324 HENRY SOTHERAN & CO., 140, STRAND, W.C, AND 37, PICCADILLY, W. 



6343 BORDIER-MARCET (J. A., successeur d' Ami Argand, inventeur de lampes) Notions sur 

 I'Areometre Centigrade, I'Alambic Ambulant, et le Plastron Nautique; with plate 

 (stained), 8vo. (pp. 48), sewn, 5s 1812 



THE FIRST book OF ARITHMETIC : 



6344 BORGO [o BORGH] (Piero, da Venesia) Libro de Abacho. [F. 2a :] Qui comenza la 

 nobel opera de | arithmebhica ne la qual se tracta | tutte cosse amercantia pertinente 

 I facta z compilata p Piero borgi | da veniesia ; printed in gotl^lC letter, with numerous 

 woodcut initials, sm. 4to. newly and finely hound in polished hrown Levant morocco extra, 

 rough g. e., hy W. Pratt {title very neatly mended, a few other II. slightly margined or 

 repaired, also parts of a few letters on ff. 9 and 10 defective through wormhole, otherwise 

 a FINE and very large copy), £40. [col. :] Nela inclita cita de venetia 



a corni. 2. augusio. 1484. /tt impostofine ala presente opera 



First edition of the first printed treatise on arithmetic, and of excessive rarity. No copy has happened 

 for sale at auction within the last 22 years, and probably not for many years before. The Libri copy, sold in 1861, is the 

 last sale-record that can be traced. 



It consists of one unnumbered leaf with verses, beginning ' Chi de arte mateinatiche ha piacere, Che tengon di certec^a 

 el primo grado . . . ', 116 numbered 11., and one unnumbered 1. of Table, or signatures a — o in eights and p in six. On the 

 reverse of the last 1. are verses in Italian, from which it can be gathered that the edition was printed by Erhard Ratdolt of 

 Augsburg. The above copy is, save for the few defects mentioned, in a most desirable condition, and uniform in binding 

 with the following copy of the second edition. 



6345 Seconda Edizione. [F. 2a:] Qui comeza la nobel opera de | arithmeticha ne 



laqualse tracta | tutte cosse amercantia pertinen- | te facta z; compilata per Piero | borgi 

 da Vieniesia ; printed in gatj)fc letter, with numerous woodcut initials, sm. 4to. newly 

 and finely hound in polished broivn Levant morocco extra, rough g. e., hy W. Pratt, 

 uniform with the above (an exceptionally fine and large copy), £21. 



[col. .-] Stampito in Veniexia per zoudne de HalV 14?8 



6346 Another Copy, boards (slight hole in first 2 and last 4 II., also some II. 



water-stained, or slightly soiled, otherwise a sound and very large copy), £14. 14^ 



This second edition is also of great rarity, although to a less degree than the first. It consists of ('O unnumbered 11., 

 or signatures a— m in eights, the first 1. having on obverse the verses contained in the first edition. The table and verses 

 at end contjtined in the first edition are however absent in this as well as in all other editions. 



6347 QuARTA Edizione. [F. la :] Libro De Abacho. [F. 2a :] Qui comeza la nobel opera de 



arith | meticha ne laqual se tiatta tutte cos- | se a mercantia pertinente fatta z com | pilata per 

 Piero Borgi da Venesia ; printed in Roman character, with Sessa's cat and mojise on title, and 

 numerous woodcut initials, sm. 4to. vellum cover from a XlVth Century MS. {small hole in title, 

 otherwise a fine and large copy), £8. 85 



\col:'\ Impressa in Venetia per Zuane Baptista Sessa. 1501. a di. 10. Decembrio. 



With MS. index in an old hand. 



6348 Another Copy, boards {title guarded, but a sound and clean copy), £6. 6s 



6349 Another Copy, seivn {/. 8 in fs., and a number of blank corners gnawed; also water- 

 stained, but a very tall copy), £3. 10^ 



This edition, the first printed by Sessa, was unknown to Graesse, who mentions however all the other editions. It 

 consists of 96 numbered 11., or signatures A — M in eights. 



6350 QuiNTA Edizione. [F. la :] Libro De Abacho. [F. 2a :] Qui comeza la nobel opera de 



arith | meticha ne laqual se tracta tute cose a [ merchiltia pertinente facta z eopilata | per Miser 

 Piero borgi da Venesia ; printed in Roman characters, with woodcut initials, sm. 4to, contemporary 

 oaken boards {Jialfof one missing), with leathern back and clasp, and flyleaves from a XlVth Century 

 MS. on vellum {some II. wormed, and a few blank corners slightly worn, otherwise a very sound 

 and exceptionally large copy), £5. 5s 



[col. .] Stampata in Venetia per Jacomo pentio \ anno dui. 1509. adi. 5. de novembre. 

 This edition, containing 6 i)p. of additions, consists of IW numbered 11. (the last 4 being misnuinbered (•] -4), or signatures 

 A — M in eights, and N in four. 



6351 ISesta Edizione. [F. la:] Libro De Abacho. [F. 2a:] Qui comeza la nobel opera de 



arith | meticha ne la(|ual se tracta tutte co | se a merchantia pertinente facta | z compilata per Miser 

 Piero bor [ gi da Venetia ; printed in Roman characters, with small woodcut initials, sm. 4to. old 

 vellum (a very sound and large copy), £3. 3* 



[col. ;] Stampata Venetia per Jacomo pentio da Lecho ad instd \ tia de Marchio 

 Sessa cO Piero di Rauani compagni \ anno dni. 1517. adi. 25. de zugno. 



The collation of the above edition corresponds exactly with that of the foregoing. The above copy contains a MS. index 

 in an old hahd. 



' Tutte le edizioni di questa operetta, ma in particolare le prime, sono ricercatissime dai bibliograft. '—iZicmrtZi. 



' Toutes les editions de cet Abacho soiit difticiles a trouver, et depuis quelques annees on les recherche beaucoup." — Brunei. 



' The author begins by saying that there are plenty of sufficiently good masters, and not less abundance of most excellent 

 authors. His arrangement of the five acts of arithmetic is strange ; they are numeration, multiplication, partition, 

 summation, and subtraction. He uses the word million, and his numeration goes to millions of millions of millions. He 

 then proceeds to multiplication, and forms a table of the nine multiples of 1, "2 ... 10, with those or 12, Ki, 20, 24, 32, 

 and 30. He then points out how to prove processes by casting out sevens and nines; in doing which he shews how to 

 divide by 7, and uses the sum of the digits to find the remainder 9. Then follow multiplications done each in one line, even 

 when the multiplier has three or four figures. . . , Division is said at the head of a chapter, to be done in three ways ; but 

 only two are given : that per rholona, where the whole is done in one line, and that j)ei' batelo. Subtraction is then 

 explained ; and after some applications, the rules for fractions (which are expressed in the same way as now) are introduced. 

 The rule of three (riegda del tre) is given, and a large number of money applications.' — Prof. lU Morgan. 



The first two editions are by most bibliographers mistakenly quoted as a different work. 



The work was reprinted in 1528, 1540, l.')50, l.')Ol, and 1507, 



