 | Robert Simson - Trigonometry - 1775 - 534 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.... | |
 | Euclid - 1781 - 552 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.... | |
 | 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... | |
 | Robert Simson - Trigonometry - 1804 - 530 pages
...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.... | |
 | Robert Simson - Trigonometry - 1806 - 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. Book I. IX. * •,-.< The whole is greater than its part. X.... | |
 | John Playfair - Mathematics - 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... | |
 | 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... | |
 | John Mason Good - 1813 - 714 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... | |
 | Dugald Stewart - Psychology - 1814 - 560 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... | |
 | 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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Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 
