 | Euclid - 1789 - 296 sider
...till it meets the other. AXIOMS. 1. Things which are equal to the fame thing are equal to each other, 2. If equals be added to equals the wholes will be...equals be added to unequals the wholes will be unequal. *k ^* B 3 5. If 5. If equals be taken from unequals the remainders will be unequal. • 6. Things which... | |
 | John Bonnycastle - 1803 - 470 sider
...•i • f • 1 AXIOMS. 1 . Things which are equal to the fame thing are equal to each other. I 5. If equals be added to equals the wholes will be equal....If equals be taken from equals the remainders will berequal. 4. If equals be added to unequals the wholes will be unequal. 5. If equals be taken from... | |
 | 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... | |
 | 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, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals,... | |
 | 1854 - 1112 sider
...Witney, Oxon. WS HOETON. LESSONS. GEOMETRY. — Axtomt. 1. Things which are equal to the same thing are equal to 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 - 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,... | |
 | 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, the wholes are equal. 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, the wholes are equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals,... | |
 | John Playfair - 1829 - 210 sider
...THINGS which are equal to the same 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. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals,... | |
 | Timothy Walker - 1829 - 156 sider
...are to a 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 equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals,... | |
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AXIOMS. 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. 3. If equals be taken from equals, the remainders are equal. 
