 | Elias Loomis - 1857 - 242 pàgines
...equal to each other. 2. If equals are added to equals, the wholes are equal. 3. If equals are taken from equals, the remainders are equal. 4. If equals are added to unequals, the wholes are unequal. 5. If equals are taken from unequals, the remainders are unequal. 6. Things which... | |
 | Elias Loomis - 1858 - 256 pàgines
...equal to each other. 2. If equals are added to equals, the wholes arje equal. 3. If equals are taken from equals, the remainders are equal. 4. If equals are added to unequals, the wholes are unequal. 5. If equals are taken from unequals, the remainders are unequal. 6. Things which... | |
 | Elias Loomis - 1871 - 302 pàgines
...equal to each other. 2. If equals are added to equals, the wholes are equal. 3. If equals are taken from equals, the remainders are equal. 4. If equals are added to unequals, the wholes are unequal. 5. If equals are taken from unequals, the remainders are unequal. 6. Things which... | |
 | William Guy Peck - 1876 - 376 pàgines
...The following are some of the most important axioms and postulates. Axioms. 1°. Things equal to the same thing are equal to each other. 2°. If equals...equals, the remainders are equal. 4°. If equals are multiplied by equals, the products are equal. 5°. If equals are divided by equals, the quotients are... | |
 | James Bates Thomson - 1878 - 322 pàgines
...2 = what ? 15. 26 -r- (x — b) + axbxy + zz = what ? AXIOMS. 59. An Axiom is a self-evident truth. 1. Things which are equal to the same thing, are equal...equals, the remainders are equal. 4. If equals are multiplied by equals, the products are equal. 5. If equals are divided by equals, the quotients are... | |
 | Franklin Ibach - 1882 - 208 pàgines
...in a proposition or in a demonstration. 38. A Scholium is a comment on one or more propositions. 39. AXIOMS. 1. Things which are equal to the same thing...are equal. 8. The whole is greater than any of its parts. 10. Only one straight line can join two points. 11. A straight line is the shortest distance... | |
 | George Albert Wentworth - 1888 - 264 pàgines
...are equal to each other. 2. If equals are added to equals the sums are equal. 3. If equals are taken from equals the remainders are equal. 4. If equals are added to unequals the sums are unequal, arid the greater sura is obtained from the greater magnitude. 5. If equals are taken from unequals... | |
 | David Martin Sensenig - 1890 - 556 pàgines
...truth. 60. The following are the principal axioms relating to numbers : 1. Things that are equal to the same thing are equal to each other. 2. If equals are...equals the remainders are equal. 4. If equals are multiplied by equals the products are equal. 5. If equals are divided by equals the quotients are equal.... | |
 | William James Milne - 1894 - 214 pàgines
...truth that does not need demonstration is called an Axiom. AXIOMS. 1. Things that are equal to the same thing are equal to each other. 2. If equals are...equals, the remainders are equal. 4. If equals are multiplied by equals, the products are equal. 5. If equals are divided by equals, the quotients are... | |
 | William James Milne - 1894 - 212 pàgines
...truth that does not need demonstration is called an Axiom. AXIOMS. 1. Things that are equal to the same thing are equal to each other. 2. If equals are...equals, the remainders are equal. 4. If equals are multiplied by equals, the products are equal. 5. If equals are divided by equals, the quotients are... | |
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Things which are equal to the same thing, are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal. 
