[576] There are some ill-tabulated forms to be found in J. Bowring, _The Decimal System_, London, 1854, pp. 23, 25, and in L. A. Chassant, _Dictionnaire des abreviations latines et francaises ... du moyen age_, Paris, MDCCCLXVI, p. 113. The best sources we have at present, aside from the Hill monograph, are P. Treutlein, _Geschichte unserer Zahlzeichen_, Karlsruhe, 1875; Cantor's _Geschichte_, Vol. I, table; M. Prou, _Manuel de paleographie latine et francaise_, 2d ed., Paris, 1892, p. 164; A. Cappelli, _Dizionario di abbreviature latine ed italiane_, Milan, 1899. An interesting early source is found in the rare Caxton work of 1480, _The Myrrour of the World_. In Chap. X is a cut with the various numerals, the chapter beginning "The fourth scyence is called arsmetrique." Two of the fifteen extant copies of this work are at present in the library of Mr. J. P. Morgan, in New York. [577] From the twelfth-century manuscript on arithmetic, Curtze, loc. cit., _Abhandlungen_, and Nagl, loc. cit. The forms are copied from Plate VII in _Zeitschrift fuer Mathematik und Physik_, Vol. XXXIV. [578] From the Regensburg chronicle. Plate containing some of these numerals in _Monumenta Germaniae historica_, "Scriptores" Vol. XVII, plate to p. 184; Wattenbach, _Anleitung zur lateinischen Palaeographie_, Leipzig, 1886, p. 102; Boehmer, _Fontes rerum Germanicarum_, Vol. III, Stuttgart, 1852, p. lxv. [579] French Algorismus of 1275; from an unpublished photograph of the original, in the possession of D. E. Smith. See also p. 135. [580] From a manuscript of Boethius c. 1294, in Mr. Plimpton's library. Smith, _Rara Arithmetica_, Plate I. [581] Numerals in a 1303 manuscript in Sigmaringen, copied from Wattenbach, loc. cit., p. 102. [582] From a manuscript, Add. Manuscript 27,589, British Museum, 1360 A.D. The work is a computus in which the date 1360 appears, assigned in the British Museum catalogue to the thirteenth century. [583] From the copy of Sacrabosco's _Algorismus_ in Mr. Plimpton's library. Date c. 1442. See Smith, _Rara Arithmetica_, p. 450. [584] See _Rara Arithmetica_, pp. 446-447. [585] Ibid., pp. 469-470. [586] Ibid., pp. 477-478. [587] The i is used for "one" in the Treviso arithmetic (1478), Clichtoveus (c. 1507 ed., where both i and j are so used), Chiarini (1481), Sacrobosco (1488 ed.), and Tzwivel (1507 ed., where jj and jz are used for 11 and 12). This was not universal, however, for the _Algorithmus linealis_ of c. 1488 has a special type for 1. In a student's notebook of lectures taken at the University of Wuerzburg in 1660, in Mr. Plimpton's library, the ones are all in the form of i. [588] Thus the date [Numerals 1580], for 1580, appears in a MS. in the Laurentian library at Florence. The second and the following five characters are taken from Cappelli's _Dizionario_, p. 380, and are from manuscripts of the twelfth, thirteenth, fourteenth, sixteenth, seventeenth, and eighteenth centuries, respectively.