 | Euclides - 1816 - 588 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. BouK I. Because the point B is the centre of the circle CGH,... | |
 | John Playfair - 1819 - 354 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. 3 X. All right angles... | |
 | Euclid - 1822 - 222 pages
...the same or of equals, are equal to one another. 7. Things which are halves of the same or of equals, are equal to one another. 8. Magnitudes which coincide with one another, are equal to one another. 9. The whole is greater than its part. 10. Two right lines cannot inclose... | |
 | Peter Nicholson - Architecture - 1823 - 210 pages
...are double of the same thing, are equal to one another. 7. Things which are halves of the same thing, 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. Only one straight... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 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 space, are equal to one another. 0. The whole is greater than its part. 10. Twfc«».^^^ lines cannot... | |
 | Robert Simson - Trigonometry - 1827 - 546 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. IX. The whole is greater than its part. X. Two straight lines... | |
 | Timothy Walker - Geometry - 1829 - 156 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... | |
 | John Playfair - Geometry - 1829 - 210 pages
...are doubles of the same thing are equal to one another. 7. Things which are halves of the same thing 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. A. The whole is equal... | |
 | Timothy Walker - Geometry - 1829 - 138 pages
...same, are equal to one another. 7. Things which are halves of the same, are equal to one another. i 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... | |
 | Dugald Stewart - 1829 - 418 pages
...proper place. Kal ra 'upagpH-mira i«* aXXuXa Tffa a^AnAo/; irrl : — thus translated by Dr. Simson : " 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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Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 
