 | Constance Reid - 2004 - 306 sider
...47, AXIOMS AND POSTULATES OF EUCLID ° AXIOMS 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal... | |
 | Chris Hayhurst - 2005 - 118 sider
...notions in book I. All five are about equality. 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal... | |
 | Euclid - 454 sider
...less than the two right angles. COMMON NOTIONS. 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. [7] 4. Things which coincide with one another are... | |
 | Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1891 - 540 sider
...conclusion." The theorem may so consist, but the enunciation of it does not. He tells us that things that are equal to the same thing (or to equal things ?) are equal to each other. Nothwithstanding the axiom, he makes the first theorem in Book I., All straiglit angles... | |
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Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 
