 Notions 1. Things which are equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. Things which coincide with one another are equal...  The New Advanced Arithmetic - Σελίδα 341των John Williston Cook, Nebraska Cropsey - 1896 - 393 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Isaac Sharpless - 1879 - 282 σελίδες
...which are equal to the same thing are equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be subtracted from unequals, the remainders... | |
 | Fletcher Durell, Edward Rutledge Robbins - 1897 - 482 σελίδες
...other. 2. IJ equals be added to equals, the sums are equal. 3. If equals be subtracted from equate, the remainders are equal. 4. If equals be multiplied...by equals, the products are equal. 5. If equals be di ruled by equals, the quotients are equal. 6. Like poicers or like roots of equals are equal. 7.... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 396 σελίδες
...conclusion and the hypothesis of the other. AXIOMS 1. Things that are equal to the same or equal things are equal to each other. 2. If equals be added to...equals, the remainders are equal. 4. If equals be added to unequals, the sums are unequal. 5. If equals be subtracted from unequaj.s, or unequals from... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 394 σελίδες
...conclusion and the hypothesis of the other. AXIOMS 1. Things that are equal to the same or equal things are equal to each other. 2. If equals be added to...equals, the remainders are equal. 4. If equals be added to unequals, the sums are unequal. 5. If equals be subtracted from unequals, or unequals from... | |
 | Arthur Schultze - 1901 - 260 σελίδες
...conclusion and the hypothesis of the other. AXIOMS 1. Things that are equal to the same or equal things are equal to each other. 2. If equals be added to...equals, the remainders are equal. 4. If equals be added to unequals, the sums are unequal. 5. If equals be subtracted from unequals, or unequals from... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1902 - 394 σελίδες
...hypothesis of the other. AXIOMS 1. Things that are equal to the same or equal things are equal to eaeh other. 2. If equals be added to equals, the sums are...equals, the remainders are equal. 4. If equals be added to unequals, the sums are unequal. r. If equals be subtracted from unequals, or unequals from... | |
 | Fletcher Durell - 1904 - 382 σελίδες
...stated as follows: GENERAL AXIOMS 1. Things which are equal to the same thing, or to equal things, are equal to each other. 2. If equals be added to...subtracted from equals, the remainders are equal. 4. Doubles of equals are equal; or, in general, if equals be multiplied by equals the products are equal.... | |
 | Fletcher Durell - 1904 - 382 σελίδες
...AXIOMS 1. Things which are equal to the same thing, or to equal things, are equal to each other. 2. // equals be added to equals, the sums are equal. 3....subtracted from equals, the remainders are equal. 4. Doubles of equals are equal; or, in general, if equals be multiplied by equals the products are equal.... | |
 | William Frank White - 1908 - 274 σελίδες
...equations with a list of axioms such as the following: 1. Things equal to the same thing or equal things are equal to each other. 2. If equals be added to...equals be divided by equals, the quotients are equal. 6. The whole is greater than any of its parts. 7. Like powers, or like roots, of equals are equal.... | |
 | Euclid - 1908 - 550 σελίδες
...equal to the same thing are also equal to one another. 2. If equals be added to equals, the wholes are equal. 3. If equals be subtracted from equals, the remainders are equal. [7] 4. Things which coincide with one another are equal to one another. [8] 5. The whole is greater... | |
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