 | Fletcher Durell, Edward Rutledge Robbins - Algebra - 1909 - 296 pages
...the best advantage. They are the so-called axioms : 1. Things equal to the same thing, or to equals, are equal to each other. 2. If equals be added to equals, the sums are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. If equals be multiplied... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...corollary is a consequence, obvious, or easily deduced from a proposition or a definition. 30. GENERAL AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are... | |
 | John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - Algebra - 1911 - 257 pages
...translate approximately the meaning of the Greek. There are also five of these : 1. Things equal to the same thing are equal to each other. 2. If equals be added to equals, the results are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. The whole is... | |
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If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal. 
