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" Things which are equal to the same thing are equal to one another. 2. 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... "
Elements of Geometry: With Practical Applications, for the Use of Schools - Pàgina xiv
per Timothy Walker - 1829 - 129 pàgines
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 pàgines
...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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 pàgines
...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 pàgines
...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,...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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The First Six Books with Notes

Euclid - 1822 - 222 pàgines
...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 to one another. 8. Magnitudes which coincide with one another, are equal to...
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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - 1823 - 210 pàgines
...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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pàgines
...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...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...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pàgines
...Geometry, proposition 1, book i. AXIOMS. 1. Things which are equal to the same are equal to one another. 2. If equals' be added to equals, the wholes are equal....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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pàgines
...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...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...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 pàgines
...equals be taken from unequals, the remainders are unequal. 6. Things which are doubles 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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The First Six Books of the Elements of Euclid: With Notes

Euclid - 1833 - 216 pàgines
...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 to one another. 8. Magnitudes, which coincide with one another, are equal to...
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