| 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 - 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... | |
| John Mason Good - 1813 - 722 pages
...If equals be added to unequal», the «holes яге unequal. 5. If equals be taken from unequal«, **the remainders are unequal. 6. Things which are double...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... | |
| Euclides - 1816 - 528 pages
...unequals, the wholes are unequal V. If equals betaken 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... | |
| Henry Aldrich - 1821 - 300 pages
...allowed as soon as perceived : such are axioms ; which neither require nor admit syllogistic proof: as, **Things which are double of the same are equal to one another.** In the secondary degree, it denotes the certainty of those relations which may be immediately deduced... | |
| Euclid - 1822 - 179 pages
...taken from unequals, the remainders are unequal. 6. Things which are double of the same or of equals, **are equal to one another. 7. Things which are halves of the same** or of equals, are equal to one another. 8. Magnitudes which coincide with one another, are equal to... | |
| Peter Nicholson - Architecture - 1823 - 210 pages
...taken from unequals, the remainders will be unequal. 6. Things which are double of the same thing, **are equal to one another. 7. Things which are halves of the same** thing, are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly... | |
| Robert Simson - Trigonometry - 1827 - 513 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... | |
| John Playfair - Geometry - 1829 - 186 pages
...equals be taken from unequals, the remainders are unequal. 6. Things which are doubles of the same thing **are equal to one another. 7. Things which are halves of the same** thing are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly... | |
| Euclid - Euclid's Elements - 1833 - 183 pages
...taken from unequals, the remainders are unequal. 6. Things, which are double of the same or of equals, **are equal to one another. 7. Things, which are halves of the same** or of equals, are equal to one another. 8. Magnitudes, which coincide with one another, are equal to... | |
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