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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 ... - Page 281
by Charles Hutton - 1831
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...If equals be added to unequal», the «holes яге unequal. 5. If equals be taken from unequal«, the remainders are unequal. 6. Things which are double of the same, are equal to one another. 7. Thing-s which are iial-.es of the same, are -equal -to one another, 8....
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Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Volume 10

Encyclopaedia Perthensis - 1816 - 764 pages
...equals, the wholes are equal. 3. When equals are taken from equals, the remainders are equal, 4. Wlren equals are added to unequals, the wholes are unequal. 5. When equals are taken fronj unequala, the remainders are unequal. 6. Things which are doubles of the fame thing are equal...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 10

Encyclopedias and dictionaries - 1816
...equals are added to equals, the wholes are equal. , 3. When equals are taken fronrequals, the remainders are equal. 4. When equals are added to unequals, the wholes are unequal. ,5._\Vhen equals are taken from unequals, the remainders are unequal. 6. Things which are doubles of...
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The First Six Books with Notes

Euclid - 1822 - 179 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 or of equals, are equal to one another. 7. Things which are halves of the same or of equals, are equal...
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A treatise on navigation, and nautical astronomy

Edward Riddle - Nautical astronomy - 1824 - 572 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 taken from unequals, the remainders are unequal. с 6. Things which are like multiples of th'e same, or of equal tilings, are equal to each other. 7....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequal s, 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...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 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. Things...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 228 pages
...equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from uncquals, 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. Things...
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 10

Thomas Curtis - Aeronautics - 1829
...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...unequals, the remainders are unequal. 6. Things which are like multiples of the same thing are equal to one another. 7. Things which are like parts of the same...
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The London encyclopaedia, or, Universal dictionary of science ..., Volume 10

Thomas Curtis (of Grove house sch, Islington) - 798 pages
...equals are added to equals, the wholes are equal. 3. \Vhen equals are taken from equals, the remainders are equal. 4. When equals are added to unequals, the...wholes are unequal. 5. When equals are taken from unequils, the remainders are unequal. 6. Thincs which arc like multiples of the same thm£ are equal...
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