Elements of geometry, containing books i. to vi.and portions of books xi ... - Euclides, James Hamblin Smith - Βιβλία Google

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Note 9. ON THE METHODS EMPLOYED IN THE SOLUTION

OF PROBLEMS

Note 10. ON SYMMETRY

Note 11. EUCLID'S PROPOSITION V. OF Book L

Note 12. EUCLID'S PROPOSITION VI. OF BOOK I.

Note 13. EUCLID'S PROPOSITION VII. OF BOOK I..

Note 14. EUCLID'S PROPOSITION VIII. OF BOOK I.

Note 15. ANOTHER PROOF OF EUCLID I. 24.

Note 16. EUCLID'S PROOF OF PROP. XXVI. OF BOOK I.

MISCELLANEOUS EXERCISES ON BOOKS I AND II.

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DEFINITION XIII.

EUCLID'S PROPOSITIONS XVI. To XX.

Note 2. ON FLAT AND REFLEX ANGLES

.

EUCLID'S PROPOSITIONS XXI. AND XXII.

Note 3. ON THE METHOD OF SUPERPOSITION AS APPLIED

TO CIRCLES

EUCLID'S PROPOSITIONS XXVI. TO XXIX.

Note 4. ON THE SYMMETRICAL PROPERTIES OF THE CIRCLE

WITH REGARD TO ITS DIAMETER

PAGE

160

EUCLID'S PROPOSITIONS XXX. TO XXXVII.

MISCELLANEOUS EXERCISES ON BOOK III.

EUCLID'S PROPOSITIONS XXIII. AND XXIV. OF BOOK III, 175

ANOTHER PROOF OF III, 22

ANOTHER PROOF OF III. 31

INTRODUCTORY REMARKS

EUCLID'S PROPOSITIONS I. TO IV.

EUCLID'S PROPOSITIONS VI. TO XVI.

MISCELLANEOUS EXERCISES ON BOOK IV.

EUCLID'S ELEMENTS-BOOK IV.

PROPOSITION I. (EUCL. V. 1)

PROPOSITION II. (EUCL. V. 2).

PROPOSITION III. (EUCL. V. 3)

APPENDIX TO BOOKS I.—IV.

EUCLID PAPERS SET IN THE CAMBRIDGE MATHEMATICAL

TRIPOS FROM 1848 TO 1872.

EUCLID'S ELEMENTS-BOOK V.

SECTION I.-ON MULTIPLES AND EQUIMULTIPLES-Pp. 211 to 214.

211

DEFINITIONS I. II. .

METHOD OF NOTATION

SCALES OF MULTIPLES

SECTION II.-ON RATIO AND PROPORTION-Pp. 215 to 229.

DEFINITION III.

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SECTION III.-CONTAINING THE PROPOSITIONS MOST FRE-

QUENTLY REFERRED TO IN BOOK VI.-Pp. 221 to 226.

PROPOSITION XII. (EUCL. V. B)

PROPOSITION XIII. (EUCL. V. 13)

PROPOSITION XIV. (EUCL. V. 14)

PROPOSITION XV. (EUCL. V. 16)

PROPOSITION XVI. (EUCL. V. 18)

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SECTION IV.-ON PROPORTION BY INVERSION, ALTERNATION

AND SEPARATION-Pp. 227 to 230.

SECTION V.-CONTAINING THE PROPOSITIONS OCCASIONALLY

REFERRED TO IN BOOK VI.-Pp. 231 to 234.

SECTION VI.-CONTAINING THE PROPOSITIONS TO WHIGH NO
REFERENCE IS MADE IN BOOK VI.-Pp. 235 to 242.

PROPOSITION XXIII. (EUCL. V. 5)

PROPOSITION XXIV. (EUCL. V. 6)

PROPOSITION XXV. (EUCL. V. 17)

PROPOSITION XXVI. (EUCL. V. 19)

PROPOSITION XXVII. (EUCL. V. 21)

PROPOSITION XXVIII. (EUCL. V. 23)

PROPOSITION XXIX. (EUCL. V. 25)

PROPOSITION XXX. (EUCL. V. c)

PROPOSITION XXXI. (EUCL. V. E)

EUCLID'S PROPOSITION VII.

PROPOSITION VIII. (EUCL. VI. 9)

PROPOSITION IX. (EUCL. VI. 10)

PROPOSITION X. (EUCL. VI. 11)

DEFINITIONS II. III.

EUCLID'S ELEMENTS-BOOK VI.

INTRODUCTORY REMARKS

EUCLID'S PROPOSITIONS I. TO VI.

MISCELLANEOUS EXERCISES ON PROPS. I. TO VI.

PROPOSITION XI. (EUCL. VI. 12)

PROPOSITION XII. (EUCL. VI. 8)

EUCLID'S PROPOSITION XIII.

EUCLID'S PROPOSITIONS XIV. TO XIX.

EXERCISES ON PROPOSITION XIX.

PROPOSITION XX. (EUCL. VI. 21)

PROPOSITION XXI. (EUCL. VI. 20)

PROPOSITION XXII. (EUCL. VI. 31).

EUCLID'S PROPOSITION XXIII.

PROPOSITION XXIV. (EUCL. VI. 22)

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PAPERS ON EUCLID (BOOKS VI. AND XI.) SET IN THE CAM-

BRIDGE MATHEMATICAL TRIPOS

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