F. Liouv. J. Mth. 8 (1863) 



57. 

 , progressions among. Gunther, S. Z. Mth. 



Ps. 21 (1876) (Svppl.) 57-. 



and root extraction. Tytler, J. As. Be- 

 searches 17 (1832) 51-. 



Biography of Ibn al-Bannah (13th cent.). 



Marre, A. Bm. At. N. Line. 19 (1866) 1-. 

 Diophantus among Arabs of 9th century. 



Steinschneider, M. Z. Mth. Ps. 10 (1865) 499. 

 Euclid, bibliographical study. Steinschneider, 



M. Z. Mth. Ps. 31 (1886) (H.-lt. Ab.) 81-. 

 Hero's square-root formula in Arabian mathe- 

 matics and in Begiomontanus's writings. 



Curtze, M. Z. Mth. Ps. 42 (1897) (H.-lt. 



Ab.) 145-. 

 Historical notes. Chasles, M. C. B. 40 (1855) 



782- ; 60 (1865) 601-. 

 Ibn-al-Haitam, quadrature of the circle. Suter, 



H. Z. Mth. Ps. 44 (1899) (H.-lt. Ab.) 33-. 

 Indian numerals, employment by Arabs. 



Woepcke, F. Tortolini A. 6 (1855) 321-. 

 Yusuf ibn Ibrahim and Ahmed ibn Yusuf. 



Steinschneider, M. Bb. Mth. (1888) 49-, 



111-. 

 Khelasat al Hisab. Marre, A. N. A. Mth. 5 



(1846) 263-. 

 Multiplication and division. Latin abridgement 



of an Arabian work on numbers, written by 



N. O'Creat to Adelhard of Bath in 12th 



century (fragment). Henry, C. Z. Mth. Ps. 



25 (1880) (Suppl.) 129-. 

 Musa ibn Shakir, sons of, 10th century. 



Steinschneider, M. Bb. Mth. (1887) 44-, 



71-. 

 Badical axis probably discovered by Arabs. 



Merrifield, C. W. L. Mth. S. P. 2 (1869) 



175-. 



