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Books Books 11 - 13 of 13 on If equal numbers be added to equal numbers, the sums are equal numbers. That is,....  
" If equal numbers be added to equal numbers, the sums are equal numbers. That is, if a = b and c = d, then a + c = b + d, If a = b c and x = p g, then a + x = (b c) + (p q) = b +p c q. "
Elements of algebra priliminary to the differential calculus ... - Page 2
by Augustus De Morgan - 1837 - 256 pages
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The High School Geometry Tutor

Max Fogiel - Business & Economics - 1985 - 326 pages
...) If equal quantities are added to unequal quantities, the sums are unequal and in the same order. (If a< b and c = d, then a + c <b + d. ) If unequal quantities are subtracted from equal quantities, the differences are unequal and in the opposite...
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On Beyond Euclid

Ben Jacobs - Mathematics - 2006 - 160 pages
...Multiplication Property Substitution Property Distributive Property If a b, then b a. Also, a a. If a b and c d, then a + c b + d. If a b, then ac = bc If a b, then a or b can be substituted for the other in any mathematical expression....
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Essentials of Geometry

...order. If unequals are added to unequals of the same order, the sums are unequal in the same order. If a > b and c = d, then a + c > b + d If a > b and c > d, then a + c> b + d. Ax. 14. If equals are subtracted from unequals, the remainders are unequal...
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