| Euclid - Geometry - 1872 - 284 pages
...equals he taken, the remainders are unequal. 6. Things which are douhle 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... | |
| William Alexander Myers - Circle-squaring - 1873 - 238 pages
...be 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... | |
| William Alexander Myers - Circle-squaring - 1874 - 207 pages
...be 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 Potts - Geometry - 1876 - 446 pages
...unequals, the wholes are unequal, V. If equals be taken from unequals, the remainders are unequal. VL Things which are double of the same, are equal to one another. VIL Things which are halves of the same, are equal to one another. vm. Magnitudes which coincide with... | |
| Euclides - 1877 - 58 pages
...equals be taken from unequals, the remainders are 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... | |
| Elias Loomis - Conic sections - 1877 - 458 pages
...from unequals, the remain ders are unequal. 6. Things which are doubles 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, that is, which... | |
| Euclides - 1879 - 146 pages
...equals be taken from unequals the remainders are 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... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...subtracted from unequals, the remainders are unequal. 7. Things which are halves of the same thing are equal to one another. 8. Magnitudes which coincide with one another are equal to one another. 9. The whole is greater than its part. 10. All right angles are equal to... | |
| Rolla Rouse - 1879 - 402 pages
...If equals be taken from unequals, the remainders are unequal (B — A unequal to D — C). Axiom 6. Things which are double of the same are equal to one another (A — 2B . C = 2B .-. A = C). Axiom 7. Things which are halves of the same are equal to one another... | |
| T S. Taylor - 1880 - 152 pages
...one another. 6a. (Not given by Euclid, but assumed by him). Things which are doubles of equal things 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 are equal to one another.... | |
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