 | Euclid - 1765 - 492 Seiten
...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... | |
 | John Mason Good - 1813 - 714 Seiten
...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... | |
 | John Greig - 1816 - 224 Seiten
...equals be added to unequals, the whole are unequal. 5. If equals be taken from unequals, the remainder are unequal. 6. Things which are double of the same,...are halves of the same, are equal to one another. , 8. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal... | |
 | Euclid - 1822 - 222 Seiten
...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 - 1823 - 210 Seiten
...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... | |
 | Peter Nicholson - 1825 - 1046 Seiten
...equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequal s, the remainders are unequal. 6. Things which are double...are halves of the same, are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly fill the space, are equal to... | |
 | Euclid - 1826 - 234 Seiten
...Geometry, proposition 1, book i. AXIOMS. 1. Things which are equal to the same are equal to one another. 2. If equals' be added to equals, the wholes are equal....are halves of the same, are equal to one another. 8. Things which mutually agree with one another, are equal to one another. 0. The whole is greater... | |
 | Euclides - 1826 - 226 Seiten
...equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from uncquals, the remainders are unequal. 6. Things which are double...are halves of the same, are equal to one another. 8. Things which mutually agree with one another, are equal to one another. 9. The whole is greater... | |
 | John Playfair - 1829 - 210 Seiten
...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 - 1833 - 216 Seiten
...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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Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals... 
