 | 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...quantity be both multiplied and divided by another, its value will not be altered. AUDITION OF ALGEBRAICAL QUANTITIES. The addition qf algebraical quantities... | |
 | Jeremiah Day - Algebra - 1814 - 304 pages
...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...another, the value of the former will not be altered. 7. If to unequal quantities, equals be added, the greater TV ill give the greater sum. 8. If from unequal... | |
 | 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...quantity be both multiplied and divided by another, its value will not be altered. ADDITION OF AL6EBBA1CA1. UCAJiTITIEs. The addition of algebraical qvantitirs... | |
 | 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. (17.)... | |
 | 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 are identical... | |
 | 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. (17.)... | |
 | 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 Art. (48).... | |
 | 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 Art. (48).... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...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...another, the value of the former will not be altered. 7. If to unequal quantities, equals be added, the greater will give the greater sum. 8. If from unequal... | |
 | John D. Williams - Algebra - 1840 - 216 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. (17.)... | |
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If equal quantities be divided by the same, or by 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. 
