2n^ S. X Sept. 1. '60.] 



NOTES AND QUERIES. 



163 



S " (or D) and the name " Bloyet " on its title- 

 page. The initials probably appertain to the 

 name. 



London, seventeen-thirtyseven. Newton, Isaac. ' A 

 Treatise of the Method of Fluxions and Infinite Series, 

 with its Application to the Geometry of Curve Lines. By 

 Sir Isaac Newton, Kt. Translated from the Latin Origi- 

 nal not yet published. Designed by the Author for the 

 use of Learners. Hac via insistendum est. London, 

 Printed for T. Woodman at Camden's Head in New 

 Eound Court in the Strand ; and J. Millan next to Will's 

 Coffee House at the Entrance into Scotland Yard, 

 MDCCXXXVII' Octavo. 190 + xvi. pages. 



This seems to be a second "or other edition 

 of a work which Prof. De Morgan (PAi7. Mag.' 

 for Nov. 1852, p. 323) calls "The Method of 

 Fluxions, translated by Colson from Newton's 

 Latin, and published in 1736, written, it is sup- 

 posed, at some time in the period 1671»1676," For 

 the passage " But whereas o is suppos'd to be in- 

 definitely little, that it may represent the mo- 

 ments of quantites, consequently the terms that 

 are multiplied by it, will be nothing in respect of 

 the rest : " which I find at p. 33 of the work now 

 before me corresponds in substance with that cited 

 by Mr. De Morgan (ubi sup.) as from p. 25 of 

 the work he mentions as translated by Colson. 

 The name of Colson does not, that I am aware of, 

 appear in the work itself, but in the opening of 

 the Preface it is said to be " the genuine Offspring 

 (in an English Dress) of the late Sir Isaac New- 

 ton " and Prof De Morgan (ibid.) says " There 

 is no doubt this work is Newton's : " There is no 

 dedication to Jones in my edition or copy which 

 bears the M.S. inscriptions " Ex libris Johannis 

 Hellins " and " John King, 34 Cannon Street, 

 City." 



Paris, seventeen-seventynine. Bezout. 'Theoriege- 

 n^rale des equations algebriques; Par M. Bezout,' &c. 

 Quarto, 471 + xxviij pages. 



This is his great work on elimination. 



Paris, eighteen-twelve. Wronski, Hoene'. ' Resolu- 

 tion Gen^rale des Equations de tous les degres ; Par . . . 

 Dedie'e a la Pologne, ancienne patrie de I'auteur.' Quarto. 



This work, which at one time caused some ex- 

 citement in the mathematical world, is comprised 

 in sixteen pages. 



London, eighteen-thirteen. Lockhart, James. 'A 

 method of approximating towards the roots of cubic equa- 

 tions belonging to the irreducible case.' Quarto (in strict- 

 ness, though resembling a large octavo). 87 pages. 



Mr. Lockhart was the author of many works 

 and papers on equations and continued his labori- 

 ous calculations to a very advanced period of life. 

 At the age of eighty-seven he was " still prose- 

 cuting his scientific researches with the same ardour 

 that animated his early years," (J. R. Young, On 

 the Gen. Princ. of Anal, p. 38). 



Paris, eighteen-fourteen. Garnier, J.-G. ' Analyse Al- 

 gebrique, faisant suite a la premiere section de I'Algebre ; 

 Deuxifeme edition, revue et considerablement augment^e. 

 Par , . . ' Octavo. 668 + xvj pages. 



London, eighteen-seventeen. Gompertz, Benjamin. 

 ' The Principles and Application of Imaginary Quantities, 

 Book I ; to which are added some observations on Po- 

 risms; being the first of a series of original tracts on 

 various parts of the Mathematics.' Quarto. 35 pages. 



London, eighteen-eighteen ...'... Book II ; derived 

 from a particular case of functional projections ; being the 

 second &c. . . .' Quarto. 44 pages. . 



London, eighteen -fifty. Gompertz, Benjamin. 'Hints 

 on Porisms, in a letter to T. S. Davies, Esq. F.R.S, F.S.A., 

 &c. with a Scholium not contained in the letter. Being 

 a sequel to the two Tracts on 'Imaginary Quantities' 

 published in 1817 and 1818, as a partial development of 

 views therein noticed. Being No. HI. — of Original 

 Tracts.' Quarto, iv + 34 pages. 



Xondow, eighteen-twenty. Nicholson, Pfeter]. 'Es- 

 say on Involution and Evolution ; Particularly applied 

 to the Operation of Extracting the roots of equations and 

 numbers, according to a process entirely arithmetical; 

 Superseding by its greater Simplicity, Swiftness, and Re- 

 gularity, every other Method that has yet been attempted. 

 A New Edition with a Postscript, Vindicating the claims 

 of the Author in the maturing and bringing the Subject 

 to Perfection ; and Showing the vast Superiority of his 

 Demonstrations and Methods to those which Mr. Hol- 

 dred has published since the first Edition of this Essaj'. 

 Together with an Appendix on Figurate Numbers and 

 Arithmetical Equivalents ; The whole being adapted to 

 the skilful analyst and expert arithmetician.' Octavo. 

 82 + xxvi pages. 



The " Introduction " as well as the Postscript 

 contains valuable matter, bearing upon the his- 

 tory of what is now known as " Horner's Pro- 

 cess." 



Lonclon, eighteen -twenty three. Buck, John, of Queen's 

 College, Cambridge. ' A New, General, and Algebraical 

 Solution of the Higher Orders of Equations : with solu- 

 tions to the tenth degree inclusive,' Octavo. 95 + xii. 

 pages. 



The solution is by an application of the Dio- 

 phantine Analysis. 



J*am, eighteen-twentysix. Lagrange, J.-L. 'Traite 

 de la Resolution des E'quations Numeriques de tous lea 

 degres, avec des notes sur plusieurs points de la theorie 

 des equations algebriques ; Troisi^me edition, conforme h 

 celle de 1808, et pre'cede'e d'une Analyse de I'Ouvrage, par 

 M. PoiNSOT.' Quarto, xxviij +315 pages, 



Bristol, eighteen-thirlytwo. Jerrard, Geo. B. (a.b). 

 ' Mathematical Researches, Part the First, By ... ' Oc- 

 tavo. 34 + vi pages. * 



Bristol, eighteen-thirtyfour .-..'... Part the Second, 

 Bv . . .' Octavo ; to p. 76. 



'Bristol, eighteen-thirtyfive .,.'... Part the Third. 

 By . . .' Octavo ; to p. 96. 



These Parts were published at Bristol by " Wil- 

 liam Strong, Clare Street ; to be had of Longman 

 and Co, London." There is also a " Supplement 

 to Part the Third," without a title page, dated 

 Bristol, July 1835 (to p. 114), and a " Continua- 

 tion of Supplement to Part the Third " without 

 either date or title page (to p, 130), 



Bristol, eighteen-thirtythree. A friend of the Bris- 

 tol COLLEGE. ' A Reply to an Article in No. 7, of the 

 Bath and Bristol Magazine, entitled A Review of " Ma- 

 thematical Researches, Part the First, by G, B, Jerrard, 

 B.A " ', Octavo. 37 pages. 



The form and mode of publication is the same 



