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" If equal quantities 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. "
The popular educator - Side 355
av Popular educator - 1860
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volum 1

William Nicholson - 1809 - 716 sider
...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...quantity be both multiplied and divided by another, its value will not be altered. AUDITION OF ALGEBRAICAL QUANTITIES. The addition qf algebraical quantities...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1814 - 304 sider
...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...another, the value of the former will not be altered. 7. If to unequal quantities, equals be added, the greater TV ill give the greater sum. 8. If from unequal...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volum 1

William Nicholson - 1819 - 432 sider
...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...quantity be both multiplied and divided by another, its value will not be altered. ADDITION OF AL6EBBA1CA1. UCAJiTITIEs. The addition of algebraical qvantitirs...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 sider
...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...another, the value of the former will not be altered. 7. If to unequal quantities, equals be added, the greater will give the greater sum. 8. If from unequal...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1842 - 350 sider
...altered. 4. If equal quantities be divided by the same or equal quantities, the quotients will be equal. 6. If a quantity be both multiplied and divided by...another, the value of the former will not be altered. 7. If to unequal quantities, equals be added, the greater will give the greater sum. 8. If from unequal...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1842 - 356 sider
...altered. 4. If equal quantities be divided by the same or equal quantities, the quotients will be equal. 6. If a quantity be both multiplied and divided by...another, the value of the former will not be altered. 8. If from unequal quantities, equals be subtracted, the greater will give the greater remainder. 7....
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1844 - 272 sider
...of each of the equations is x, and the second member of each is equal to x. But according to Axiom 7, quantities which are respectively equal to any other quantity, are equal to each other ; therefore, 2-|-y=14 — y, and y=6. By substituting the value of y in the 1st equation, (Art. 159,)...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1844 - 266 sider
...of each of the equations is x, and the second member of each is equal to a;. But according to Axiom 7, quantities which are respectively equal to any other quantity, are equal to eactj other; therefore, • 2-|-y=14—y, and y=6. By substituting the value of y in the 1st equation,...
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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 sider
...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 be altered. (7-) The same powers and roots of equal quantities...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

Horatio Nelson Robinson - 1846 - 276 sider
...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...to any other quantity are equal to each other. 8. Equal roots of equal quantities are equal. 9. Equal powers of the same or equal quantities are equal....
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