170 HENRY SOTHERAN & CO., 140, STRAND, W.C., and 37, PICCADILLY, W. 



3396 O'REILLY (B., deW Accademia di Bologna) Saggio suU' Imbiancamento, colla Descrizione 

 del Nuovo Metodo d' Imbiancare per mezzo del Vapore, dopo il Processo di Chaptal, e la sua 

 Applicazione alle Arti, tradotto, con Note, da Gaetano Maria La. Pira ; with 14 plates of 

 Bleaching Apparatus, etc., 8vo. vellum {binding damaged), Is Qd Napoli, 1804 



3397 ORTEGA [hie HORTEG-A] (Juan de, Ord. Fred.) Tract ADO Subtilissimo d' Arismetica y 

 de Geometria, ahora de nueuo emendado con mucha diligecia por GONCALO BusTO d' muchos 

 errores que aula en algunas impressiones passadas. Van anadidas en esta impression las prueuas 

 desde reduzir hasta partir quebrados, y en las mas de las figuras de geometria sus prueuas, con 

 ciertos auisos subjetos al Allgebra, y al fin deste tractado 13 exemplos de arte mayor ; with 

 woodcut title in red and black, and diagrams ; printed in a handsome got^tc letter, sm. 4to. Spanish 

 calf extra, richly tooled back {a few headlines shorn, and a very small hole in title, also one I. 

 mended, and a few letters defaced ; otherwise a VERY SOUND AND CLEAN COPY) ; very rare, 

 £6. 65 [Sevilla,'] 1552 



The original Spanish editions of the above work (which more generally occurs in French editions with the author's name 

 Gallicised as L'Ortie) are of extreme rarity, the earliest edition quoted by Antonio being that printed at Granada in 1563. 

 The above edition was unknown alike to Brunet and Graesse, and Prof, de Morgan possessed only a French translation of 

 which he mentions : ' This is perhaps the first book in French on commercial arithmetic. I have not found mention of it 

 in any catalogue. It is a good Italian importation, through Spain : and must have made the readers of the Boethian school 

 stare to see what arithmetic really could do.' 



There is no notice of the author in any biography, nor was the work known to Montucla or Poggendorff". 



3398 OSBORN (Henry Stafford, Lafayette College) The Metallurgy of Iron and Steel, Theo- 

 retical and Practical, in all its Branches, with special reference to American Materials and 

 Processes, with Q folding plates and 230 woodcuts, very thick roy. 8vo. cL, uncut, £1. 10s (p. £6.) 



Philadelphia, 1869 



3399 Practical Manual of Minerals, Mines, and Mining : Suggestions as to the Localities 



and Associations of all the Useful Minerals, Methods for their Analyses, and Hints on the various 

 Operations of Mining, including Architecture and Construction, 35 plates ivith 171 figures, roy. 

 8vo. cL, 8s Qd (p. £1. Is) ibidem, 1888 



3400 OSTHOFF (Georg) Hulfsbuch zur Anfertigung von Kostenberechnungen im Gebiete 

 des Ingenieurwesens, 2. Auflage, 8vo. cl., 3s Leipzig, 1883 



3401 OSTWALD (Willielin, Univ. Leipzig) Lehrbuch der allgemeinen Chemie, Band I : 

 Stochiometrie, 2. umgearbeitete [neueste] Auflage ; with 173 woodcuts, 1 vol. roy. 8vo. in 2, 

 hf calf {out of print), £1. 5s Leipzig, 1891 



3402 Band IT, II. Teil : Verwandtschaftslehre, 2. umgearbeitete [neueste] 



Auflage ; with 389 illustrations, thick roy. 8vo. sewn, £1. (p. M. 29. nett) ib., 1896-1902 



Well-known as the great text-book of physical chemistry. The ' Lehrbuch ' has never been translated into English. 



3403 Manual of Physico-Chemical Measurements, trans, by James Walker, with 188 



looodcuts, 8vo. cl., 5s (p. 7s nett) 1894 



3404 Outlines of General Chemistry, trans., with Author's Sanction, by James Walker, 



F.R.S., 58 woodcuts, 8vo. cl. {out of print), 10s 1890 



just published at 7s 6c? nett : 



3405 Der Werdegang einer Wissenschaft : GemeinverstJindliche Vortriige aus der Geschiehte 



der Chemie, 2. vermehrte Auflage der ' Leitlinien der Chemie,' post 8vo. cl. Leipzig, 1908 



An excellent short history of chemistry. 



3406 OTT (Karl v.) The Elements of Graphic Statics, trans, by Sir George Sydenham Clarke, 

 F.R.S., 93 diagrams, cr. 8vo. cl., 2s 1888 



3407 0[UGHTRED] (W[illiam, jor.]) The Circles of Proportion and the Horizontal Instru- 

 ment. The Former shewing the maner how to work Proportions both simple and compound . . . 

 newly increased with an Additament for Navigation . . . the Later teaching how to work most 

 Qu.iestions, which may be performed by the Globe : and to delineat Dialls upon any kind of 

 Plaine ; with the excellent Use of TWO Rulers for Calculation, trans, from the Latine by 

 William Forster, first edition, with 3 folding plates, and numerous woodcuts and diagra7ns, 

 sm. 4to. contemporary limp vellum (rare), £1. 15s A. Mathewes, 1633 



'The addition above named gives the first description of the sliding rule. The circles of proportion are what would 

 now be called circular sliding rules ; and the two rulers are the common sliding rule, the rulers being kept together by the 

 hand. Various errors are afloat about the invention of the sliding rule. Some give it to Wingate, some to Gunter, some to 

 Partridge. But the truth is that Oughtred inventsd them.'— Pro/, de Morgan. 



It also contains the first account of the author's invention (made in 1600) of a projected horizontal instrument for 

 delineating dials on any kind of plane, 



3408 Clavis Mathematice denuo limata, sive potius fabricata, cum aliis quibusdam ejusdem 



Commentationibus ; Ed. III. auctior et emendatior ; with diagrams, 12mo. contemporary calf {some 

 II. wor7ned, otherwise a sound copy) ; rare, 15s Oxoniae, L. Lichfield, 1652 



' His Clavis Mathematicae is a good systematic text-book on arithmetic, and contains practically all that was then 

 known on the subject. In this work he introduced tlie symbol x for multiplication. He also introduced the symbol : : 

 in proportion : previously to this time a proportion such as a : b = c : d Avas usually written a - b - c - d ; he denoted it 

 a.h::c.d.'—W.W. B.Bali. 



3409 Trigonometria : hoc est. Modus compntandi Triangulorum Latera et Angulos, ex Canone 



Mathematico traditus et demonstratus, cum Tabulis Sinuum, Tangent: et Secant: etc.; ivith 

 numerous diagrams, sm. 4to. large and sound copy in contemporary ivhite vellum {rare), £1. 5s 



Londini, R. et L. W. Leybourn, 1657 



' Oughtred also wrote a treatise on trigonometry published in 1657, in which abbreviations for .nne, cosine, etc. were 

 employed. This was really an important advance, but the works of Girard and Oughtred, in which they were used, were 

 neglected and soon forgotten, and it was not until Euler reintroduced contractions for the trigonometrical functions that 

 they were generally adopted.'— IF. W. R. Ball. 



V. Clark {No. 804), ante. 



