ELEMENTS OF EUCLID: 110 VIZ. 68-18 PRINTED, WITH A FEW VARIATIONS, AND ADDITIONAL REFERENCES, FROM THE TEXT OF ROBERT SIMSON, M.D. EYERITUS PROFESSOR OF MATHEMATICS IN THE UNIVERSITY OF OXFORD. CAREFULLY CORRECTED BY SAMUEL MAYNARD. LONDON: PRINTED FOR LONGMAN, ORME, BROWN, GREEN, AND LONGMANS; T. CADELL; J. BICHARDSON; J. M. RICHARDSON; BALDWIN AND QA 45 EDITOR'S PREFACE. 1838 In preparing this edition of Euclid for the press, the Editor has scrupulously adhered to the text of Dr. Simson, at least with one exception, where a departure from it will, by all geometers, be admitted to be not only justifiable, but absolutely necessary. The first Proposition of Book III. has been long known to be imperfectly demonstrated; and, as the defect may be supplied by the addition of but two or three lines to the original text, the Editor has not hesitated to introduce the amendment. This may be regarded äs by far the principal departure that has been made from the text of the Quarto Edition of 1756, &c. The present, however, will be found to differ considerably from the preceding 12mo O Edition (1832), which abounds with errors in the marginal references ; these have all been corrected, and many new and needful references added. From these circumstances, and from the b care which has been bestowed on the proofs as the work passed through the press, it is expected that no error or omission of any consequence will appear in the present impression. SAMUEL MAYNARD. No. 8. Earl's Court, Leicester Square, 3-1989 JUL 3 HERTA -2929 q |