 | Philip Kelland - 1860 - 308 páginas
...shall be given in Art. 91. 90. The following are the AXIOMS on which all our processes are based : 1. If equals be added to equals, the wholes are equal....subtracted from equals, the remainders are equal. 3. If equals be multiplied or divided by equals, the products or quotients are equal 4. Like powers of... | |
 | William Steadman Aldis - 1887 - 616 páginas
...these algebraical relations may be added the four following axioms or general principles of operation. (1) If equals be added to equals the wholes are equal....subtracted from equals, the remainders are equal. (3) If equals be multiplied by equals the products are equal. (4) If equals be divided by equals the quotients... | |
 | James Alexander McLellan, John Dewey - 1895 - 348 páginas
...11, 14, 16 and three, 19 ; this makes up the 19 (thousand) of the minuend, and the whole "making-up" number, or remainder, is $3784, the amount of money...abstract recognition of them will come in good time. CHAPTEE XL MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially... | |
 | James Alexander McLellan, John Dewey - 1895 - 356 páginas
...inferred that if there is any difference in difficulty between the making-up method and the taking-away method, the difference is in favour of the making-up...abstract recognition of them will come in good time. CHAPTEK XL MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially... | |
 | Arthur Schultze - 1905 - 482 páginas
...equations depends upon the following principles, called axioms: 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are equal. 3. If equals be multiplied by equals, the products are equal 4. If equals be divided by equals, the quotients... | |
 | Arthur Schultze - 1905 - 468 páginas
...equations depends upon the following principles, called axioms : 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are eqifal. 3. If equals be multiplied by equals, the products are equal. 4. If equals be divided by equals,... | |
 | Arthur Schultze - 1906 - 584 páginas
...equations depends upon the following principles, called axioms : 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are equal. 3. If equals be multiplied by equals, the products are equal. 4. If equals be divided by equals, the quotients... | |
 | Arthur Schultze - 1906 - 618 páginas
...equations depends upon the following principles, called axioms: 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are equal. 3. If equals be multiplied by equals, the products are equal 4. If equals be divided by equals, the quotients... | |
 | Arthur Schultze - 1918 - 336 páginas
...equations depends upon the following principles, called axioms : 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are equal. 3. If equals be multiftlied by equals, the products are equal. 4. If equals be divided by equals, the... | |
 | Edward Herbert Cameron - 1927 - 490 páginas
...studied. These general principles are the same as those sometimes given as postulates in geometry, viz.: (1) If equals be added to equals the wholes are equal....subtracted from equals the remainders are equal. (3) If equals are multiplied by equals the products are equals. (4) If equals are divided by equals the... | |
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The process of solving equations depends upon the following principles, called axioms : 1. If equals be added to equals, the sums are equal. 2. If equals be subtracted from equals, the remainders are equal. 3. If equals be multiplied by equals, the products... 