 | 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.... | |
 | Euclid - 1822 - 222 pages
...distance from that centre. M o Axioms. 1. Things which are equal to the same are equal to one another. 2. If equals be added to equals, the wholes are equal....equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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...equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequal s, the remainders are unequal. 6. Things which are double of the... | |
 | Euclides - 1826 - 226 pages
...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 wholes are equal....equals be added to unequals, the wholes are unequal. 5. If equals be taken from uncquals, the remainders are unequal. 6. Things which are double of the... | |
 | Euclid - 1826 - 234 pages
...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 wholes are equal....equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the... | |
 | Timothy Walker - Geometry - 1829 - 156 pages
...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 equal....equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the... | |
 | John Playfair - Geometry - 1829 - 210 pages
...thing are equal to one another. Also things which are equal to equal things are equal to one another. 2. If equals be added to equals, the wholes are equal....equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are doubles of the... | |
 | Timothy Walker - Geometry - 1829 - 138 pages
...Euclid's axioms are the following : I. Things which are equal to the same are equal to one another. 2k If equals be added to equals the wholes are equal....equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...which are equal to the same, are equal to one another. 2. If equals be added to equals, the wholes arc equal. 3. If equals be taken from equals, the remainders are equal. 4. The doubles of equals are equal. 5. The halves of equals are equal. C. The greater of two 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... 
