 | Popular educator - 1872 - 842 pages
...self-evident proposition. 1. If the same quantity or equal quantities be added to equal quantities, their sums will be equal. 2. If the same quantity or equal quantities...multiplied into the same, or equal quantities, the product* will be equal. 4. If equal quantities be divided by the same or equal quantities, the quotient*... | |
 | Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...following axioms : 1. If the same quantity or equal quantities be added to equal quantities, their sums will be equal. 2. If the same quantity or equal quantities...will be equal. 3. If equal quantities be multiplied by the same, or equal quantities, the products will be equal. 4. If equal quantities be dirided by... | |
 | Joseph Ficklin - Algebra - 1874 - 446 pages
...of all its parts. 2. If equal quantities be added to equal quantities, the sums will be equal. 3. If equal quantities be subtracted from equal quantities, the remainders will be equal. 4. If equal quantities be multiplied by the same or by-equal quantities, the products will be equal.... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 462 pages
...the following : 1. If the same quantity or equal quantities be added to equal quantities, the sums will be equal. 2. If the same quantity or equal quantities...will be equal. 3. If equal quantities be multiplied by the same number, the products will be equal. 4. If equal quantities be divided by the same number,... | |
 | Horatio Nelson Robinson - Algebra - 1875 - 430 pages
...algebraic operations : 1. If the same quantity or equal quantities be added to equal quantities, the sums will be equal. 2. If the same quantity or equal quantities be subtracted from ^qual quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same, or... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...following axioms : — 1. If the same quantity, or equal quantities, be added to equal quantities, the sums will be equal. 2. If the same quantity, or equal quantities,...will be equal. 3. If equal quantities be multiplied by the same quantity, or equal quantities, the products will be equal. 4. If equal quantities be divided... | |
 | Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...given : Axiom 1. If the same quantity or equal quantities be added to equal quantities, their sums will be equal. 2. If the same quantity or equal quantities...will be equal. 3. If equal quantities be multiplied by the same or by equal quantities, the products will be equal. 4. If equal quantities be divided by... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...following axioms : — 1. If the same quantity, or equal quantities, be added to equal quantities, the sums will be equal. 2. If the same quantity, or equal quantities,...will be equal. 3. If equal quantities be multiplied by the same quantity, or Ъy equal quantities, the products will be equal. 4. If equal quantities be... | |
 | Edwin Pliny Seaver, George Augustus Walton - Algebra - 1881 - 304 pages
...true. 24. Axioms. 1. If the same quantity or equal quantities be added to equal quantities, the sums will be equal. 2. If the same quantity or equal quantities...will be equal. 3. If equal quantities be multiplied by the same quantity or by equal quantities, the products will be equal. 4. If equal quantities be... | |
 | Webster Wells - Algebra - 1885 - 382 pages
...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,...will be equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quantities,... | |
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Algebraic operations are based upon definitions and the following axioms : — 1. If the same quantity, or equal quantities, be added to equal quantities, the sums will be equal. 2. If the same quantity, or equal quantities, be subtracted from equal quantities,... 
