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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 Short Course in Higher Algebra: For Academies, High Schools, and Colleges - Page 5
by Webster Wells - 1889 - 426 pages
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Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1858 - 400 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 bo altered. i). If a quantity is both multiplied and divided by the same or an equal quantity, its...
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Higher Arithmetic : Or, The Science and Application of Numbers: Combining ...

James Bates Thomson - Arithmetic - 1860 - 440 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. INTRODUCTION. 17 9. If a quantity is both multiplied and divided by the same or an equal quantity,...
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Algebra

Isaac Todhunter - 1860 - 620 pages
...divided by the same or equal quantities, the quotients will be equal. 102. If the same quantity be added to and subtracted from another, the value of the latter will not be altered. 103. If a quantity be both multiplied and divided by another, its value will not be altered....
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Common School Algebra

Thomas Sherwin - 1862 - 252 pages
...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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New Elementary Algebra: In which the First Principles of Analysis are ...

Benjamin Greenleaf - Algebra - 1864 - 336 pages
...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 and divided by another, the value of the former will not be changed....
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New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - Algebra - 1864 - 420 pages
...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 and divided by another, the value of the former will not be changed....
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The Analysis of Written Arithmetic: Book Second, Designed for Public and ...

Stoddard A. Felter - Arithmetic - 1864 - 412 pages
...equal. (g.) If equal numbers be divided by the same or equal numbers, the quotients will be equal. (h.) If the same number be both added to, and subtracted from another number, the value of the latter number will not be changed. (i.) If a number be both midtiplied and...
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New Elementary Algebra: Containing the Rudiments of Science for Schools and ...

Horatio Nelson Robinson - Algebra - 1866 - 328 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 will not...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 580 pages
...divided by the same or equal quantities, the quotients will be equal. 102. If the same quantity be added to and subtracted from another, the value of the latter will not be altered. 103. If a quantity be both multiplied and divided by another, its value will not be altered....
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New Elementary Algebra: Containing the Rudiments of the Science for Schools ...

Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...be dirided 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 will not...
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