| Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...are the Postulates, to geometrical magnitudes. AXIOMS. I. Things which are equal to the same thing **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. IV. If equals and unequals be added together, the wholes... | |
| Stewart W. and co - 1884 - 272 pages
...be described from any centre, at any distance from that centre. AXIOMS. I. Things equal to the same **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the rwnainderi are equal. IV. If equals be added to unequals, the wholes are... | |
| Euclides - 1884 - 214 pages
...centre, at any distance from that centre. AXIOMS. I. Magnitudes which are equal to the same magnitude, **are equal to one another. II. If equals be added to equals, the wholes are equal. III. If equals** be taken from equals, the remainders are equal. IV. If equals be added to unequals, the wholes are... | |
| Chris Hobbs, Richard Perryman - 2007 - 130 pages
...proved. The first few of these are: (i) Things which are equal to the same thing are equal to each other. **(ii) If equals be added to equals, the wholes are equal. (iii) If equals** be taken from equals, the remainders are equal. In these axioms, Euclid of Alexandria is talking about... | |
| |