 | Euclid - 1789 - 296 ページ
...taken from unequals the remainders will be unequal. • 6. Things which are double of the fame thing are equal to each other. 7. Things which are halves of the fame thing are equal to each other. 8. The whole is equal to all its parts taken together. 9. Magnitudes... | |
 | John Mason Good - 1813 - 714 ページ
...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 of the same, are equal to one another. 7. Thing-s which are iial-.es of the same, are -equal -to one another, 8.... | |
 | Euclid - 1822 - 222 ページ
...remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be 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... | |
 | Rev. John Allen - 1822 - 516 ページ
...remains from the subtraction of the greater, being the less. 6. Things, which are double of the same, are equal to each other. 7. Things, which are halves of the same, are equal to each other. 8. Things, which, being applied to each other, do coincide, are equal. Corollary.... | |
 | Peter Nicholson - 1825 - 1046 ページ
...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 of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 8. Magnitudes... | |
 | Euclid - 1826 - 234 ページ
...remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 8. Things... | |
 | Euclides - 1826 - 226 ページ
...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 of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 8. Things... | |
 | Timothy Walker - 1829 - 156 ページ
...remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 8. Magnitudes... | |
 | Euclid - 1833 - 216 ページ
...remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be 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... | |
 | Adrien Marie Legendre - 1836 - 394 ページ
...taken from unequals, the remainders will be unequal. 6. Things which are double of the same thing, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all... | |
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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 be taken from unequals, the remainders are unequal. 6. Things which... 
