 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...the remamders are equal. 4. If equals be added to unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same thing are equal to one another. 7. Things which are halves of the same thing are equal to one another. 8.... | |
 | 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...same thing, or equal things, are equal to each other. I. Things which are halves of the same thing, or of equal things, are equal to each other. 8. The whole... | |
 | Horatio Nelson Robinson - 1869 - 276 pages
...equals are added to equals the wholes are equal. 3. When equals are taken from equals the remainders are equal. 4. When equals are added to unequals the...same thing, or equal things, are equal to each other. I. Things which are halves of the same thing, or of equal things, are equal to each other. 8. The whole... | |
 | Euclides - 1870 - 270 pages
...the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. II. The... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...equals, the remainders are equal. 4. If equals are added to unequals, the wholes are unequal. 5. If equals are taken from unequals, the remainders are unequal. 6. Things which are doubles of the same thing are equal to «ach other. I. Things which are halves of the same thing are... | |
 | Euclides - 1874 - 120 pages
...the remainders are equal. 4. If equals be added to unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same are equal to one another. 7. Things which are halves of the same are equal to one another. 8. Magnitudes... | |
 | Euclides - 1874 - 342 pages
...the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 8. Magnitudes... | |
 | Edward Atkins - 1874 - 426 pages
...the remainders are equal. 4. If equals be added to unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same are equal to one another. 7. Things which are halves of the same are equal to one another. 8. Magnitudes... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...equals are added to equals the wholes are equal. 3. When equals are taken from equals the remainders are equal. 4. When equals are added to unequals the...remainders are unequal. 6. Things which are double the same thing, or equal things-., are equal to each, other. 7. Things which are halves of the same... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...equals are taken from equals the remainders are equal. 4. When equals are added to unequals the sums are unequal. 5. When equals are taken from unequals...remainders are unequal. 6. Things which are double the same thing, or equal things, are equal to each other. 7. Things which are halves of the same thing,... | |
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If equals be taken from equals the remainders are equal. 4. If equals be added to unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same are equal to one another. 
