| John Greig - 1816 - 224 pages
...equals be added 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,...greater than its part. 10. Two straight lines cannot** enclose a space. 11. All right angles are equal to one another. 3. GEOMETRICAL PROBLEMS. PROBLEM I.... | |
| 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...greater than its part. 10. Two straight lines cannot** inciose a »pace. 1 1. All right angles are equal to one auother. IĶ. "If a ftraight line mi eis two... | |
| Euclid - 1822 - 179 pages
...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 a space. 1 1. All right tt$w£ are equal to one another. 12. If a right... | |
| 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... | |
| Euclides - 1826 - 226 pages
...are halves of the same, are equal to one another. 8. Things which mutually agree with one another, **are equal to one another. 9. The whole is greater than its part.** PROPOSITION I. PROBLEM. Upon a given finite right line to describe an equilateral triangle Let AB be... | |
| John Playfair - Geometry - 1829 - 186 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...one another. 9. The whole is greater than its part.** A. The whole is equal to all its parts taken together. ED. B. It is impossible for the same thing to... | |
| Euclid - Euclid's Elements - 1833 - 183 pages
...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 a space. 11. All right angles are equal to one another. 12. If a right line... | |
| Mathematics - 1836 - 472 pages
...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...another. 9. The whole is greater than its part. 10.** All right angles are equal to one another. 11. " Two straight lines which intersect one another, cannot... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...described from any centre, and with any radius. AXIOMS. 1. Things which are equal to the same thing ate **equal to one another. 2. If equals be added to equals,...another. 9. The whole is greater than its part. 10.** All right angles are equal to one another. 11. Two straight lines cannot he drawn through the same... | |
| John Playfair - Geometry - 1837 - 332 pages
...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...another. 9. The whole is greater than its part. 10.** All right angles are equal to one another. 11. " Two straight lines which intersect one another, cannot... | |
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