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" Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. "
The Penny Cyclopædia of the Society for the Diffusion of Useful Knowledge - Seite 183
1835
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...the remainders are unequal. VI. Things which are double of the same are equal to one another. VII. Things which are halves of the same are equal to one another. VIII. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal...
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An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816 - 224 Seiten
...unequals, the remainder 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 which coincide with one another, that is, which exactly fill the same space, are equal to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...the remainders are unequal. VI. Things which are double of the same, are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...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 which coincide with one another, that is, which exactly fill the space, are equal to one...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 Seiten
...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 which mutually agree with one another, are equal to one another. 9. The whole is greater than...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 Seiten
...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 which mutually agree with one another, are equal to one another. 0. The whole is greater than...
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Lectures on the Evidences of Christianity, with an introductory lecture on ...

Robert Cree - 1827 - 426 Seiten
...the fallacy of any given proposition. The axiom, that 'the whole is greater than its part,' or that 'things which are halves of the same are equal to one another,' is true, not because such is the arbitrary appointment of any being whatsoever, but because it agrees...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...the remainders are unequal. VI. Things which are double of the same, are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal...
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The North American Review, Band 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 598 Seiten
...from unequals, the remainders are unequal. Things which are double the same, are equal to'one another. Things which are halves of the same, are equal to one another. Besides these six, which are enumerated by Euclid, and constantly taken for granted by Legendre, we...
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The North American Review, Band 27

Jared Sparks, Edward Everett, James Russell Lowell, Henry Cabot Lodge - 1828 - 598 Seiten
...from unequals, the remainders are unequal. Things which are double the same, are equal to one another. Things which are halves of the same, are equal to one another. Besides these six, which are enumerated by Euclid, and constantly taken for granted by Legendre, we...
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