 | 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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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... 
