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" Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. "
An essay on mechanical geometry, explanatory of a set of models - Page 13
by Benjamin Donne - 1796
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...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,...exactly fill the fame fpace, are equal to one another. IX. Booktl IX. The whole is greater than its part. .A. • Two ftraight lines cannot inclofe a (pace....
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 pages
...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,...exactly fill the fame fpace, are equal to one another. IX. Book I. IX. The whole is greater than its pan. X. Two ftraight lines cannot inclofe a fpace. XI....
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...away, the remainders are unequal. 6. And the doubles of the fame are equal to one another. 7. Alfo the halves of the fame are equal to one another. 8. Magnitudes which fit each other exactly are equal to one another. 9. Alfo the whole is greater than its part. 10. And...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 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...exactly fill the fame fpace, are equal to one another. f Took I. IX. The whole Is greater than its part. X. Two ftraight lines cannot inclofe a fpace, XI....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...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, which exactly fill the same space, are equal to one another. Book I. IX. * •,-.< The whole is greater than its part. X....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...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, which exactly fill the same space, are equal to one another. IX. The whole is greater than its part. X. All right angles are...
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 1

Isaac Dalby - Mathematics - 1807 - 476 pages
...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...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...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 is, which exactly fill the same space, are equal to one another. 9. The whole is greaterthan its part. 10. Two straight lines...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - Psychology - 1814 - 564 pages
...K«i T» cQxf/Mfytrtt nr' aAAitA« IT'« «AAi,Ao/.; ttrrt : — thus translated by Dr. Simaon : " Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another." This, in truth, is not an axiom, but a definition. It is the...
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An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816 - 224 pages
...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...with one another, that is, which exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines...
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