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" Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. "
A Course of Mathematics ...: Designed for the Use of the Officers and Cadets ... - Σελίδα 180
των Isaac Dalby - 1807
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

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...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...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 σελίδες
...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...

An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796 - 120 σελίδες
...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...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...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...

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

Robert Simson - 1806 - 546 σελίδες
...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. Two straight lines...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...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 equal to one...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...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 eaunot inclose a...

Elements of the Philosophy of the Human Mind, Τόμος 2

Dugald Stewart - 1814 - 560 σελίδες
...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 definition of geometrical...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 σελίδες
...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. BouK I. Because the point B is the centre of the circle CGH, \j~v~j!"y BC is...

An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816 - 224 σελίδες
...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 cannot enclose...




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