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 - Page 1by Andrew Bell - 1837 - 240 pagesFull view - About this book
| 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... | |
| Charles Hutton - Mathematics - 1816
...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
...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 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,...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 - Mathematics - 1822
...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
...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 - Architecture - 1823 - 596 pages
...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 - 372 pages
...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 - Mathematics - 1825
...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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