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Bøker Bok 110 av 73If equals be added to equals, the wholes are equal. 3. If equals be taken from equals,...
" 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 Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 272 sider
...taken from unequals the remainders will be unequal. • 6. Things which are double of the fame thing are equal to each other. 7. Things which are halves of the fame thing are equal to each other. 8. The whole is equal to all its parts taken together. 9. Magnitudes...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 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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The First Six Books with Notes

Euclid - 1822 - 179 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 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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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 494 sider
...remains from the subtraction of the greater, being the less. 6. Things, which are double of the same, are equal to each other. 7. Things, which are halves of the same, are equal to each other. 8. Things, which, being applied to each other, do coincide, are equal. Corollary....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...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, Phillips - 1826 - 180 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. Things...
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Euclid's Elements of geometry, transl. To which are added ..., Bøker 1-6

Euclides - 1826
...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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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 129 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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The first six books of the Elements of Euclid: with notes

Euclid, Thomas Elrington - 1833 - 183 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 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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Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 359 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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