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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. "
A Course of Mathematics: For the Use of Academies as Well as Private Tuition ... - Page 281
by Charles Hutton - 1831
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Plane and Solid Geometry

William James Milne - Geometry - 1899 - 398 pages
...from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal. 5. If equals are taken from unequals, the remainders are unequal. 6. Things which are doubles of equal things are equal. 1. Tilings which are halves of equal things are equal. 8. The whole...
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Handbook of Calculations for Engineers and Firemen Relating to the Steam ...

Nehemiah Hawkins - Steam engineering - 1903 - 354 pages
...equals are added to equals the whole 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...
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Self-help Mechanical Drawing: An Educational Treatise

Nehemiah Hawkins - Mechanical drawing - 1903 - 328 pages
...equals are added to equals the wheles art equal. 3. When equals are taken from equals the remainders are equal. 4. When equals are added to unequals the -wholes are unequal. 5. When equals arc taken from unequals the remainders are unequal. 6. Things which arc double of the same thing, or...
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Henley's Encyclopędia of Practical Engineering and Allied Trades: A ...

Joseph Gregory Horner - Engineering - 1906 - 572 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 thing are equal to one another. 7. Things which are halves of the same thing are equal to one another. 8....
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Henley's Encyclopaedia of Practical Engineering and Allied Trades ...

1906 - 576 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 thing are equal to one another. 7. Things which are halves of the same thing are equal to one another. 8....
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Hawkins' Mechanical Dictionary: A Cyclopedia of Words, Terms, Phrases and ...

Nehemiah Hawkins - Industrial arts - 1909 - 714 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...are unequal. 6. Things which are double of the same thing-pr equal things, are equal to each other. 7. Things which are halves of the same . thing,' or...
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Hawkins' Mechanical Dictionary: A Cyclopedia of Words, Terms, Phrases and ...

Nehemiah Hawkins - Industrial arts - 1909 - 710 pages
...from equals the remainders are equal. 4. When equals are added to unequals the wholfiB are unequal. 6. When equals are taken from unequals the remainders are unequal. 6. Things which are doable of the same thinR, or equal things, are equal to each other. 7. Things which are halves of the...
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Abraham Lincoln: The Prairie Years,

Carl Sandburg - 1926 - 528 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 thing are equal to one another; (7) things which are halves of the same thing are equal to one another; (8)...
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Abraham Lincoln: The Prairie Years, Volume 1

Carl Sandburg - Presidents - 1926 - 528 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 thing are equal to one another; (7) things which are halves of the same thing are equal to one another; (8)...
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Popular Science Monthly, Volume 68

Science - 1906 - 600 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 01 the same thing are equal to one another. 7. Things which are halves of the same thing are equal...
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