 | Euclides - 1862 - 140 pages
...may be produced to any length in a straight line. AXIOMS. 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... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals,...will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be taken from unequals, the remainders will be unequal. 6. Things... | |
 | Adrien Marie Legendre - Geometry - 1863 - 464 pages
...to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be subtracted from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be subtracted from unequals, the remainders will be unequal. 6.... | |
 | Euclides - 1865 - 80 pages
...equal to any given straight line. AXIOMS. 1. Things which are equal to the same thing, or 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,... | |
 | Edward Clarke Lowe - 1866 - 172 pages
...from any centre, at any distance from that centre. AXIOMS. 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,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...from any centre, at any distance from that centre. AXIOMS. 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... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals,...will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be taken from unequals, the remainders will be unequal. 6. Things... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...CLASS. 1. Things which are equal to the same thing are equal to each other. 3. If equals be subtracted from equals, the remainders will be equal. 4. If equals be added to or subtracted from unequals, the results will be unequal. 5. If equals be multiplied by equals, the... | |
 | Euclid - Geometry - 1872 - 284 pages
...from any centre, with any radius. COMMON NOTIONS, OR AXIOMS. 1 . Things which are equal to the same are equal to one another. 2. If equals be added to equals, the wholes will be equal. 4. If to unequals, equals be added, the wholes are unequal. 5. If from unequals, equals he taken, the... | |
 | William Alexander Myers - Circle-squaring - 1873 - 238 pages
...n -f- 1, provided, 2 n -|- 1 is a prime number. AXIOMS. 1. Things which are equal to the same thing are equal to one another. 2. If equals be added to...equal. 3. If equals be taken from equals the remainders are equal. 4. If equals be added to unequals the wholes will be unequal. 5. If equals be taken from... | |
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AXIOMS. 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. 
