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" Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. "
The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick - Seite 4
von Royal Military Academy, Woolwich - 1853
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 Seiten
...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 Seiten
...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
...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 Seiten
...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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...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 ..., Band 1

Isaac Dalby - 1807 - 476 Seiten
...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 ..., Band 5

John Mason Good - 1813
...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...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, Band 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
...same, are equal to one another. 7. Things which are halves of the same, are equal to one another. , 8. Magnitudes which coincide with one another, that is,...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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