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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 - Σελίδα 4
των Royal Military Academy, Woolwich - 1853
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...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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...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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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...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 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...

Elements of the Philosophy of the Human Mind, Τόμος 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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...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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