 | William Emerson - Mathematics - 1764 - 582 pages
...equal quantities be added to equal quantities, the fums will be equal. 2. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the produits will be equal. 4. If equal quantities be divided by equal quanties,... | |
 | John Bonnycastle - 1782 - 272 pages
...quantities be added to equal quantities the wholes will be equal. я. If equal quantities be taken from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the produfts will be equal. 4. If equal quantities be divided by equal quantities,... | |
 | Paul Deighan - Arithmetic - 1804 - 504 pages
...equ.il quantities be added to equal quantities, the fums will be equal. 2. If equal quantities be taken from equal quantities the remainders 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,... | |
 | Jeremiah Day - Algebra - 1814 - 304 pages
...reference. 63. 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...will be equal. 3. If equal quantities be multiplied into the same, or equal quantities, tkeproduets will be equal. 4. If equal quantities be divided by... | |
 | William Nicholson - Arts - 1819 - 432 pages
...equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be taken from equal quantities, the remainders 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 divided by the same, or... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...added to equal quantities, their sums will be equal. 2. If the same quantity or equal quantities he subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied into the same, or equal quantities, the products will be equal. 4. If equal quantities be divided by... | |
 | Silas Totten - Algebra - 1836 - 332 pages
...equations : — 1. If equal quantities be added to equal quantities, the suras will be equal. 2. If equal quantities be subtracted from equal quantities,...be equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. lf,equal quantities be divided by equal quantities,... | |
 | Jeremiah Day - Algebra - 1841 - 356 pages
...reference. 63. Axiom 1. If the same quantity or equal quantities be added to equal quantities, their turns will be equal. 2. If the same quantity or equal quantities...will be equal. 3. If equal quantities be multiplied into the same, or equal quantities, the products will be equal. 4. If equal quantities be divided by... | |
 | Jeremiah Day - Algebra - 1842 - 350 pages
...Then y will become known, if it be discovered tc be equal to the sum of a and 6: that is if y=a+b. 2. If the same quantity or equal quantities be subtracted...from equal quantities, the remainders will be equal. 63. Axiom 1. If the same quantity or equal quantities be added to equal quantities, their sums will... | |
 | James Bates Thomson - Algebra - 1844 - 272 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...will be equal. 3. If equal quantities be multiplied into the same, or equal quantities, the products will be equal. 4. If equal quantities be divided by... | |
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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,... 
