 | John Kirkby - Algebra - 1735 - 414 pages
...in the Divifion of 12 by 2. Here 12 is the Dividend, 2 the Divifor, and 6 the Retient. AXIOM XX. 77. If equal Quantities be divided by equal Quantities, the Quotients will be equal. 4-t HYPOTHESIS VIII. 78. The Sign of Divißon is -7- ie By. Ex. g r. 6 -•- 3 denotes that б is to... | |
 | John Ward (of Chester.) - Mathematics - 1747 - 516 pages
...remaining will be equal. 3. If equal Quantities be multiplied with equal Quantities, their Produéfe will be equal. 4. If equal Quantities be divided by equal Quantities, ti.ei: Quotients will be equal. 5. Thofe Quantities, that are equal to one and the (âme Thing, are... | |
 | Daniel Fenning - Algebra - 1751 - 272 pages
...Side by any Quantity or Number, as 12, then will 12 xz: 96. This is plain from the next Axiom. AXIOM 4. If equal Quantities be divided by equal Quantities, the Quotients will be equal. Suppofe i2x — 96, then dividing by 12, *• will be equal to 8, as per Axiom 3. AXIOM 5. Thofe Numbers... | |
 | 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... | |
 | 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 refpeftively equal to... | |
 | William Nicholson - Navigation - 1784 - 462 pages
...equal. III. If equal quantities be multiplied by equal quantities, the produces will be equal. IV. If equal quantities be divided by equal quantities, the quotients will be equal, V. Things V. Things equal to one and the fame thing, are equal to each other. THEOREM I. In any feries... | |
 | Nicolas Vilant - Algebra - 1798 - 196 pages
...AXIOM IX. If equal quantities be multiplied by equal quantities, the produfls will be equal, AXIOM X. If equal quantities be divided by equal quantities, the quotients will be equal. - ' t AXIOM XI. If equal quantities be equally involved or evolved» the powers or roots. vvilUb'e... | |
 | Thomas Hodson - Education - 1802 - 556 pages
...be equal. a. If equal quantities be multiplied by equal quantities, the produces will be equal. And if equal quantities be divided by eq~ual quantities, the quotients will be- equal. 3. If equal quantities be raifed to equal powers, the produfts willfte equal. 4. Qiiamtities equal... | |
 | Daniel Fenning - Algebra - 1802 - 274 pages
...quantity or number, as 12, then will 12 x = 96. This is plain from the ne\t Axiom. F AXIOM a AXIOM 4. I If equal quantities be divided by equal quantities, the quotients will be equal. Suppofe 12 .r = 96, then divid, ing by 12, x will be equal to 8, as per Axiom 3. AXIOM 5. Thofe numbers... | |
 | Paul Deighan - Arithmetic - 1804 - 504 pages
...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 or from equal quantities, unequal... | |
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... 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 will be equal.... 
