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Books Books 1 - 10 of 61 on If equal quantities be divided by the same quantity, or equal quantities, the quotients....  
" 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 Algebra: For High Schools, Academies and Normal Schools - Page 26
by George Washington Hull - 1895 - 344 pages
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

William Nicholson - Science - 1809
...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 - Algebra - 1814 - 303 pages
...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 ..., Volume 1

William Nicholson - Natural history - 1819
...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 - Algebra - 1820 - 332 pages
...quantities, the products will be equal. 4. If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5. If the, same quantity...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 - Geometry - 1821 - 438 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....
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The Youth's instructer [sic] and guardian

1854
...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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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 383 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....
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An elementary treatise on algebra: theoretical and practical

James Ryan, Robert Adrain - Algebra - 1824 - 516 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...
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An introduction to algebra: being the first part of a Course of mathematics ...

Jeremiah Day - Algebra - 1827 - 332 pages
...quantities, the products will be equal. 4. If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5. If the same quantity...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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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 605 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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