| Natural history - 1809
...be divided by the same, or equal quantities, the quotients will be equal. 5. If the same quantity be **added to and subtracted from another, the value of the latter will not be** altered. 6. If a quantity be both multiplied and divided by another, its value will not be altered.... | |
| Jeremiah Day - Algebra - 1814 - 303 pages
...equal. 4. If equal quantities be divided by the same or equal quantities, the quotienti will be equal. E **5. If the same quantity be both added to and subtracted...from another, the value of the latter will not be** altered. 6.. If a quantity be both multiplied and divided by another, the value of the former will... | |
| William Nicholson - Natural history - 1819
...be divided by the same, or equal quantities, the quotients will be equal. 5. If the same quantity be **added to and subtracted from another, the value of the latter will not be** altered. 6. If a quantity be both multiplied and divided by another, its value will not be altered.... | |
| Jeremiah Day - Algebra - 1820 - 332 pages
...quantities, the products will be equal. 4. If equal quantities be divided by the same or equal quantities, **the quotients will be equal. 5. If the, same quantity...from another, the value of the latter will not be** altered, 6. If a quantity be both multiplied and divided by another, the value of the former will not... | |
| Miles Bland - Geometry - 1821 - 438 pages
...divided by the same or equal quantities, the quotients will be equal. (15.) If the same quantity be **added to and subtracted from another, the value of the latter will not be** altered. (16.) If a quantity be both multiplied and divided by another, its value will not be altered.... | |
| 1854
...quantities be divided by the same or equal quantities, the quotients will be equal. If the same quantity be **added to and subtracted from another, the value of the latter will not be** altered. If a quantity be both multiplied and divided by another, its value will not be altered. These... | |
| James Ryan - Algebra - 1824 - 516 pages
...h; been deduced from Art. (48) ; but they are easily admitted as axioms. 52. If the same quantity be **added to and subtracted from another, the value of the latter will not be** altered. Thus, if a=c, then «4-6=c+6, and « + 6 — 6=c+6 — 6, or a=c. This might be infered from... | |
| Miles Bland - Algebra - 1824 - 383 pages
...divided by the same or equal quantities, the quotients will be equal. (15.) If the same quantity be **added to and subtracted from another, the value of the latter will not be** altered. (16.) If a quantity be both multiplied and divided by another, its value will not be altered.... | |
| James Ryan - Algebra - 1824 - 516 pages
...been deduced from Art. (48) ; but they are all easily admitted as axioms. 52. If the same quantity be **added to and subtracted from another, the value of the latter will not be** altered. Thus, if a=c, then a+b=-c+bf and «+6 — 6=c+6 — 6, or a=c. This might be infered from... | |
| Jeremiah Day - Algebra - 1827 - 332 pages
...quantities, the products will be equal. 4. If equal quantities be divided by the same or equal quantities, **the quotients will be equal. 5. If the same quantity...from another, the value of the latter will not be** altered. 6. If a quantity be both multiplied and divided by another, the value of the former will not... | |
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