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 content_copy

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 May 21, 2024. content_copy

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.
        • 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.
• colophon
• diagrams
  • plate - 2
  • plate - 1
  • plate - 3
  • plate
  • plate - 4
  • plate - 5
  • plate - 6
  • plate - 7
  • plate - 8