| Philip Ronayne - Algebra - 1717 - 478 pages
...will be equal. So if 4 be := b, and с =. d, then ae will be = bd, or ad— be, by the third Axiom. 4. If equal Quantities be Divided by equal Quantities, their Quotients will be equal. Example, If a be = bt and с = d, then — (or я -fc) will be = -- (or b 4 dj) or -Í- = — , by... | |
| Philip Ronayne - Algebra - 1738 - 458 pages
...Quantities remaining will be equal. 3. If equal Quantities be Multiplyed by equal Quantities, the Produfls will be equal. 4. If equal Quantities be Divided by equal Quantities, the Quotients will be equal. 5. Thofe Quantities that are equal to one and the fame thing, are equal... | |
| Nathaniel Hammond - Algebra - 1742 - 362 pages
...multiplied with equal Quantities, their Produces will be equal. 4 XI QM -.: • ' '' А X 1 О М. 4. If equal Quantities be divided by equal Quantities, their Quotients will be equal. AXIOM 5. If there are feveral Quantities that are equal to one and the fame thing, thofe Quantities... | |
| Industrial arts - 1763 - 1246 pages
...quantities remaining will be equal, j. If equal quantities be multiplied by equal quantities, their producls will be equal. 4. If equal quantities be divided by...equal quantities, their quotients will be equal, 5. Quantities that are equal to one and the fame thing, are alfb equal to one another. If thele axioms... | |
| William Emerson - Algebra - 1780 - 574 pages
...quantities, the remainders will &e equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quanties, the quotients will be equal. -' 5. The equal powers or roots of equal quantities^ are equal.... | |
| John Bonnycastle - Algebra - 1782 - 226 pages
...quantities, the remainders will be equal. 3.- -If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. 5. The equal powers or roots of equal quantities are equal. 6. Two quantities... | |
| John Bonnycastle - 1782 - 272 pages
...the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the produfts will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. 5 . The equal powers or roots of equal quantities are equal. 6. Two quantities... | |
| Paul Deighan - Arithmetic - 1804 - 504 pages
...quantities the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. ' 5. The equal powers or roots of equal quantities, are equal. 6. If to... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...subtracted from equal quantities, their remainders will be equal. 3. If equal quantities be multiplied by equal quantities, their products will be equal. 4....by equal quantities, their quotients will be equal. (61.) RULE I. Any quantity may lie lianfferred from one xitje of tie equation to the other, in/ changing... | |
| Peter Nicholson - Algebra - 1831 - 326 pages
...each side of the equation by 3 ; 9+6=15; ie 15=15. Or, if a=6; andc=rf; then will ac=bd ; or orf=6c. W If equal quantities be divided by equal quantities, their quotients will be equal. Ex. 4 + 2=6, dividing each side of the equation by 2 ; 2+1=3; ie 3=3. Or, if a=b ; and c=d; , .„... | |
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