 | 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... | |
 | Philip Ronayne - Algebra - 1738 - 458 pages
...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 to one another. 6. Every Whole... | |
 | Daniel Fenning - Algebra - 1751 - 272 pages
...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 or... | |
 | John Bonnycastle - Algebra - 1782 - 226 pages
...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 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... | |
 | Paul Deighan - Arithmetic - 1804 - 504 pages
...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... | |
 | Peter Nicholson - Algebra - 1831 - 326 pages
...12 + 8=20 ; if we multiply the right hand side by 3, we have 5/3=15, which is 5 less than 20. ('*) If equal quantities be divided by equal quantities, the quotients will be equal. Ex. 0) 4+2=6. Dividing by 2 ; 2+1 = 3. Ex. W If 4,r=8 ; Dividing by 4; a1 =2. Proof, 4.r=4X2=8. (13)... | |
 | Silas Totten - Algebra - 1836 - 320 pages
...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. In an equation, the unknown quantity may be connected with known quantities, by addition, by subtraction,... | |
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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. 4. If equal quantities be divided by equal quantities, the quotients will be equal.... 
