 | Dugald Stewart - 1854 - 454 σελίδες
...K«! ra ifxfpi^nra if «>.?,:,•/.,•/. tvx i\\g>.ti! Irri : — thus translated by Dr. Simson ; " Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another." This, in truth, is not an axiom, but a definition . It is the definition of geometrical equality ;... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...unequals, the wholes will be unequal. If equals be taken from tmeqnals, the remainders will be unequal. VI. Things which are double of the same are equal to one another. •га. Things which are halves of the same are equal to one another. VIII. Magnitudes which coincide,... | |
 | Euclides - 1855 - 270 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... | |
 | Robert Rawson - 1856 - 178 σελίδες
...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. vn. Things which are halves of the same, are equal to one another. vin. Magnitudes which coincide with... | |
 | Thomas Cogswell Upham - 1857 - 478 σελίδες
...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... | |
 | Euclides - 1858 - 248 σελίδες
...unequals, the wholes are unequal. 5. If equals be takea from unequals, the remainders are unequal. 6. Things which are double of the same, are equal to one another. 7. Things which are another. halves of the same, are equal to one II. The Five Axioms, which apply especially to magnitude,... | |
 | 1858 - 402 σελίδες
...Marvels" is equal to Mrs. Stowe's "Memories," and the total equivalent to a whole calf's head. VIH. Magnitudes which coincide with one another, that is, which exactly fill the same space, are eqnal to one another, thus—two booby lords, or magnitudes, which coincide in the Cabinet, in the... | |
 | Euclides - 1860 - 286 σελίδες
...which are double of the same, are equal. . -,3 7. Things which are halves of the same, are equal. -. , 8. Magnitudes which coincide with one another —...fill the same space — are equal to one another. 'iq 10 9. The whole is greater than its part. . •.: 10. All right angles are equal to one another.... | |
 | Robert Potts - 1860 - 380 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. VEIL Magnitudes which coincide... | |
 | Euclides - 1862 - 140 σελίδες
...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...Magnitudes which coincide with one another, that is, wliich exactly fill the same space, are equal to one another. 9. The whole is greater than its part.... | |
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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. 
