| Euclid - Geometry - 1765 - 464 pages
...away from unequal things, the remainders are unequal. 6. Things which are double to the fame thing, **are equal to one another. 7. Things which are halves of the** fame thing, are equal to one another. 8. Things which mutually agree with one another, are equal to... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...are equal to one another. VII. Things which are halves of the fame, are equal to one another. VIII. **Magnitudes which coincide with one another, that is, which exactly fill the** fame fpace, are equal to one another. IX. Booktl IX. The whole is greater than its part. .A. • Two... | |
| Euclid - 1781 - 550 pages
...are equal to one another. VII. Things which are halves of the fame, are equal to one another. VIII. **Magnitudes which coincide with one another, that is, which exactly fill the** fame fpace, are equal to one another. IX. Book I. IX. The whole is greater than its pan. X. Two ftraight... | |
| Benjamin Donne - 1796 - 118 pages
...Things which are double of the fame, are equal to one another. 7Things which are halves of the fame, **are equal to one another. 8. Magnitudes which coincide...with one another, that is, which exactly fill the** fame fpace, are equal to one another. 9, 9The whole is greater than its part. 10. Two ftraight lines... | |
| Robert Simson - Trigonometry - 1804
...are equal to one anotherw VII. Things which are halves of the fame, are equal to one another. VIII. **Magnitudes, which coincide with one another, that is, which exactly fill the** fame fpace, are equal to one another. f Took I. IX. The whole Is greater than its part. X. Two ftraight... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...equal to one ' another. VII. Things which are halves of the same thing are equal to one another. VIII. **Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another.** IX. The whole is greater than its part. X. All right angles are equal to one another. " Two straight... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. **Things which are double of the same are equal to one another.** VII. Things which are halves of the same are equal to one another. VIII. Magnitudes which coincide... | |
| Isaac Dalby - Mathematics - 1807 - 476 pages
...all its parts taken together. 35. Things which arc the like parts of the same thing, are equal. 3(J. **Magnitudes which coincide with one another, that is which exactly fill the same space, are** identical, or mutually equal in all their parts. 37- All right angles are equal to one another. NB... | |
| John Mason Good - 1813 - 722 pages
...unequal», the «holes яге unequal. 5. If equals be taken from unequal«, the remainders are unequal. 6. **Things which are double of the same, are equal to one another. 7. Thing-s which are** iial-.es of the same, are -equal -to one another, 8. 'Magnitudes which coincide with one another, that... | |
| Dugald Stewart - Psychology - 1814 - 564 pages
...K«i T» cQxf/Mfytrtt nr' aAAitA« IT'« «AAi,Ao/.; ttrrt : — thus translated by Dr. Simaon : " **Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another."** This, in truth, is not an axiom, but a definition. It is the definition of geometrical equality ; the... | |
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