 | Euclides - 1871 - 136 pages
...another. V. That two straight lines cannot inclose a space. VI. That if a straight line meet two other straight lines, so as to make the two interior angles...upon that side, on which are the angles, which are together less than two right angles. The word rendered "Postulates" is in the original alrr/fiara,... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...another. V. That two straight lines cannot inclose a space. VI. That if a straight line meet two other straight lines, so as to make the two interior angles...angles, these straight lines being continually produced shalj. at length meet upon that side, on which are the angles, which are together less than two right... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...X. Two straight lines cannot enclose a space. XL All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as...which are less than two right angles." PROPOSITION I. Tu describe an equilateral triangle on a given finite straight line. Let AB be the given straight line;... | |
 | William Alexander Myers - Circle-squaring - 1873 - 238 pages
...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...lines being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. ARTICLES. 1. The double... | |
 | Euclides - 1874 - 342 pages
...part. 10. Two straight lines cannot inclose a space. 11. All right angles are equal to one another. • If a straight line meets two straight lines, so as...are the angles which are less than two right angles. EXPLANATION OF TERMS. 1. A Proposition in geometry, as its name implies, is something proposed either... | |
 | William Alexander Myers - Circle-squaring - 1874 - 207 pages
...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...lines being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. ARTICLES. 1. The double... | |
 | Edward Atkins - 1874 - 428 pages
...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...lines being continually produced shall at length meet on that side on which are the angles which are less than two right Explanation of Terms and Abbreviations.... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...&c. Euclid's Twelfth Axiom, on which his Theory of Parallels depends, is " If a straight line meet two straight lines, so as to make the two interior...it taken together less than two right angles, these two straight lines being continually produced, shall at length meet on that side on which are the angles... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...part. X. Two straight lines cannot enclose a space. XL All right angles are equal to one another. xn. If a straight line meets two straight lines, so as...than two right angles. PROPOSITION I. PROBLEM. To dlteribt an equilateral triangle upon a given finite straight lint, Let AB be the given straight line.... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...another. V. That two straight lines cannot enclose a space. VI. That if a straight line meet two other straight lines, so as to make the two interior angles...upon that side, on which are the angles, which are together less than two right angles. The word rendered "Postulates" is in the original alrriiMTa, "requests."... | |
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If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... 
