| Hastings Berkeley - Mathematics - 1910 - 279 pages
...Axioms of Direction. EUCLID'S Axiom of Parallels runs as follows : If a straight line meet two straight **lines, so as to make the two interior angles on the...taken together, less than two right angles, these** straight lines being continually produced, shall at length meet upon that side on which are the angles... | |
| James Byrnie Shaw - Mathematics - 1918 - 222 pages
...geometry. Euclid had among his postulates one which read thus : If a straight line meet two straight **lines so as to make the two interior angles on the...taken together, less than two right angles, these** straight lines, being continually produced, shall at length meet upon that side of the line on which... | |
| Robert T. Browne - Hyperspace - 1919 - 426 pages
...stated by EUCLID in his Elements of Geometry, reads as follows: "If a straight line meet two straight **lines so as to make the two interior angles on the...it taken together less than two right angles, these** straight lines being continually produced, shall at length meet upon that side on which are the angles... | |
| Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...corresponding angles equal, the two lines are parallel. Prop. 41. If two lines are cut by a transversal **so as to make the two interior angles on the same side of** the transversal supplementary, the lines are parallel. Prop. 41, Cor. II. Two lines respectively perpendicular... | |
| 1901 - 488 pages
..."self-evident" it is the reader may judge for himself. "If a straight line meets two other straight **lines so as to make the two interior angles on the...it taken together less than two right angles, these** sides being continually produced shall at length meet on that side on which are the angles which are... | |
| Science - 1886 - 548 pages
...parallel-axiom mentioned in my paper. Form (a), (Euclid's) is: — "If a straight line meets two straight **lines, so as to make the two interior angles on the...it taken together less than two right angles, these** straight lines being continually produced shall at length meet upon that side on which are the angles... | |
| Roberto Bonola - Mathematics - 1955 - 452 pages
...alternate angles, he hrings m the unwieldly postulate or axiom: " If a straight line meet two straight **lines, so as to make the two interior angles on the...it taken together less than two right angles, these** straight lines, heing continually produced, shall at length meet on that side on which are the angles... | |
| University Council for Educational Administration - Education - 1962 - 580 pages
...example, "triangle"; axioms, for example, "If a straight line meets two straight lines, so as to make **two interior angles on the same side of it taken together less than two right angles, these** straight lines, being continually produced, shall at length meet on that side on which are the angles... | |
| Theophilus Parsons - Judges - 1859 - 516 pages
...proposition, that, if a right line meets two right lines, making the two interior angles on the. same side, **taken together, less than two right angles, these two right lines, being continually** produced, shall meet upon that side on which are the two angles which are less than two right angles.... | |
| I. N. Herstein, Irving Kaplansky - Mathematics - 1978 - 256 pages
...point has prepared us for the astonishing final axiom. AXIOM 12. If a straight line meets two straight **lines, so as to make the two interior angles on the...it taken together less than two right angles, these** straight lines, being continually produced, shall at length meet on that side on which are the angles... | |
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