| Philip Kelland - 1860 - 308 halaman
...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 halaman
...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 halaman
...involving less demand upon conscious attention. However this may be, it is certainly known from actual knowledge of school practice that pupils who have...abstract recognition of them will come in good time. CHAPTEE XL MULTIPLICATION AND DIVISION. Multiplication. — From the preceding discussion (see especially... | |
| Arthur Schultze - 1905 - 482 halaman
...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 halaman
...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 halaman
...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 halaman
...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 halaman
...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 halaman
...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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