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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. "
Algebra for Secondary Schools - Page 18
by Webster Wells - 1906 - 513 pages
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1814 - 304 pages
...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...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 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...
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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...
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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...
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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,...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 426 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,...
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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,...
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A Theoretical and Practical Treatise on Algebra ...

Horatio Nelson Robinson - Algebra - 1848 - 354 pages
...be divided by the same, 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 altered. 6. If a quantity be both multiplied and divided by another, the value of the former...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 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...
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Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1848 - 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. QUEST.— 17. What is a lemma 7 18. What is a corollary 7 19. What Is a scholium...
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