| Robert Simson - Trigonometry - 1775 - 520 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 - 550 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
...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 - 518 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 - Euclid's Elements - 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 - 722 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 - 564 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... | |
| |