| 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,...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 another. " Two straight... | |
| 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,...exactly fill the same space, are equal to one another.** Book I. IX. * •,-.< The whole is greater than its part. X. Two straight lines cannot enclose a space.... | |
| John Mason Good - 1813 - 722 pages
...unequal. 6. Things 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...same space, are equal to one another. 9. The whole is** greaterthan its part. 10. Two straight lines eaunot inclose a space. 1 1. All .right nnrlt'S arc equal... | |
| 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,...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 equality ; the... | |
| John Greig - 1816 - 224 pages
...to unequals, the whole are unequal. 5. If equals be taken from unequals, the remainder are unequal. **6. Things which are double of the same, are equal...another. 9. The whole is greater than its part. 10. Two** straight lines cannot enclose a space. 11. All right angles are equal to one another. 3. GEOMETRICAL... | |
| Euclides - 1816 - 528 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,...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 equal* to BG; and because... | |
| John Mason Good - 1819 - 740 pages
...which are lulvej of the same, are equal to one another. Ь. Magnitudes which coincide withoneanotber, **that is, which exactly fill the same space, are equal...another. 9. The whole is greater than its part. 10. Two** straight lines cannot inciose a »pace. 1 1. All right angles are equal to one auother. IÍ. "If a... | |
| John Playfair - 1819 - 317 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,...exactly fill the same space, are equal to one another.** IX. The whole is greater than its part. 3 X. All right angles are equal to one another. XI. " Two straight... | |
| Dugald Stewart - Psychology - 1821 - 350 pages
...w*£u'.Ç'*vrî «»' лллих» lea яллялмс tm : — thus translated by Dr. Simson ; " Magnituui's **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 equality ; the... | |
| 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...another. 9. The whole is greater than its part. 10.** Only one straight line can be drawn from one point to another. 11. Two straight lines cannot be drawn... | |
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