The Elements of Euclid : with Dissertations intended to assist and encourage a critical examination of these Elements, as the most effectual means of establishing a juster taste upon mathematical subjects, than that which at present prevails. / by James Williamson.

Euclid

RA Collection: Book

Record number

14/2235

Author

Imprint

Oxford: Printed at the Clarendon Press, MDCCLXXXI-MDCCLXXXVIII

Physical Description

2 vols bound together: illus.; 275 mm.

General Note

The work contains the 13 books of the Elements and 9 dissertations by Williamson, numbered 1 to 9. Whereas volume I was printed in Oxford at the Clarendon Press, volume II was printed in London by T. Spilsbury. Volum 1: [2], iii, [1], 96, 1-145, [1], 68 p.; volume 2: [2], xxiii, [1], 367 p. Erratum at end of p. 367 (vol. II).

Contents

Contents of vol. 1: Dedication to Richard Burke, Esq.; Dissertation 1 -- Dissertation 2 -- Dissertation 3 -- Dissertation 4 -- Dissertation 5 -- Book I. Geometry of triangles and circles; transformation of regions -- Book II. Geometry of the rectangle and the square -- Book III. Circles, their tangents and diameters -- Book IV. Regular n-gons in and around circles -- Book V. Basic properties of proportions about geometric magnitudes -- Book VI. Similarity of rectangular figures in the plane -- The conclusion.

Contents of vol. 2: Dissertation 7 -- Book VII. Basic definitions and properties of integers -- Book VIII. Numbers in continued proportion -- Book IX. Number theory -- Book X. Commensurable and rational lines and regions, binomials and apotomes, anthyphairesis -- Dissertation 8 -- Book II. Solid geometry: solids, spheres, angles -- Book XII. Regions and solids: polygons, cones and cylinders -- Book XIII. The five regular solids -- Dissertation 9.

Provenance

Presented to the RA Library by George Aitchison RA, 1909.
On front pastedown: University College, London examination prize awarded to George Aitchison, 'being the Prize in the Class of Mathematics (Lower Junior)' for the Session 1848-49. With ex-libris book-label of George Aitchison ARA.

Binding Note

Brown quarter leather binding with University College London stamp on front board brown cloth. Spine lettered in gilt on black label, 'Williamson's / Euclid'.

Subject

Euclid. Elements Criticism and interpretation - Mathematics, Greek - Geometry ; Early works to 1800 - Proportion ; Early works to 1800 - Trigonometry ; Early works to 1800 - Euclid's Elements ; Early works to 1800

Contributors