| Euclid - Geometry - 1872 - 284 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.** 1 0. Two right lines cannot enclose a space: 1 1 . All right angles are equal to one another. 12. If... | |
| William Alexander Myers - Circle-squaring - 1873 - 238 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...whole is greater than its part. 10. Two straight lines** can not inclose a space. 12. If a straight line meet two straight lines, so as to make the two interior... | |
| Lewis Sergeant - 1873 - 182 pages
...: — 8. Magnitudes which coincide, or which exactly fill the same space, are equal to each other. **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.) Further Explanation of Terms, &c. The... | |
| Euclides - 1874 - 342 pages
...line. 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. **1. THINGS which are equal to the same thing are equal...cannot inclose a space. 11. All right angles are equal** to one another. • If a straight line meets two straight lines, so as to make the two interior angles... | |
| Euclides - 1874 - 120 pages
...line. 3. And that a circle may be described from any centre, at any distance from that centre. AXIOMS. **1. Things which are equal to the same thing are equal...greater than its part. 10. Two straight lines cannot** enclose a space. 11. All right angles are equal to one another. 12. Two straight lines which cut one... | |
| Edward Atkins - 1874 - 426 pages
...distance from that centre. Axioms. 1. Things which are equal to the same thing are equal to one another. **3. If equals be taken from equals the remainders are...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... | |
| Edward Atkins - 1874 - 428 pages
...unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. C. **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... | |
| William Alexander Myers - Circle-squaring - 1874 - 207 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...whole is greater than its part. 10. Two straight lines** can not inclose a space. 12. If a straight line meet two straight lines, so as to make the two interior... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...which are halves of tho same, or of equals, are equal to one another. 8. Magnitudes which coincide, **that is, which exactly fill the same space, are equal...another. 9. The whole is greater than its part. 10.** The whole is equal to all its parts taken together. 11. All right angles are equal to one another.... | |
| Edward Atkins - 1876 - 130 pages
...unequals the wholes are unequal. 5. If equals be taken from uncquals 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... | |
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