| 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... | |
| John Mason Good - 1819 - 800 pages
...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.... | |
| 1854 - 1112 pages
...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 - Architecture - 1823 - 210 pages
...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 - 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,... | |
| Thomas Curtis - Aeronautics - 1829 - 814 pages
...word line occurs, without the addition of either straight or curved, a straight line is always meant. **AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2.** When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...sections, and are therefore here premised : — • AXIOMS.* • 1. Things, 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... | |
| Timothy Walker - Geometry - 1831 - 166 pages
...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 to one another. 2. If** equal sbe added to equals, the wholes are equal. 3. If equals be taken from equals, the remainders... | |
| Mathematics - 1835 - 684 pages
...following sections, and are therefore here premised : — AXIOMS.* 1. Things, which are equal to the same, **are equal to one another. 2. If equals be added to...be taken from equals, the remainders are equal. 4.** The doubles of equals are equal. 5. The halves of equals are equal. 6. The greater of two magnitudes,... | |
| Mathematics - 1836 - 488 pages
...lines, are such as are in the same plane, and which being produced ever so far both ways, do not meet. **1. Things which are equal to the same thing are equal...another. 2. If equals be added to equals, the wholes** ere equal. 3. If equals be taken from equals, the remainders are equal. 4. If equals be added to unequals,... | |
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