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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 ... - Página 2
por Euclides - 1826
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 páginas
...away from unequal things, the remainders are unequal. 6. Things which are double to the fame thing, are equal to one another. 7. Things which are halves of the fame thing, are equal to one another. 8. Things which mutually agree with one another, are equal to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 páginas
...unequals, the wholes are unequal. V. If equals be taken from unequals, 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1813 - 714 páginas
...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...same, are equal to one another. 7. Thing-s which are iial-.es of the same, are -equal -to one another, 8. 'Magnitudes which coincide with one another, that...
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An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816 - 224 páginas
...equals be added to unequals, the whole are unequal. 5. If equals be taken from unequals, the remainder are unequal. 6. Things which are double of the same,...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 Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volumen1

Charles Hutton - 1816 - 610 páginas
...When equals are added to unequals, the wholes arc Unequal. 5. When equals are taken from unequals, the remainders are unequal. 6 Things which are double of the same thing, or equal things, are equal to each other. 7. Things which arc halves of the same thing, afe...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 páginas
...unequals, the wholes are unequal V. If equals betaken from unequals, 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...
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Artis logicæ rudimenta, with illustrative observations [and a transl. By J ...

Henry Aldrich - 1821 - 300 páginas
...allowed as soon as perceived : such are axioms ; which neither require nor admit syllogistic proof: as, Things which are double of the same are equal to one another. In the secondary degree, it denotes the certainty of those relations which may be immediately deduced...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 páginas
...When equals are added to unequala, the wholes are unequal. 5. When equals are taken from unequals ; the remainders are unequal. 6. Things which are double of the same thing, or equal things, are equal to each other. 7. Things which are halves of the same thing, are...
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The First Six Books with Notes

Euclid - 1822 - 222 páginas
...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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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - 1823 - 210 páginas
...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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