 | James Hamblin Smith - 1869 - 412 pages
...quantities be added to equal quantities, the sums will be equal. Thus, if a = 6, a + с = b + с. Ax. II. If equal quantities be taken from equal quantities, the remainders will be equal. Thus, if x = y, xz = yz. Ax. III. If equal quantities be multiplied by equal quantities, the products... | |
 | James Hamblin Smith - Algebra - 1870 - 478 pages
...equal quantities be added to equal quantities, the sums will be equal. Thus, if a =b, a+c=b+c. Ax. II. If equal quantities be taken from equal quantities, the remainders will be equal. Thus, if ®=V, xz=yz. Ax. III. If equal quantities be multiplied by equal quantities, the products... | |
 | Popular educator - 1872 - 842 pages
...equal quantities, their sums will be equal. 2. If the same quantity or equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied into the same, or equal quantities, the product* will be equal. 4. If equal quantities be divided by... | |
 | Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...equal quantities, their sums will be equal. 2. If the same quantity or equal quantities be subtracted 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 dirided by the... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 462 pages
...equal quantities, the sums will be equal. 2. If the same quantity or equal quantities be subtracted from equal quantities, the remainders 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
...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 equal |uantities, the products will be equal. 4. If equal quantities be divided by the... | |
 | Henry C. Pedder - Religion and science - 1876 - 104 pages
...an effect implies a cause ; that a straight line is the shortest line between two points ; and that if equal quantities be taken from equal quantities, the remainders will be equal. Truths of this class are obviously independent of our reasoning powers. They are, it is true, dependent... | |
 | Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...equal quantities, their sums will be equal. 2. If the same quantity or equal quantities be subtracted from equal quantities, the remainders 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 the... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...equal quantities, the sums will be equal. 2. If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders 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 divided... | |
 | Benjamin Greenleaf - Algebra - 1879 - 376 pages
...equal quantities, the sums will be equal. 2. If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders 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... | |
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If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders 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... 
