 | Euclides - 1840 - 192 pages
...remains from the greater of the unequal magnitudes. 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 to say, which... | |
 | Euclides - Geometry - 1841 - 378 pages
...equals, the remainders are equal. IV. If equals be added to unequals, the wholes are unequal. V. 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... | |
 | Thomas Cogswell Upham - Intellect - 1841 - 474 pages
...one another ; If equals be added to equals, the 'wholes are equal; The whole is greater than a part; Things which are double of the same are equal to one another ; Things which are halves of the same are equal to one another ; Magnitudes which coincide with one... | |
 | William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 pages
...the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals he taken from unequals, the remainders are unequal. 6....to one another. 7. Things which are halves of the came, are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...be taken from unequals, the remainders are unequal. 8. 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... | |
 | Scottish school-book assoc - 1845 - 444 pages
...from unequals, thé remainders are unequals. 6 Things which are double of the same, or equal things, are equal to one another. 7- Things which are halves of the same, or equal things, are equal to one another. 8. Magnitudes which coincide with one another, that is,... | |
 | Euclides - 1845 - 546 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... | |
 | Euclid - Geometry - 1845 - 218 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. vn. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide... | |
 | Euclides - 1846 - 272 pages
...equals be taken, 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...be taken from unequals, the remainders are unequal. 8. 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... | |
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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. 
