 | Jeremiah Day - Algebra - 1827 - 352 pages
...added to equal quantities, their sums will be equal. 2. If the same quantity or equal quantities he subtracted from equal quantities, the remainders will...equals, the greater will give the greater product. 10. If unequal quantities be divided by equals, the greater will give the greater quotient. 11. Quantities... | |
 | James Bates Thomson - Algebra - 1844 - 266 pages
...degrees above 0; and 0—6, 6 degrees below 0. AXIOMS. 43. An AXIOM is a self evident proposition. 1. If the same quantity or equal quantities be added...another, the value of the former will not be altered. 7. Quantities which are respectively equal to any other quantity, are equal to each other. 8. The whole... | |
 | James Bates Thomson - Algebra - 1846 - 276 pages
...degrees above 0; and 0—6, 6 degrees below 0. AXIOMS. 43. An AXIOM is a self evident proposition. 1. If the same quantity or equal quantities be added...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.... | |
 | Horatio Nelson Robinson - Algebra - 1846 - 276 pages
...multiplied into the same, or equal quantities, the products will be equal. 5., If the same quantity be bolh added to and subtracted from another, the value of...another, the value of the former will not be altered. 7. Quantities which are respectively equal to any other quantity are equal to each other. 8. Equal roots... | |
 | Jeremiah Day - Algebra - 1847 - 358 pages
...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...equals, the greater will give the greater product. 10. If unequal quantities be divided by equals, the greater will give the greater quotient. 11. Quantities... | |
 | James Bates Thomson - Algebra - 1847 - 266 pages
...the same quantity be both added to and subtracted from another, the value of the latter will not he altered. 6. If a quantity be both multiplied and divided...another, the value of the former will not be altered. QUEST. — What is meant by subtracting a quantity from 0 ? Added to 0 ? What is an axiom 1 Name some.... | |
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...degrees alove 0; and 0—6, 6 degrees below 0. AXIOMS. '-\ 43. An AXIOM is a self evident proposition. 1. If the same quantity or equal quantities be added...another, the value of the former will not be altered. 7. Quantities which are respectively equal to any other quantity, are equal to each other. 8. The whole... | |
 | Horatio Nelson Robinson - Algebra - 1848 - 354 pages
...equal quantities, the products will be equal. 4. If equal quantities be divided by the same, or by equal quantities, the quotients will be equal. 5....another, the value of the former will not be altered. 7. Quantities 'which are respectively equal to any other quantity are equal to each other. 8. Equal roots... | |
 | Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...quantity be both added to and subtracted from another, the value of the latter will not be altered. C. If a quantity be both multiplied and divided by another, the value of the former will not be altered. 7. Quantities which are respectively equal to any other quantity are equal to each other. 8. Like roots... | |
 | Jeremiah Day - Algebra - 1859 - 422 pages
...demonstrations ana tne solutions of problems, they are placed together, for the convenience of reference. 58. Axiom 1. If the same quantity or equal quantities...equals, the greater will give the greater product. 10. If unequal quantities be divided by equals, the greater will give the greater quotient. 11. Quantities... | |
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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 into the same, or equal quantities, the products will be equal. 4. If equal quantities be divided by the same... 
