 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 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 exag^ly... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 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... | |
 | Robert Potts - 1868 - 434 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. VEIL Magnitudes which coincide... | |
 | Euclides - 1870 - 270 pages
...apply to number and quantity as well as to magnitude, were called by Euclid COMMON NOTIONS. are — 1. Things which are equal to the same thing, are equal...are halves of the same, are equal to one another. II. The Five Axioms, which apply especially to magnitude, are peculiarly Axioms of Geometry. 8. Magnitudes... | |
 | 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... | |
 | 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 - 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... | |
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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. 
