 | Euclid - 1765 - 492 σελίδες
...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 - 1806 - 546 σελίδες
...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 - 714 σελίδες
...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 σελίδες
...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,...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 to... | |
 | Charles Hutton - 1816 - 610 σελίδες
...When equals are added to unequals, the wholes arc Unequal. 5. When equals are taken from unequals, the remainders are unequal. 6 Things which are double of the same thing, or equal things, are equal to each other. 7. Things which arc halves of the same thing, afe... | |
 | Euclides - 1816 - 588 σελίδες
...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 σελίδες
...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... | |
 | Charles Hutton - 1822 - 616 σελίδες
...When equals are added to unequala, the wholes are unequal. 5. When equals are taken from unequals ; the remainders are unequal. 6. Things which are double of the same thing, or equal things, are equal to each other. 7. Things which are halves of the same thing, are... | |
 | Euclid - 1822 - 222 σελίδες
...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... | |
 | Peter Nicholson - 1823 - 210 σελίδες
...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... | |
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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. 
