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" 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. 6. If a quantity be both multiplied... "
The Normal Elementary Algebra: Containing the First Priniples of the Science ... - Page 26
by Edward Brooks - 1888 - 336 pages
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1841 - 314 pages
...equal. 5. If the same quantity be both added to and subtracted 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. 7. Two quantities, each of which is equal to a third, are equal...
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Common School Algebra

Thomas Sherwin - Algebra - 1855 - 262 pages
...equal. 5. If the same quantity be both added to and subtracted 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. 7. Two quantities, each of which is equal to a third, are equal...
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Common School Algebra

Thomas Sherwin - 1862 - 252 pages
...equal. 5. If the same quantity be both added to and subtracted 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. 7. Two quantities, each of which is equal to a third, are equal...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 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 a quantity be both increased and diminished by another, its value will not be changed. 6. If a quantity be both multiplied and divided by another, its value...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 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 a quantity be both increased and diminished by another, its value will not be changed. fii If a quantity be both multiplied and divided by another, its value...
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New Elementary Algebra: In which the First Principles of Analysis are ...

Benjamin Greenleaf - Algebra - 1864 - 336 pages
...equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by another, the value of the former will not be changed. 7. Quantities which are equal to the same quantity...
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An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...definitions and the following axioms : 1- If equals be added to equals, the sums will be equal. 3. // equals be multiplied by equals, the products will...divided by equals, the quotients will be equal. 5. // a quantity be both increased and diminished by another quantity, the value of the former will not...
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The Standard Arithmetic: For Schools of All Grades and for ..., Volume 2

James E. Ryan - Arithmetic - 1877 - 212 pages
...added to equals the sums will be equal. 2. If equals be subtracted from equals the remainders will be equal. 3. If equals be multiplied by equals the products...divided by equals the quotients will be equal. 5. Like powers of equals are equal. 6. Like roots of equals are equal. 7. Quantities equal to the same...
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Complete Arithmetic: Or Third Book of a Series of Mathematics

Andrew H. Baker - Arithmetic - 1878 - 204 pages
...6000 sou's share. СОк. 1. If equals be subtracted from equals, the remainders will be equal. 2. If equals be divided by equals, the quotients will be equal.. 5. A and B hired a pasture for $55 ; A paid 13 dollars more than B. What did each pay ? Let x — what...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 350 pages
...equal. 5. If the same quantity be both added to and subtraded from another, the value of the latter will not be changed. 6. If a quantity be both multiplied and divided by another, the value of the former will not be changed. Define an Axiom. 7. Quantities which are equal...
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