 | William Nicholson - 1809 - 716 σελίδες
...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 - 1814 - 304 σελίδες
...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 - 1819 - 432 σελίδες
...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 - 1820 - 352 σελίδες
...same, or equal quantities, the products will be equal. 4. If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5....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 - 1821 - 898 σελίδες
...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 - 1112 σελίδες
...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 - 1824 - 550 σελίδες
...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... | |
 | James Ryan, Robert Adrain - 1824 - 542 σελίδες
...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... | |
 | Miles Bland - 1824 - 404 σελίδες
...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.... | |
 | Jeremiah Day - 1827 - 352 σελίδες
...same, or equal quantities, the products will be equal. 4. If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5....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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If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be altered. 
