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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. "
A Complete Course in Algebra for Academies and High Schools - Page 1
by Webster Wells - 1885 - 349 pages
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

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....
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - Algebra - 1841 - 314 pages
...divided by the same quantity 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 changed. 6. If a quantity be both multiplied and divided by another, its value will not be changed. 7. Two quantities,...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...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. 6. If a quantity be both multiplied and divided by another, the value of the former will not...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...equal. 6. If equal numbers be divided by equals, the quotients will be equal. 7. If the same quantity be added to and subtracted from another, the value of the latter will not be altered. 8. If a quantity be multiplied and divided by a number, its value will not be altered. 9....
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...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 the same quantity, its value will not...
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Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 362 pages
...are divided by the same or equal quantities, the quotients will be equal. 8. If the same quantity is both added to and subtracted from another, the value of the latter will not be altered. 9. If a quantity is both multiplied and divided by the same or an equal quantity, its value...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...multiplied into the same, or equal quantities, the products will be equal. 5., If the same quantity be bolh 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 not...
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Elements of Algebra: Embracing Also the Theory and Application of Logarithms ...

Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...equal. 6. If equal numbers be divided by equals, the quotients will be equal. 7. If the same quantity be added to and subtracted from another, the value of the latter will not be altered. 8. If a quantity be multiplied and divided by a number, its value will not be altered. 10....
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1847 - 266 pages
...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 he altered. 6. If a quantity be both multiplied and divided by another, the value of the former will...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 434 pages
...are divided by the same or equal quantities, the quotients will be equal. 8. If the same quantity is both added to and subtracted from another, the value of the latter will not be altered. 9. If a quantity is both multiplied and divided by the same or an equal quantity, its value...
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