| John Mason Good - 1813
...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
...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 páginas
...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
...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 - 596 páginas
...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 - 372 páginas
...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
...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 - 180 páginas
...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 - 129 páginas
...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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