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" 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. "
Elements of Geometry: With Practical Applications, for the Use of Schools - Page xiv
by Timothy Walker - 1829 - 129 pages
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Abraham Lincoln: The Prairie Years, Volume 1

Carl Sandburg - 1926 - 528 pages
...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) magnitudes which coincide with one another are equal to one another;...
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Abraham Lincoln: The Prairie Years,

Carl Sandburg - 1926 - 528 pages
...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) magnitudes which coincide with one another are equal to one another;...
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Popular Science Monthly, Volume 68

Science - 1906 - 600 pages
...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 to one another. 8. Magnitudes which coincide with one another, that is, which exactly...
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Euclid in Greek, Volume 1

Euclid - Euclid's Elements - 1920 - 304 pages
...subtracted 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.' They are really unnecessary and, in view of the principle that axioms...
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Belgravia: A London Magazine, Volume 5

1868 - 658 pages
...length in a straight line ; that if equals be taken from equals, the remainders are equal, and that things which are double of the same are equal to one another. These dicta may be self-apparent, and we may have an innate although inarticulate consciousness of...
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Annals & Magazine of Natural History

Botany - 1876 - 560 pages
...that one of the branches is, but that the branches are, twice as long as their peduncle. So that, if things which are double of the same are equal to one another, this species ought not to be reckoned an Autonoe, or the generic character of Autonoe must itself be...
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