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" If equals be added to equals, the wholes are equal. 3. 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... "
A Course of Mathematics for the Use of Academies: As Well as Private Tuition - Side 281
av Charles Hutton - 1825
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 sider
...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. Magnitudes...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 sider
...taken from unequals, the remainders will be unequal. 6. Things which are double of the same thing, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 sider
...taken from unequals, the remainders will be unequal. 6. Things which are double of the same thing, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - 1835 - 388 sider
...taken from unequals, the remainders will be unequal. 6. Things which are double of the same thing, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all...
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Chambers's Information for the People, Volum 2

William Chambers, Robert Chambers - 1842 - 938 sider
...remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals he 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 came, are equal to one another. 8. Magnitudes...
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Chambers's information for the people, ed. by W. and R. Chambers, Volum 2

Chambers W. and R., ltd - 1842 - 744 sider
...equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from uneqnals, 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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Euclid's Elements of geometry, the first three books (the fourth, fifth, and ...

Euclides - 1846 - 272 sider
...equal. 4. If to unequals, equals be added, the wholes are unequal. 5. If from unequals, equals be taken, 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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Elementary Course of Geometry ...

Charles William Hackley - 1847 - 248 sider
...unequal. 5. When equals are taken from unequals, the remainders are unequal. 6. Things which are double the same thing, or equal things, are equal to each...Things which are halves of the same thing are equal. 8. The whole is greater than its part. 9. Every whole is equal to all its parts taken together. A 2 10....
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 sider
...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. Magnitudes...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 sider
...equals are added to unequals, the wholes are unequal. 6. Things which are doubles of the same thing are equal to each other. 7. Things which are halves of the same thing are equal to each other. 8. Magnitudes which coincide with each other, that is, which exactly fill the same space,...
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