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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. "
An Elementary Treatise on Algebra: For the Use of Students in High Schools ... - Página 3
por Thomas Sherwin - 1841 - 300 páginas
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volumen1

William Nicholson - 1809 - 716 páginas
...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....
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 304 páginas
...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...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volumen1

William Nicholson - 1819 - 432 páginas
...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....
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 352 páginas
...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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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1821 - 898 páginas
...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....
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The Youth's instructer [sic] and guardian, Volumen14

1854 - 1110 páginas
...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...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 páginas
...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...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - 1824 - 404 páginas
...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....
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 páginas
...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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 páginas
...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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