 | John Playfair - Euclid's Elements - 1842 - 332 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,... | |
 | William Chambers, Robert Chambers - Encyclopedias and dictionaries - 1842 - 938 pages
...Euclid in the first book, are the following : — 1. Things which are equal to the same thing, arc 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,... | |
 | Euclides - 1846 - 272 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. 3. If from equals, equals be taken, the remainders are equal. 4. If to unequals, equals be added, the wholes... | |
 | Euclides - 1847 - 128 pages
...which are equal to the same thing, are equal to one another. Also, things which are equal 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,... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...in its proper place. Axioms. 1. Things which are equal to the same thing, are equal t» each other. 2. If equals be added to equals, the wholes will be...be taken from equals, the remainders will be equal. 5. If equals be taken from unequals, the remainders will be unequal. 4. If equals be added to unequals,... | |
 | Almon Ticknor - Measurement - 1849 - 156 pages
...which are equal to the same thing are equal to each other. 2. If equals be added to equals, the whole will be equal. 3. If equals be taken from equals,...will be equal. 4. If equals be added to unequals, the wh»le will be unequal. 5. If equals be taken from unequals, the remainders will be unequal. 6. Things... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...trapezoid. Of A xio in s . AXIOMS. 1. Things which, are equal to the same thing are equal to each other. 2. If equals be added to equals, the wholes will be...remainders will be equal. 4. If equals be added to imequals, the wholes will be unequal. 5. If equals be taken from unequals, the remainders will be unequal.... | |
 | Charles Guilford Burnham - 1850 - 350 pages
...is a self-evident proposition. 1. Things which are equal to the same thing are equal to each other. 2. If equals be added to equals, the wholes will be equal. 8. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals,... | |
 | Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...done, without demonstrating how it is to be done. 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,... | |
 | Euclides - 1852 - 48 pages
...centre, with any distance from that centre as radius. AXIOMS. 1. Things which are equal to the same, 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,... | |
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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. 
