HENRY SOTHERAN & CO., 140, STRAND, W.C., AND 43, PICCADILLY, W. 449 

 8854 HAMILTON (Henry Parr, f.r.s., Dean of Sarum) Analytical Geometry, with plate : 



Lines of the Second Order, or Conic Sections, 3 plates— in 1 vol. 4to. sewn, 2s [1827-8] 



8855 Another Copy, hf. cL, 2s 6d 



8856 An Analytical System of Conic Sections, 4th Edition, enlarged, with diagrams, 8vo. 



hf. calf gilt, 3s Cambridge, 1838 



8857 HAMILTON (John, f.r.s.) Stereography, or a Compleat Body of Perspective, with their 

 Projections or Shadows, and their Reflections by Polished Planes, performed by Uniform, Easy, 

 and General Methods, for the most Part entirely New, with 130 folding plates, 2 vols. roy. folio 

 in 1, old hf calf, uncut, with bookplate of Philip 2nd Earl Stanhope, F.B.S., 10s 6c? 1738 



8858 HAMILTON (Sir William, f.r.s. ; diplomatist and archaeologist; husband of Emm^ Lady 

 Hamilton) Account of the late Eruption of Mount Vesuvius, with 7 folding plates and maps, 

 by Basire, etc. (2 coloured), 4to. (pp. 44), sewn, Qs Qd r,95 



8859 '■ Campi Phlegr^i : Observations on the Vo LOAN OS of the Two SiClLIES, as they have been 



communicated to the Royal Society of London [in English and French] , with large folding map 

 of the Gulf of Naples, and 54 plates of Volcanos in action. Views and Scenery, and Minerals, all 

 beautifully handcoloured by Peter Fabris, in imitation of drawings, original edition, 

 2 vols. roy. folio, ^ne copy in the original hf. binding (rare), £4. 4s Naples, 1776 



The plates of the above original edition are of a singular beauty, which was never approached even in the Largest Paper 

 copies of that of 1799. Dent's copy fetched £29. 



8860 Observations on Mount Vesuvius, Mount Etna, and other Volcanos, with Explana- 

 tory Notes by the Author, hitherto unpublished, first edition, with 5 copperplates of volcanos, and 

 folding map, 8vo. boards, uncut (sound copy) ; rare, 16* 1772 



8861 Another Copy, old calf gilt, with Mr. William GotVs bookplate, 145 



8862 Second Edition, with 5 copperplates of volcanos, and folding rnap, sm. 8vo. old calf 



[joints cracked), Ss Qd 1773 



8863 New [Third] Edition, with 5 copperplates, and folding map, 8vo. boards, uncut, lOe 1774 



8864 Another Copy, old calf (large copy), 8s 6d 



8865 Another Copy, old hf calf (joints cracked), 6s 6d 



8866 ; — Some Particulars of the Present State of Mount Vesuvius ; with a Journey into the 



Province of Abruzzo, and a Voyage to the Island of Ponza, with folding map, and 2 folding plates 

 by Basire, 4to. (pp. 16), sewn, 3s 1786 



' His leisure was chiefly occupied in the study of volcanic phenomena. . . . Within four years he had ascended Vesuvius 

 twenty-two times, more than once at great risk, making himself or causing Fabris, an artist trained to the work by him, to 

 make numberless sketches at all stages of eruptions.'— D. N. B. 



■^8867 HAMILTON (Sir William Rowan, Royal Astronomer of Ireland) Lectures on Quaternions : 



■rr containing a Systematic Statement of a New Mathematical Method, with some Geometrical and 



U' Physical Applications, only edition, with diagrams, thick 8vo. cl., uncut (very scarce), 



£2. 7* Qd Dublin, 1853 



This important work embodies the author's invention of quaternions, * giving him right to rank in originality and insight 

 with Diophantus, Descartes, and La Grange ' (R. E. Anderson). The Introduction (pp. 64) is especially valuable as giving 

 an historical account of it. 



On Symbolic Geometry, 8vo. (pp. 19), sewn, 2s [Cambridge, 1849] 



8868 Theory of Conjugate Functions, or Algebraic Couples ; with a Preliminary and 



Elementary Essay on Algebra as the Science of Pure Time, 4to. sewn (a few II. soiled), with 

 author's inscr. (see below) ; scarce, 125 %d Dublin, 1835 



' Professor Wallace, etc. etc. etc. with very kind regards from the author.'— Inscr. on title. 



• In 1835 Hamilton published his 'Theory of Algebraic Couples.' He regarded algebra 'as being no mere art, nor 

 language, nor primarily a science of quantity, but rather as the science of order of progression.' Time appeared to him as 

 the picture of such a progression. Hence his definition of algebra as the science of pure time.'— Pro/. Cajori. 



8869 Theory of Systems of Rays [Part I : On Ordinary Systems of Reflected Rays] , with 



the Third Supplement, 2 vols. 4to. in 1, hf. calf (scarce), 12s Qd [ib., 1827-34] 



' Applying the laws of optics he proved that under certain circumstances a ray of light passing through a crystal will 

 emerge not as a single or double ray but as a cone of rays. This theoretical deduction involved the discovery of two laws 

 of light ; and under the mathematical aspects was pronounced by Sir John Herschel to be 'a powerful and elegant piece 

 of analysis ', while Prof. Airy, on the physical side, said ' it had made a new science of optics '.'— D. N. B. 



8870 HAMILTON (Sir William [Stirling] ; metaphysician) Discussions on Philosophy and 

 Literature, Education, and University Reform, 3rd [last] Edition, thick 8vo. cl. (scarce), 

 \OsQd . 1866 



Many of the most characteristic of Sir William Hamilton's uncompromising criticisms, including the 'Edinburgh' 

 review of Victor Cousin, according to Lord Jeffrey ' the most unreadable thing that ever appeared in the Review and 

 ' sheer nonsense ', and ' On the Study of Mathematics as an Exercise of Mind ' (pp. 78), a sharp attack on Dr. Whewell, 

 and another on Professor de Morgan ' as a logical critic and reasoner ', who replied to it at length in his Budget of 

 Paradoxes (v. No. 3078, ante). 



8871 HAMMOND (Nathaniel) The Elements of Algebra in a New and Easy Method ; with 

 Introduction, containing a succinct History of this Science; 3rd Edition, with diagrams, 8vo. 

 old sheep, 5s 176'* 



Unknown to Lowndes and AUibone. . . •, -r. i 



8872 HAMPSON (P., Oriel Coll) The Romance of Mathematics : being the Original Researches 

 of a Lady Professor of Girtham College in Polemical Science, 12mo. cl., 3s 1886 



8873 HAMY (Maurice ; de Vlnstitut) Sur le D6veloppement Approch6 de la Fonction Per- 

 turbatrice dans le Cas des In^GALITES d'ORDRE Elev6 ; with diagrams, 4to. (pp. 82), «€tjw, 

 with author's inscr., 3s Qd [1894] 



8874 HANDS (Joseph, m.r.c.s.) New Views of Matter, Life, Motion, and Resistance: also an 

 Enquiry into the Materiality of Electricity, Heat, Light, Colours, and Sound, 8vo. cl., 45 6rf 1879 



875 HANEY (Lewis Henry, Univ. Iowa) Congressional History of Railways in the United 

 States to 1850, with 3 maps, 8vo. sewn. Is U Madison, 1908 



