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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. "
Elements of geometry, based on Euclid, books i-iii - Side 9
av Edward Atkins - 1876 - 119 sider
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 464 sider
...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, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...are equal to one another. VII. Things which are halves of the fame, are equal to one another. VIII. Magnitudes which coincide with one another, that is, which exactly fill the fame fpace, are equal to one another. IX. Booktl IX. The whole is greater than its part. .A. • Two...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...are equal to one another. VII. Things which are halves of the fame, are equal to one another. VIII. Magnitudes which coincide with one another, that is, which exactly fill the fame fpace, are equal to one another. IX. Book I. IX. The whole is greater than its pan. X. Two ftraight...
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An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796
...Things which are double of the fame, are equal to one another. 7Things which are halves of the fame, are equal to one another. 8. Magnitudes which coincide...with one another, that is, which exactly fill the fame fpace, are equal to one another. 9, 9The whole is greater than its part. 10. Two ftraight lines...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...are equal to one anotherw VII. Things which are halves of the fame, are equal to one another. VIII. Magnitudes, which coincide with one another, that is, which exactly fill the fame fpace, are equal to one another. f Took I. IX. The whole Is greater than its part. X. Two ftraight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...equal to one ' another. VII. Things which are halves of the same thing are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. All right angles are equal to one another. " Two straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 sider
...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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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volum 1

Isaac Dalby - 1807
...all its parts taken together. 35. Things which arc the like parts of the same thing, are equal. 3(J. Magnitudes which coincide with one another, that is which exactly fill the same space, are identical, or mutually equal in all their parts. 37- All right angles are equal to one another. NB...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...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. 'Magnitudes which coincide with one another, that...
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Elements of the Philosophy of the Human Mind, Volum 2

Dugald Stewart - 1814
...K«i T» cQxf/Mfytrtt nr' aAAitA« IT'« «AAi,Ao/.; ttrrt : — thus translated by Dr. Simaon : " Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another." This, in truth, is not an axiom, but a definition. It is the definition of geometrical equality ; the...
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