| John Greig - 1816
...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
...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 - 179 sider
...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 - 1825 - 372 sider
...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
...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 - 180 sider
...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 - 1829 - 129 sider
...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 - 1829 - 186 sider
...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 - 1829 - 129 sider
...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 - 1830 - 272 sider
...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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