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Author: Dechales, Claude-François Milliet, 1621-1678.
Title: The elements of Euclid, explained and demonstrated in a new and most easie method with the uses of each proposition in all the parts of the mathematicks / by Claude Francois Milliet D'Chales, a Jesuit ; done out of French, corrected and augmented, and illustrated with nine copper plates, and the effigies of Euclid, by Reeve Williams ...
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Print source: The elements of Euclid, explained and demonstrated in a new and most easie method with the uses of each proposition in all the parts of the mathematicks / by Claude Francois Milliet D'Chales, a Jesuit ; done out of French, corrected and augmented, and illustrated with nine copper plates, and the effigies of Euclid, by Reeve Williams ...
Dechales, Claude-François Milliet, 1621-1678., Euclid. Elements., Williams, Reeve, fl. 1682-1703.
London: Printed for Philip Lea ..., 1685.
Alternate titles: Huict livres des Eléments d'Euclide rendus plus faciles. English
Subject terms:
Geometry -- Early works to 1800.
Mathematical analysis.
URL: https://name.umdl.umich.edu/A38722.0001.001
How to cite: For suggestions on citing this text, please see Citing the TCP on the Text Creation Partnership website.

Table of Contents
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title page
To the Honourable Samuel Pepys, Esq; Principal Officer OF THE NAVY, SECRETARY TO THE ADMIRALTY, AND PRESIDENT OF THE ROYAL SOCIETY.
THE Authors Preface TO THE READER
THE TRANSLATORS PREFACE.
ADVERTISEMENT.
EIGHT BOOKS OF Euclid's Elements: With the Ʋses of each PROPOSITION.
The FIRST BOOK.
introduction
DEFINITIONS.
Postulata or SƲPPOSITIONS.
AXIOMS.
ADVERTISEMENT.
propositions
PROPOSITION I. PROBLEM.
USE.
PROPOSITION II. PROBLEM.
SCHOL.
PROPOSITION III. PROBLEM.
PROPOSITION IV. THEOREM.
USE.
Another USE may be this.
PROPOSITION V. THEOREM.
PROPOSITION VI. THEOREM.
USE.
PROPOSITION VIII. THEOREM
PROPOSITION IX. PROBLEM.
USE.
PROPOSITION X. PROBLEM.
USE.
PROPOSITION XI. PROBLEM.
PROPOSITION XII. PROBLEM.
USE
PROPOSITION XIII. THEOREM.
COROLLARIES.
USE.
PROPOSITION XIV. THEOREM.
PROPOSITION XV. THEOREM.
USE.
PROPOSITION XVI. THEOREM.
USE.
PROPOSITION XVII. THEOREM.
PROPOSITION XVIII. THEOREM.
PROPOSITION XIX. THEOREM.
USE.
PROPOSITION XX. THEOREM.
PROPOSITION XXI. THEOREM.
USE
PROPOSITION XXII. PROBLEM.
USE.
PROPOSITION XXIII. PROBLEM.
USE.
PROPOSITION XXIV. THEOREM.
PROPOSITION XXV. THEOREM.
PROPOSITION XXVI. THEOREM.
USE.
LEMMA.
PROPOSITION XXVII. THEOREM.
PROPOSITION XXVIII. THEOREM.
PROPOSITION XXIX. THEOREM.
USE.
PROPOSITION XXX. THEOREM.
PROPOSITION XXXI. PROBLEM.
USE
PROPOSITION XXXII. THEOREM.
USE.
PROPOSITION XXXIII. THEOREM.
USE.
PROPOSITION XXXIV. THEOREM.
USE
PROPOSITION XXXV.
Demonstration by the method of Indivisibles.
PROPOSITION XXXVI. THEOREM.
USE of the foregoing.
PROPOSITION XXXVII. THEOREM.
PROPOSITION XXXVIII. THEOREM.
USE.
PROPOSITION XXXIX. PROBLEM.
PROPOSITION XL. THEOREM.
PROPOSITION XLI. THEOREM.
USE.
PROPOSITION XLII. PROBLEM.
PROPOSITION XLIII. PROBLEM.
PROPOSITION XLIV. PROBLEM.
USE.
PROPOSITION XLV. PROBLEM.
USE.
PROPOSITION XLVI. PROBLEM.
PROPOSITION XLVII. THEOREM.
USE.
PROPOSITION XLVIII. THEOREM.
THE SECOND BOOK OF Euclid's Elements.
introduction
DEFINITIONS.
propositions
PROPOSITION I. PROBLEM.
Arithmetically or by Numbers.
USE.
PROPOSITION II. THEOREM.
ARITHMETICALLY.
USE.
PROPOSITION III. THEOREM.
ARITHMETICALLY.
USE.
PROPOSITION IV. THEOREM.
USE.
PROPOSITION V. THEOREM.
ARITHMETICALLY.
USE.
PROPOSITION VI. THEOREM.
Arithmetically or by Numbers.
USE.
PROPOSITION VII. THEOREM.
ARITHMETICALLY.
PROPOSITION VIII. THEOREM.
ARITHMETICALLY.
PROPOSITION IX. THEOREM.
ARITHMETICALLY.
USE.
PROPOSITION X. THEOREM.
ARITHMETICALLY.
PROPOSITION XI. PROBLEM.
USE.
PROPOSITION XII. THEOREM.
USE.
PROPOSITION XIII. THEOREM.
USE.
PROPOSITION XIV. PROBLEM.
USE.
THE THIRD BOOK OF Euclid's Elements.
introduction
DEFINITIONS.
propositions
PROPOSITION I. PROBLEM.
USE.
PROPOSITION II. THEOREM.
USE.
PROPOSITION III. THEOREM.
PROPOSITION IV. THEOREM.
USE.
PROPOSITION V. THEOREM.
PROPOSITION VI. THEOREM.
PROPOSITION VII. THEOREM.
USE.
PROPOSITION VIII. THEOREM.
PROPOSITION IX. THEOREM.
PROPOSITION X. THEOREM.
PROPOSITION XI. THEOREM.
PROPOSITION XII. THEOREM.
PROPOSITION XIII. THEOREM.
USE.
PROPOSITION XIV. THEOREM.
PROPOSITION XV. THEOREM.
USE.
PROPOSITION XVI. THEOREM.
PROPOSITION XVII. PROBLEM.
PROPOSITION XVIII. THEOREM.
PROPOSITION XIX. THEOREM.
USE.
PROPOSITION XX. THEOREM.
USE.
PROPOSITION XXI. THEOREM.
USE.
PROPOSITION XXII. THEOREM.
USE.
PROPOSITION XXIII. THEOREM.
PROPOSITION XXIV. THEOREM.
USE.
PROPOSITION XXV. PROBLEM.
USE.
PROPOSITION XXVI. THEOREM.
PROPOSITION XXVII. THEOREM.
PROPOSITION XXVIII. THEOREM.
PROPOSITION XXIX. THEOREM.
USE.
PROPOSITION XXX. PROBLEM.
USE.
PROPOSITION XXXI. THEOREM.
USE.
PROPOSITION XXXII. THEOREM.
USE.
PROPOSITION XXXIII. PROBLEM.
PROPOSITION XXXIV. PROBLEM.
USE.
PROPOSITION XXXV. THEOREM.
USE.
PROPOSITION XXXVI. THEOREM.
PROPOSITION XXXVII. THEOREM.
USE.
THE FOURTH BOOK OF Euclid's Elements.
introduction
The DEFINITIONS.
propositions
PROPOSITION I. PROBLEM.
USE.
PROPOSITION II. PROBLEM.
PROPOSITION III. PROBLEM.
PROPOSITION IV. PROBLEM.
PROPOSITION V. PROBLEM.
USE.
PROPOSITION VI. PROBLEM.
PROPOSITION VII. PROBLEM.
PROPOSITION VIII. PROBLEM.
PROPOSITION IX. PROBLEM.
USE.
PROPOSITION X. PROBLEM.
PROPOSITION XI. PROBLEM.
PROPOSITION XII. PROBLEM.
PROPOSITION XIII. PROBLEM.
PROPOSITION XIV. PROBLEM.
USE.
PROPOSITION XV. PROBLEM.
USE.
PROPOSITION XVI. PROBLEM.
USE.
THE FIFTH BOOK OF Euclid's Elements.
introduction
DEFINITIONS.
The Demands or Propositions.
propositions
PROPOSITION VII. THEOREM.
PROPOSITION VIII. THEOREM.
PROPOSITION IX. THEOREM.
PROPOSITION X. THEOREM.
PROPOSITION XI. THEOREM.
PROPOSITION XII. THEOREM.
PROPOSITION XIII. THEOREM.
PROPOSITION XIV. THEOREM.
PROPOSITION XV. THEOREM.
PROPOSITION XVI. THEOREM.
LEMMA.
COROLLARY. Which in Euclid is after the fourth Proposition.
PROPOSITION XVII. THEOREM.
PROPOSITION XVIII. THEOREM.
COROLLARY.
USE.
PROPOSITION XIX. THEOREM.
USE.
PROPOSITION XXII. THEOREM.
PROPOSITION XXIII. THEOREM.
PROPOSITION XXIV. THEOREM.
PROPOSITION XXV. THEOREM.
USE.
PROPOSITION XXVI. THEOREM.
PROPOSITION XXVII. THEOREM.
PROPOSITION XXVIII. THEOREM.
PROPOSITION XXIX. THEOREM.
PROPOSITION XXX. THEOREM.
PROPOSITION XXXI. THEOREM.
PROPOSITION XXXII. THEOREM.
PROPOSITION XXXIII. THEOREM.
PROPOSITION XXXIV. THEOREM.
THE SIXTH BOOK OF Euclid's Elements.
introduction
The DEFINITIONS.
propositions
PROPOSITION I. THEOREM.
USE.
PROPOSITION II. THEOREM.
USE
PROPOSITION III. THEOREM.
USE.
PROPOSITION IV. THEOREM.
USE.
PROPOSITION V. THEOREM.
PROPOSITION VI. THEOREM.
PROPOSITION VIII. THEOREM.
USE.
PROPOSITION IX. PROBLEM.
PROPOSITION X. PROBLEM.
PROPOSITION XI. THEOREM.
PROPOSITION XII. PROBLEM.
USE.
PROPOSITION XIII. PROBLEM.
USE.
PROPOSITION XIV. THEOREM.
PROPOSITION XV. THEOREM.
PROPOSITION XVI. THEOREM.
PROPOSITION XVII. THEOREM.
USE.
PROPOSITION XVIII. THEOREM.
USE.
PROPOSITION XIX. THEOREM.
USE.
PROPOSITION XX. THEOREM.
USE from the Learned Dr. Barrow.
PROPOSITION XXI. THEOREM.
PROPOSITION XXII. THEOREM.
USE.
PROPOSITION XXIII. THEOREM.
PROPOSITION XXIV. THEOREM.
USE.
PROPOSITION XXV. PROBLEM.
USE
PROPOSITION XXVI. THEOREM.
PROPOSITION XXX. PROBLEM.
USE.
PROPOSITION XXXI. THEOREM.
USE.
PROPOSITION XXXIII. THEOREM.
THE ELEVENTH BOOK OF Euclid's Elements.
introduction
DEFINITIONS.
propositions
PROPOSITION I. THEOREM.
USE.
PROPOSITION II. THEOREM.
USE.
PROPOSITION III. THEOREM.
USE.
PROPOSITION IV. THEOREM.
USE.
PROPOSITION V. THEOREM.
PROPOSITION VI. THEOREM.
USE.
PROPOSITION VII. THEOREM.
PROPOSITION VIII. THEOREM.
PROPOSITION IX. THEOREM.
USE.
PROPOSITION X. THEOREM.
USE.
PROPOSITION XI. PROBLEM.
PROPOSITION XII. PROBLEM.
PROPOSITION XIII. THEOREM.
USE.
PROPOSITION XIV. THEOREM.
USE.
PROPOSITION XV. THEOREM.
PROPOSITION XVI. THEOREM.
USE.
PROPOSITION XVII. THEOREM.
PROPOSITION XVIII. THEOREM.
USE
PROPOSITION XIX. THEOREM.
USE.
PROPOSITION XX. THEOREM.
PROPOSITION XXI. PROBLEM.
USE.
PROPOSITION XXIV. THEOREM.
PROPOSITION XXV. THEOREM.
USE
PROPOSITION XXVI. THEOREM.
PROPOSIT. XXIX. XXX. & XXXI THEOREM.
PROPOSITION XXXII. THEOREM.
USE
PROPOSITION XXXIII. THEOREM.
USE.
PROPOSITION XXXIV. THEOREM.
USE.
PROPOSITION XXXVI. THEOREM.
PROPOSITION XXXVII. THEOREM.
PROPOSITION XXXVIII. THEOREM.
USE.
PROPOSITION XXXIX. THEOREM.
USE.
PROPOSITION XL. THEOREM.
THE TWELFTH BOOK OF Euclid's Elements.
introduction
propositions
PROPOSITION I. THEOREM.
LEMMA.
PROPOSITION II. THEOREM.
USE.
PROPOSITION III. THEOREM.
PROPOSITION. IV. THEOREM.
USE.
PROPOSITION V. THEOREM.
PROPOSITION VI. THEOREM.
PROPOSITION VII. THEOREM.
PROPOSITION VIII. THEOREM.
PROPOSITION IX. THEOREM.
USE
LEMMA.
PROPOSITION X. THEOREM.
PROPOSITION XI. THEOREM.
PROPOSITION XII. THEOREM.
PROPOSITION XIII. THEOREM.
PROPOSITION XIV. THEOREM.
PROPOSITION XV. THEOREM.
LEMMA I.
LEMMA II.
PROPOSITION XVIII. THEOREM.
ERRATA.
Advertisement of Globes, Books, Maps, &c. made and sold by Philip Lea at the Sign of the Atlas and Hercules in the Poultry, near Cheapside, London.
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