 | John Mason Good - 1813 - 714 pages
...If equals be added to unequal», the «holes яге unequal. 5. If equals be taken from unequal«, the remainders are unequal. 6. Things which are double of the same, are equal to one another. 7. Thing-s which are iial-.es of the same, are -equal -to one another, 8.... | |
 | Charles Hutton - Mathematics - 1816 - 610 pages
...remainders are equal . 4. When equals are added to unequals, the wholes arc Unequal. 5. When equals are taken from unequals, the remainders are unequal. 6 Things which are double of the same thing, or equal things, are equal to each other. 7. Things which arc halves of the same thing, afe... | |
 | John Greig - 1816 - 224 pages
...is frequently called a maxim. 2. If equals be added to equals, the whole are equal. 3. If equals are taken from equals, the remainders are equal. 4. If equals be added to unequals, the whole are unequal. 5. If equals be taken from unequals, the remainder are unequal. 6. Things which... | |
 | John Mason Good - 1819 - 800 pages
...that centre. Aihitis. — 1 . Things which are equal to Ihe umc are equal to one another. 2. If equaU be added to equals, the wholes are equal. 3. If equals be taken fi от equals, the remainders are equal. 4. If equals be added to unequal*, the whalM are unequal.... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...remainders are equal. 4. When equals are added to unequala, the wholes are unequal. 5. When equals are taken from unequals ; the remainders are unequal. 6. Things which are double of the same thing, or equal things, are equal to each other. 7. Things which are halves of the same thing, are... | |
 | Charles Hutton - Mathematics - 1825 - 608 pages
...are equal. 4. When equals are added to unequals, the wholes are unequal. 5. When equals are taken (ym unequals : the remainders are unequal. 6. Things which are double of the same thing, or equal things, are equal to each other. 7. Things which are halves of the same thing, are... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...centre, at any distance from that centre. AXIOMS. 1. Thingi which ate equal to the same are equal to one another. 2. If equals be added to equals the wholes are equals 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals,... | |
 | Euclid - 1826 - 234 pages
...Legendre*s Geometry, proposition 1, book i. AXIOMS. 1. Things which are equal to the same are equal to one another. 2. If equals' be added to equals, the...are unequal. 6. Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 8. Things... | |
 | Euclides - 1826 - 226 pages
...the angles are less than two right angles. AXIOMS. 1. Things which are equal to the same are equal to one another. 2. If equals be added to equals, the...the wholes are unequal. 5. If equals be taken from uncquals, the remainders are unequal. 6. Things which are double of the same, are equal to one another.... | |
 | Timothy Walker - Geometry - 1829 - 156 pages
...building. Euclid's axioms are the following : 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to equals the wholes...are unequal. 6. Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 8. Magnitudes... | |
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Things 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 taken from equals, the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals... 
