| Edward Atkins - 1877 - 72 pages
...unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. G. **Things which are double of the same are equal to one...cannot inclose a space. 11. All right angles are equal** to one another. 12. If a straight line meet two straight lines, so as to make the two interior angles... | |
| Euclides - 1877 - 58 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...cannot inclose a space. 11. All right angles are equal** to one another. 1 2. If a straight line meet two straight lines so as to make the two interior angles... | |
| Euclides - 1879 - 146 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...greater than its part. 10. Two straight lines cannot** enclose a space. 1t. All right angles are equal to one another. 12. If a straight line meet two straight... | |
| Moffatt and Paige - 1879 - 428 pages
...are double of the same thing are equal to one another. (7) Things that are halves of the same thing **are equal to one another. (8) Magnitudes which coincide...greater than its part. (10) Two straight lines cannot** enclose a space, (n) All right angles are equal to one another. (12) If a straight line meets two straight... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...are halves of the same thing 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.** All right angles are equal to one another. 11. Two straight lines which intersect each other cannot... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 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...greater than its part. 10. Two straight lines cannot** enclose a space. 11. All right angles are equal to one another. eJtV 12. If a straight line meet two... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...equal to one another. 8. Magnitudes which coincide with one another — that is, which fill exactly **the same space — are equal to one another. 9. The...greater than its part. 10. Two straight lines cannot** enclose space. 11. All right angles are equal to one another. 12. If a straight line meets two straight... | |
| T S. Taylor - 1880 - 152 pages
...given by Euclid, but assumed by him). Lines and angles which are equal to one another, coincide with **one another. 9. The whole is greater than its part. 10. Two straight lines cannot** enclose a space. 11. All right angles are equal to each other. 12. If a straight line meet two straight... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...are double of the same thing are equal to one another. 7. Things which are halves of the same tiling **are equal to one another. 8. Magnitudes which coincide...greater than its part. 10. Two straight lines cannot** enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight... | |
| Euclides - 1884 - 182 pages
...Magnitudes which coincide with one another, that is, which exactly occupy the same space or position, **are equal to one 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. The 8th axiom is often expressed thus... | |
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