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" Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Side 6
av Euclid, Isaac Todhunter - 1883 - 400 sider
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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
...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,...exactly fill the same space, are equal to one another. Book I. IX. * •,-.< The whole is greater than its part. X. Two straight lines cannot enclose a space....
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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
...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...same space, are equal to one another. 9. The whole is greaterthan its part. 10. Two straight lines eaunot inclose a space. 1 1. All .right nnrlt'S arc equal...
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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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An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816
...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...space. 11. All right angles are equal to one another. 3. GEOMETRICAL PROBLEMS. PROBLEM I. To divide a given line, AB, into livo equal parts. 1. With any...
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