 | Daniel Fenning - 1802 - 274 Seiten
...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... | |
 | Peter Nicholson - 1831 - 326 Seiten
...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 - 1836 - 360 Seiten
...quantities be added to equal quantities, the sums will be equal. 2. Jf equal quantities be subtracted from equal quantities, the remainders will be equal....by equal quantities, the quotients will be equal. In an equation, the unknown quantity may be connected with known quantities, by addition, by subtraction,... | |
 | John Fair Stoddard, William Downs Henkle - 1859 - 538 Seiten
...be equal. 4. If equal quantities be multiplied by equal quantities, the products will be equal. 5< If equal quantities be divided by equal quantities, the quotients will be equal. 6. If unequal quantities be added to equal quantities, the sums will be unequal. 7. If unequal quantities... | |
 | James Hamblin Smith - 1869 - 412 Seiten
...quantities be multiplied by equal quantities, the products will be equal. Thus, if a = b, ma = mb. Ax. IV. If equal quantities be divided by equal quantities, the quotients will be equal. Thus, if xy = xz, 243. On Axioms I. and II. is founded a process of great utility in the solution of... | |
 | James Hamblin Smith - 1870 - 478 Seiten
...quantities be multiplied by equal quantities, the products will be equal. Thus, if a=6, ma = nib. Ax. IV. If equal quantities be divided by equal quantities, the quotients will be equal. Thus, if xy=xz, 113. On Axioms I. and II. is founded a process of great utility in the solution of... | |
 | James Hamblin Smith - 1883 - 466 Seiten
...quantities be multiplied by equal quantities, the products will be equal. Thus, if a = b, ma = mb. Ax. IV. If equal quantities be divided by equal quantities, the quotients will be equal. Thus, if xy = xz, y=z. 113. On Axioms I. and II. is founded a process of great utility in the solution... | |
 | Webster Wells - 1885 - 368 Seiten
...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....equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not... | |
 | Webster Wells - 1885 - 370 Seiten
...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....equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not... | |
 | Webster Wells - 1885 - 372 Seiten
...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....equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not... | |
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Algebraic operations are based upon definitions, and the following 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... 
