 There is also the assumption that if unequals are added to unequals in the same order the sums are unequal in the same order, and that if unequals are subtracted from equals the remainders are unequal in the reverse order, these being the only ones relating...  School Science and Mathematics - Page 4341911Full view - About this book
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...the remainders are equal. 4. If equals are added to unequals, the sums are unequal in the same order; if unequals are added to unequals in the same order, the sums are unequal in that order. 5. If equals are taken from unequals, the remainders are unequal in the same... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...the remainders are equal. 4. If equals are added to unequals, the sums are unequal in the same order; if unequals are added to unequals in the same order, the sums are unequal in that order. 5. If equals are taken from unequals, the remainders are unequal in the same... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...remainders are equal. 4. If equals are added to unequals, the sums are unequal in the same order ; if unequals are added to unequals in the same order, the sums are unequal in that order. 5. If equals are taken from unequals, the remainders are unequal in the same... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...the remainders are equal. 4. If equals are added to unequals, the sums are unequal in the same order; if unequals are added to unequals in the same order, the sums are unequal in that order. 5. If equals are taken from unequals, the remainders are unequal in the same... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...remainders are equal. 4. If equals are added to unequals, the sums are unequal in the same order ; if unequals are added to unequals in the same order, the sums are unequal in that order. 5. If equals are taken from unequals, the remainders are unequal in the same... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...equals, the sums are equal. 2 If equals are added to unequals, the sums are unequal in the same order. 3 If unequals are added to unequals in the same order, the sums are unequal in the same order. 4 If equals are taken from equals, the remainders are equal. 5 If equals... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...equals, the sums are equal. 2 If equals are added to unequals, the sums are unequal in the same order. 3 If unequals are added to unequals in the same order, the sums are unequal in the same order. 4 If equals are taken from equals, the remainders are equal. 5 If equals... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...equal positive quantities, this axiom states that a + x>b + y, a — x>b — y, ax>by, ->-,etc. xy 7. If unequals are added to unequals in the same order, the sums are unequal in the same order; if unequals are subtracted from equals the remainders'are unequal in the... | |
 | David Eugene Smith - Geometry - 1911 - 370 pages
...a way as to exclude multiplying or dividing by negative numbers, this case • not being needed. 7. If unequals are added to unequals in the same order, the sums are unequal in the same order; if unequals are subtracted from equals, the remainders are unequal in the... | |
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