an numerals is the most
plausible, although he does not adduce any convincing proof. Th. Henri
Martin, "Les signes numeraux et l'arithmetique chez les peuples de
l'antiquite et du moyen age" (being an examination of Cantor's
_Mathematische Beitraege zum Culturleben der Voelker_), _Annali di matematica
pura ed applicata_, Vol. V, Rome, 1864, pp. 8, 70. Also, same author,
"Recherches nouvelles sur l'origine de notre systeme de numeration ecrite,"
_Revue Archeologique_, 1857, pp. 36, 55. See also the tables given later in
this work.

[106] _Journal of the Royal Asiatic Society, Bombay Branch_, Vol. XXIII.

[107] Loc. cit., reprint, Part I, pp. 12, 17. Bayley's deductions are
generally regarded as unwarranted.

[108] _The Alphabet_; London, 1883, Vol. II, pp. 265, 266, and _The
Academy_ of Jan. 28, 1882.

[109] Taylor, _The Alphabet_, loc. cit., table on p. 266.

[110] Buehler, _On the Origin of the Indian Br[=a]hma Alphabet_, Strassburg,
1898, footnote, pp. 52, 53.

[111] Albrecht Weber, _History of Indian Literature_, English ed., Boston,
1878, p. 256: "The Indian figures from 1-9 are abbreviated forms of the
initial letters of the numerals themselves...: the zero, too, has arisen
out of the first letter of the word _[s.]unya_ (empty) (it occurs even in
Pingala). It is the decimal place value of these figures which gives them
significance." C. Henry, "Sur l'origine de quelques notations
mathematiques," _Revue Archeologique_, June and July, 1879, attempts to
derive the Boethian forms from the initials of Latin words. See also J.
Prinsep, "Examination of the Inscriptions from Girnar in Gujerat, and
Dhauli in Cuttach," _Journal of the Asiatic Society of Bengal_, 1838,
especially Plate XX, p. 348; this was the first work on the subject.

[112] Buehler, _Palaeographie_, p. 75, gives the list, with the list of
letters (p. 76) corresponding to the number symbols.

[113] For a general discussion of the connection between the numerals and
the different kinds of alphabets, see the articles by U. Ceretti, "Sulla
origine delle cifre numerali moderne," _Rivista di fisica, matematica e
scienze naturali_, Pisa and Pavia, 1909, anno X, numbers 114, 118, 119, and
120, and continuation in 1910.

[114] This is one of Buehler's hypotheses. See Bayley, loc. cit., reprint p.
4; a good bibliography of original sources is given in this work, p. 38.

[115] Loc. cit., reprint, part I, pp. 12, 17. See also Burnell, loc. cit.,
p. 64, and