 | John Mason Good - 1813 - 714 sider
...any centre, at any distance irom that centre. jtiiams.—l. Things which are equal to the same ore equal to one another. 2. If equals be added to equals, the whiles ari equal. 3. \f equals be taken from equals, «le remainders aro equal. 4. If equals be added... | |
 | John Greig - 1816 - 224 sider
...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 sider
...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 sider
...centre, /&, ff, at any 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 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... | |
 | 1854 - 1112 sider
...never fatigue, And pleasures that never decay. Witney, Oxon. WS HOETON. LESSONS. GEOMETRY. — Axtomt. 1. Things which are equal to the same thing are equal...one another. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. This might be... | |
 | Peter Nicholson - 1823 - 210 sider
...the course of a demonstration. 46. AXIOMS. 1. Things which are equal to the same thing, or things, are equal to one another. 2. If equals be added to equals, the wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added... | |
 | Peter Nicholson - 1825 - 1046 sider
...described from any 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,... | |
 | Euclides - 1826 - 226 sider
...side where 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 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 sider
...this, see 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 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 - 156 sider
...axioms, and are to geometry, what the foundations are to a building. Euclid's axioms are the following : 1. Things which are equal to the same thing 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... | |
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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... 
