 | Industrial arts - 1835 - 398 pages
...equal to the same thing are equal to each other. 2. When equate are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders...equals are added to unequals, the wholes are unequal. 6. When equals are taken from unequals, the remainders are unequal. 6. Thinge which are double of the... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...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...to unequals, the wholes are unequal. 5. When equals are taken from unequals, the remainders are unequal. 6. Things which are double the same thing, or... | |
 | Janet Taylor - Nautical astronomy - 1851 - 674 pages
...equal to the same thing, are equal to each other. 2. When equals are added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders...to unequals, the wholes are unequal. 5. When equals are taken from unequals, the remainders are unequal. 6. Things which are like multiples of the same,... | |
 | Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...same thing are equal to each other. 2. When equals are added to equals the wholes are equal. 3. Wiien equals are taken from equals the remainders are equal....to unequals 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... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...equal to the same thing are equal tt each other. 2. When equals are added to equals the wholes are equal. 3. When equals are taken from equals the remainders...to unequals 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... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...equal to the same thing are equal to each other. 2. When equals are added to equals; the wholes are equal. 3. When equals are taken from equals, the remainders are equal. 4. When equals arc added to unequals, the wholes are unequal. 5. When equals are taken from unequals, the remainders... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...added to equals the wholes are equaL 3. When equals are taken from equals the remainders art tqual. 4. When equals are added to unequals 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... | |
 | Horatio Nelson Robinson - 1869 - 276 pages
...equal to the same thing are equal to each other. 2. TFTiere equals are added to equals the wholes are equal. 3. When equals are taken from equals the remainders...to unequals 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... | |
 | Oliver Spencer Munsell - History - 1871 - 368 pages
...to the same thing are equal to each other ; " " 2. When equals are added to equals, the wholes are equal ; " " 3. When equals are taken from equals, the remainders are equal ; " and it becomes evident that they are derived immediately from, and are in fact but variant forms... | |
 | Oliver Spencer Munsell - History - 1871 - 360 pages
...to the s'ame thing are equal to each other; " " 2. When equals are added to equals, the wholes are equal; " " 3. When equals are taken from equals, the remainders are equal;" and it becomes evident that they are derived immediately from, and are in fact but variant forms of,... | |
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AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. When equals are added to equals the wholes are equal. 3. When equals are taken from equals the remainders are equal. 
