| Euclid - Euclid's Elements - 1789 - 296 pages
...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 - Euclid's Elements - 1803 - 470 pages
...•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 pages
...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 pages
...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 pages
...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 - Mathematics - 1825 - 1046 pages
...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 pages
...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 pages
...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 - Geometry - 1829 - 210 pages
...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 - Geometry - 1829 - 156 pages
...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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