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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. "
Euclid's Elements of geometry, transl. To which are added, algebraic ... - Seite 2
von Euclides - 1826
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Pure mathematics, Band 1

Edward Atkins - 1874 - 426 Seiten
...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...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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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 Seiten
...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...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, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...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...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...
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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 Seiten
...unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. C. Things which are double of the same are equal to one...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 Quadrature of the Circle: The Square Root of Two, and the Right-angled ...

William Alexander Myers - 1874 - 207 Seiten
...be taken from unequals the remainders will be 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, that is, which exactly...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
...unequals the wholes are unequal. 5. If equals be taken from uncquals the remainders are unequal. G. Things which are double of the same are equal to one...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...unequals, the wholes are unequal, V. If equals be taken from unequals, the remainders are unequal. VL Things which are double of the same, are equal to one another. VIL Things which are halves of the same, are equal to one another. vm. Magnitudes which coincide with...
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 Seiten
...unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. G. Things which are double of the same are equal to one...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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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 458 Seiten
...from unequals, the remain ders are unequal. 6. Things which are doubles of the same, or of equals, are equal to one another. 7. Things which are halves of the same, or of equals, are equal to one another. 8. Magnitudes which coincide with one another, that is, which...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 Seiten
...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 thing are equal to one another. 7. Things which are halves of the same thing are equal to one another....
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