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 ...
- 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 ...
- Author
- Dechales, Claude-François Milliet, 1621-1678.
- Publication
- London :: Printed for Philip Lea ...,
- 1685.
- Rights/Permissions
-
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- Subject terms
- Geometry -- Early works to 1800.
- Mathematical analysis.
- Link to this Item
-
https://name.umdl.umich.edu/A38722.0001.001
- Cite this Item
-
"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 ..." In the digital collection Early English Books Online 2. https://name.umdl.umich.edu/A38722.0001.001. University of Michigan Library Digital Collections. Accessed June 5, 2024.
Contents
- 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.
- PROPOSITION II. PROBLEM.
- PROPOSITION III. PROBLEM.
- PROPOSITION IV. THEOREM.
- PROPOSITION V. THEOREM.
- PROPOSITION VI. THEOREM.
- PROPOSITION VIII. THEOREM
- PROPOSITION IX. PROBLEM.
- PROPOSITION X. PROBLEM.
- PROPOSITION XI. PROBLEM.
- PROPOSITION XII. PROBLEM.
- PROPOSITION XIII. THEOREM.
- PROPOSITION XIV. THEOREM.
- PROPOSITION XV. THEOREM.
- PROPOSITION XVI. THEOREM.
- PROPOSITION XVII. THEOREM.
- PROPOSITION XVIII. THEOREM.
- PROPOSITION XIX. THEOREM.
- PROPOSITION XX. THEOREM.
- PROPOSITION XXI. THEOREM.
- PROPOSITION XXII. PROBLEM.
- PROPOSITION XXIII. PROBLEM.
- PROPOSITION XXIV. THEOREM.
- PROPOSITION XXV. THEOREM.
- PROPOSITION XXVI. THEOREM.
- LEMMA.
- PROPOSITION XXVII. THEOREM.
- PROPOSITION XXVIII. THEOREM.
- PROPOSITION XXIX. THEOREM.
- PROPOSITION XXX. THEOREM.
- PROPOSITION XXXI. PROBLEM.
- PROPOSITION XXXII. THEOREM.
- PROPOSITION XXXIII. THEOREM.
- PROPOSITION XXXIV. THEOREM.
- PROPOSITION XXXV.
- PROPOSITION XXXVI. THEOREM.
- PROPOSITION XXXVII. THEOREM.
- PROPOSITION XXXVIII. THEOREM.
- PROPOSITION XXXIX. PROBLEM.
- PROPOSITION XL. THEOREM.
- PROPOSITION XLI. THEOREM.
- PROPOSITION XLII. PROBLEM.
- PROPOSITION XLIII. PROBLEM.
- PROPOSITION XLIV. PROBLEM.
- PROPOSITION XLV. PROBLEM.
- PROPOSITION XLVI. PROBLEM.
- PROPOSITION XLVII. THEOREM.
- PROPOSITION XLVIII. THEOREM.
-
THE SECOND BOOK OF
Euclid 's Elements.- introduction
- DEFINITIONS.
-
propositions
- PROPOSITION I. PROBLEM.
- PROPOSITION II. THEOREM.
- PROPOSITION III. THEOREM.
- PROPOSITION IV. THEOREM.
- PROPOSITION V. THEOREM.
- PROPOSITION VI. THEOREM.
- PROPOSITION VII. THEOREM.
- PROPOSITION VIII. THEOREM.
- PROPOSITION IX. THEOREM.
- PROPOSITION X. THEOREM.
- PROPOSITION XI. PROBLEM.
- PROPOSITION XII. THEOREM.
- PROPOSITION XIII. THEOREM.
- PROPOSITION XIV. PROBLEM.
-
THE THIRD BOOK OF
Euclid 's Elements.- introduction
- DEFINITIONS.
-
propositions
- PROPOSITION I. PROBLEM.
- PROPOSITION II. THEOREM.
- PROPOSITION III. THEOREM.
- PROPOSITION IV. THEOREM.
- PROPOSITION V. THEOREM.
- PROPOSITION VI. THEOREM.
- 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.
- PROPOSITION XVII. PROBLEM.
- PROPOSITION XVIII. THEOREM.
- PROPOSITION XIX. THEOREM.
- PROPOSITION XX. THEOREM.
- PROPOSITION XXI. THEOREM.
- PROPOSITION XXII. THEOREM.
- PROPOSITION XXIII. THEOREM.
- PROPOSITION XXIV. THEOREM.
- PROPOSITION XXV. PROBLEM.
- PROPOSITION XXVI. THEOREM.
- PROPOSITION XXVII. THEOREM.
- PROPOSITION XXVIII. THEOREM.
- PROPOSITION XXIX. THEOREM.
- PROPOSITION XXX. PROBLEM.
- PROPOSITION XXXI. THEOREM.
- PROPOSITION XXXII. THEOREM.
- PROPOSITION XXXIII. PROBLEM.
- PROPOSITION XXXIV. PROBLEM.
- PROPOSITION XXXV. THEOREM.
- PROPOSITION XXXVI. THEOREM.
- PROPOSITION XXXVII. THEOREM.
-
THE FOURTH BOOK OF
Euclid 's Elements.- introduction
- The DEFINITIONS.
-
propositions
- PROPOSITION I. PROBLEM.
- PROPOSITION II. PROBLEM.
- PROPOSITION III. PROBLEM.
- PROPOSITION IV. PROBLEM.
- PROPOSITION V. PROBLEM.
- PROPOSITION VI. PROBLEM.
- PROPOSITION VII. PROBLEM.
- PROPOSITION VIII. PROBLEM.
- PROPOSITION IX. PROBLEM.
- PROPOSITION X. PROBLEM.
- PROPOSITION XI. PROBLEM.
- PROPOSITION XII. PROBLEM.
- PROPOSITION XIII. PROBLEM.
- PROPOSITION XIV. PROBLEM.
- PROPOSITION XV. PROBLEM.
- PROPOSITION XVI. PROBLEM.
-
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.
- PROPOSITION XVII. THEOREM.
- PROPOSITION XVIII. THEOREM.
- PROPOSITION XIX. THEOREM.
- PROPOSITION XXII. THEOREM.
- PROPOSITION XXIII. THEOREM.
- PROPOSITION XXIV. THEOREM.
- PROPOSITION XXV. THEOREM.
- 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.
- PROPOSITION II. THEOREM.
- PROPOSITION III. THEOREM.
- PROPOSITION IV. THEOREM.
- PROPOSITION V. THEOREM.
- PROPOSITION VI. THEOREM.
- PROPOSITION VIII. THEOREM.
- PROPOSITION IX. PROBLEM.
- PROPOSITION X. PROBLEM.
- PROPOSITION XI. THEOREM.
- PROPOSITION XII. PROBLEM.
- PROPOSITION XIII. PROBLEM.
- PROPOSITION XIV. THEOREM.
- PROPOSITION XV. THEOREM.
- PROPOSITION XVI. THEOREM.
- PROPOSITION XVII. THEOREM.
- PROPOSITION XVIII. THEOREM.
- PROPOSITION XIX. THEOREM.
- PROPOSITION XX. THEOREM.
- PROPOSITION XXI. THEOREM.
- PROPOSITION XXII. THEOREM.
- PROPOSITION XXIII. THEOREM.
- PROPOSITION XXIV. THEOREM.
- PROPOSITION XXV. PROBLEM.
- PROPOSITION XXVI. THEOREM.
- PROPOSITION XXX. PROBLEM.
- PROPOSITION XXXI. THEOREM.
- PROPOSITION XXXIII. THEOREM.
-
THE ELEVENTH BOOK OF
Euclid's Elements.- introduction
- DEFINITIONS.
-
propositions
- PROPOSITION I. THEOREM.
- PROPOSITION II. THEOREM.
- PROPOSITION III. THEOREM.
- PROPOSITION IV. THEOREM.
- PROPOSITION V. THEOREM.
- PROPOSITION VI. THEOREM.
- PROPOSITION VII. THEOREM.
- PROPOSITION VIII. THEOREM.
- PROPOSITION IX. THEOREM.
- PROPOSITION X. THEOREM.
- PROPOSITION XI. PROBLEM.
- PROPOSITION XII. PROBLEM.
- PROPOSITION XIII. THEOREM.
- PROPOSITION XIV. THEOREM.
- PROPOSITION XV. THEOREM.
- PROPOSITION XVI. THEOREM.
- PROPOSITION XVII. THEOREM.
- PROPOSITION XVIII. THEOREM.
- PROPOSITION XIX. THEOREM.
- PROPOSITION XX. THEOREM.
- PROPOSITION XXI. PROBLEM.
- PROPOSITION XXIV. THEOREM.
- PROPOSITION XXV. THEOREM.
- PROPOSITION XXVI. THEOREM.
- PROPOSIT. XXIX. XXX. & XXXI THEOREM.
- PROPOSITION XXXII. THEOREM.
- PROPOSITION XXXIII. THEOREM.
- PROPOSITION XXXIV. THEOREM.
- PROPOSITION XXXVI. THEOREM.
- PROPOSITION XXXVII. THEOREM.
- PROPOSITION XXXVIII. THEOREM.
- PROPOSITION XXXIX. THEOREM.
- PROPOSITION XL. THEOREM.
-
THE TWELFTH BOOK OF
Euclid 's Elements.- introduction
-
propositions
- PROPOSITION I. THEOREM.
- LEMMA.
- PROPOSITION II. THEOREM.
- PROPOSITION III. THEOREM.
- PROPOSITION. IV. THEOREM.
- PROPOSITION V. THEOREM.
- PROPOSITION VI. THEOREM.
- PROPOSITION VII. THEOREM.
- PROPOSITION VIII. THEOREM.
- PROPOSITION IX. THEOREM.
- 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.
-
The FIRST BOOK.
- ERRATA.
-
Advertisement of Globes, Books, Maps, &c. made and sold by
Philip Lea at the Sign of theAtlas andHercules in thePoultry, nearCheapside, London. - colophon
- diagrams