 If equal quantities be divided by the same quantity, 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 changed.  A Complete Course in Algebra - Page 5by Webster Wells - 1885Full view - About this book
 | 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
...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 - 440 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.... | |
 | 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 - 1112 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 - 548 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... | |
 | 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... | |
 | Miles Bland - Algebra - 1824 - 408 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.... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...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. 6. If a quantity be both multiplied and divided by another, the value of the former will not... | |
 | John D. Williams - Algebra - 1840 - 636 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 wilj not be altered.... | |
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