 | Jeremiah Day - Algebra - 1842 - 350 pages
...will be equal. 3. If equal quantities be multiplied into the same, or equal quantities, the products will be equal. 5. If the same quantity be both added...another, the value of the latter will not be altered. 4. If equal quantities be divided by the same or equal quantities, the quotients will be equal. 6.... | |
 | 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. If equal... | |
 | 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...(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... | |
 | 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 will not... | |
 | 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. If corresponding... | |
 | James Bates Thomson - Algebra - 1847 - 266 pages
...same, or equal quantities, the products will be equal. 4. If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5....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... | |
 | 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 will not... | |
 | 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, its value will not... | |
 | 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 1 30. What Is an hypothesis... | |
 | Jeremiah Day - Algebra - 1848 - 356 pages
...subtracted from equal quantities, the remainders will be equal. 5. If the same quantity be both lidded to and subtracted from another, the value of the latter will not be altered. 4. If equal quantities be divided by the same or equal quantities, the quotients will be equal. 6.... | |
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If the same quantity, or equal quantities, be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by the same quantity, or equal quantities, the products will be equal. 
