 | William Steadman Aldis - Algebra - 1887 - 616 pages
...the remainders are equal. (3) If equal quantities be multiplied by equal quantities, the products are equal. (4) If equal quantities be divided by equal quantities, the quotients are equal. These axioms might be all replaced by one to the effect that if equal quantities be similarly... | |
 | Edward Albert Bowser - Algebra - 1888 - 868 pages
...are founded upon the following axioms : 1. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be taken from...by equal quantities, the quotients will be equal, f * The equation is supposed to be reduced to such a form that the unknown quantity is found only in... | |
 | Webster Wells - Algebra - 1889 - 584 pages
...be equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. а. If equal quantities be divided by equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not... | |
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Algebraic operations are based upon definitions, and the following axioms : 1. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal... 
