THE THIRTEEN BOOKS OF EUCLID’S ELEMENTS

VOLUME I (Left margin of the Bodleian MS. D’Orville 301 frontispiece facsimile; see [0003.rst](0003.rst) for the full transcription of the scholium and marginal references.)

FRONTISPIECE: BODLEIAN MS. D’ORVILLE 301

Facsimile of a page (fol. 45 verso) of the famous Bodleian MS. of the Elements, D’Orville 301 (formerly X. 1 inf. 2, 30), written in the year 888 AD.

A B Γ Δ Ε Ζ

Scholium in Margin (Scholia Vaticana, III. No. 15; Heiberg, Vol. V, p. 263)

Διὰ τοῦ κέντρου οὐσῶν οὐκ ἦν ζητήσεως ἄξιον, εἰ δίχα τέμνουσιν ἀλλήλας· τὸ γὰρ κέντρον αὐτῶν ἡ διχοτομία. ὁμοίως καὶ ἡ εἰ τῆς ἑτέρας διὰ τοῦ κέντρου οὔσης ἡ ἑτέρα μὴ διὰ τοῦ κέντρου εἴη, ὅτι οὐ δίχα τέμνεται ἡ διὰ τοῦ κέντρου.

(Note: The ἡ before εἰ in the last sentence should be omitted; PFVat. read ἡ without εἰ.)

Marginal References

  1. διὰ τὸ α’ τοῦ γ’ (“by III. 1”)

  2. διὰ τὸ γ’ τοῦ αὐτοῦ (“by 3 of the same”)

(Blank verso page)

THE THIRTEEN BOOKS OF EUCLID’S ELEMENTS

TRANSLATED FROM THE TEXT OF HEIBERG

WITH INTRODUCTION AND COMMENTARY

BY

SIR THOMAS L. HEATH,
K.C.B., K.C.V.O., F.R.S.,
SC.D. CAMB., HON. D.SC. OXFORD
HONORARY FELLOW (SOMETIME FELLOW) OF TRINITY COLLEGE CAMBRIDGE
SECOND EDITION
REVISED WITH ADDITIONS
VOLUME I
INTRODUCTION AND BOOKS I, II
DOVER PUBLICATIONS, INC.
NEW YORK

Published in Canada by General Publishing Company, Ltd., 30 Lesmill Road, Don Mills, Toronto, Ontario.

Published in the United Kingdom by Constable and Company, Ltd., 10 Orange Street, London WC 2.


This Dover edition, first published in 1956, is an unabridged and unaltered republication of the second edition. It is published through special arrangement with Cambridge University Press.


Library of Congress Catalog Card Number: 56-4336

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