 | Jeremiah Day - Algebra - 1814 - 304 pages
...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 be altered. 7. If to unequal quantities, equals be added, the greater TV ill give the greater sum. 8. If from unequal... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...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 be altered. 7. If to unequal quantities, equals be added, the greater will give the greater sum. 8. If from unequal... | |
 | Jeremiah Day - Algebra - 1842 - 356 pages
...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.... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...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,...to any other quantity, are equal to each other. 8. The whole of a quantity is greater than a part. 9. The whole of a quantity is equal to all its parts.... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...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,)... | |
 | James Bates Thomson - Algebra - 1844 - 266 pages
...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,... | |
 | Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...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,...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.... | |
 | James Bates Thomson - Algebra - 1846 - 276 pages
...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 be altered. QOEST. — What is meant by subtracting a quantity from 0 ? Added to 0 ? What is an axiom ? Name some.... | |
 | Jeremiah Day - Algebra - 1847 - 358 pages
...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... | |
 | Horatio Nelson Robinson - Algebra - 1848 - 354 pages
...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,...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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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. 
