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" Things which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals... "
Euclid's plane geometry, practically applied; book i, with explanatory notes ... - Side 17
av Euclides - 1863
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Euclid: The Great Geometer

Chris Hayhurst - 2005 - 118 sider
...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...
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The Thirteen Books of Euclib's Elements.

Euclid - 454 sider
...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...
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