 | Philip Ronayne - 1717 - 478 σελίδες
...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 - 1738 - 458 σελίδες
...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 - 1742 - 362 σελίδες
...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... | |
 | 1763 - 1246 σελίδες
...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 - 1780 - 574 σελίδες
...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 - 1782 - 226 σελίδες
...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 σελίδες
...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 - 1804 - 504 σελίδες
...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 - 1825 - 1046 σελίδες
...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 - 1831 - 326 σελίδες
...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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... axioms : 1. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products... 
