| William Nicholson - Natural history - 1809 - 716 pages
...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 - 304 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 - Arts - 1819 - 432 pages
...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 - 352 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 - 898 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 - 1110 pages
...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 - 550 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 - 404 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, Robert Adrain - Algebra - 1824 - 542 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 - 352 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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