 | Euclides - 1852 - 48 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 right lines cannot... | |
 | Euclides - 1852 - 152 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... | |
 | Euclides - 1853 - 146 pages
...are equal to one another. TO. 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... | |
 | Euclides - Geometry - 1853 - 176 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...unequals, the remainders are unequal. 7. Thitigs which are halves of the same are equal to one another. S. 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... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...plain enough, for AB + CD = CD + DE = CE ; and AB taken from CE = CD. The same principle, viz. that ' magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another', leads to the conclusion that, in like manner areas and angles... | |
 | Dugald Stewart - 1854 - 454 pages
...K«! ra ifxfpi^nra if «>.?,:,•/.,•/. tvx i\\g>.ti! Irri : — 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... | |
 | Dugald Stewart - 1854 - 452 pages
...place. Ka) TO. tf*(fii%i>rx !«•' aAXnX* tra £xx»x»« 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... | |
 | Euclides - 1855 - 270 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. Dr. Thomson, in his edition... | |
 | Robert Rawson - 1856 - 178 pages
...same, are equal to one another. vn. Things which are halves of the same, are equal to one another. vin. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. rx. The whole is greater than its part. X. Two straight lines... | |
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Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 
