 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...  Elements of Plane Geometry According to Euclid - Strona 1autor: Andrew Bell - 1837 - Liczba stron: 240Pełny widok - Informacje o książce
 | John Mason Good - 1813 - Liczba stron: 714
...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... | |
 | Charles Hutton - 1816 - Liczba stron: 610
...remainders are equal . 4. When equals are added to unequals, the wholes arc Unequal. 5. When equals are taken from unequals, the remainders are unequal. 6 Things which are double of the same thing, or equal things, are equal to each other. 7. Things which arc halves of the same thing, afe... | |
 | John Greig - 1816 - Liczba stron: 224
...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 - Liczba stron: 800
...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 - Liczba stron: 222
...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,...are unequal. 6. Things which are double of the same or of equals, are equal to one another. 7. Things which are halves of the same or of equals, are equal... | |
 | Charles Hutton - 1822 - Liczba stron: 616
...remainders are equal. 4. When equals are added to unequala, the wholes are unequal. 5. When equals are taken from unequals ; the remainders are unequal. 6. Things which are double of the same thing, or equal things, are equal to each other. 7. Things which are halves of the same thing, are... | |
 | 1854 - Liczba stron: 1112
...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 - 1823 - Liczba stron: 210
...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 - Liczba stron: 1046
...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,... | |
 | Charles Hutton - 1825 - Liczba stron: 608
...are equal. 4. When equals are added to unequals, the wholes are unequal. 5. When equals are taken (ym unequals : the remainders are unequal. 6. Things which are double of the same thing, or equal things, are equal to each other. 7. Things which are halves of the same thing, are... | |
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