 | 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... | |
 | 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... | |
 | 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).... | |
 | 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).... | |
 | 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.)... | |
 | John D. Williams - Algebra - 1840 - 634 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. (17.)... | |
 | Thomas Sherwin - Algebra - 1841 - 314 pages
...equal quantities, the products will be equal. 4. If equal quantities be divided by the same quantity or by equal quantities, the quotients will be equal....from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by another, its value will not be changed.... | |
| |
If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same quantity, or equal quantities, the products will be equal. 
