| Charles Austin Hobbs - 1921 - 216 σελίδες
...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 σελίδες
...far from "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...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... | |
| John Neville Keynes - 1928 - 580 σελίδες
...proposition and its contrapositive ; for example, between Euclid's twelfth axiom, " 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 that are less than two right angles," and the second part of the... | |
| John Whitehead, L. F. Whitehead - 1928 - 514 σελίδες
...lines cannot enclose a space Ii. AU right angles are equal to one another. I2. 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 tht angles... | |
| Franklin D. Jones - 1928 - 1256 σελίδες
...a space, n. All right angles are equal to one another. 12. If a straight line intersects two other straight lines, so as to make the two interior angles...side of it taken together less than two right angles, then these straight lines, if continually produced, must meet upon the side on which the angles are... | |
| 1906 - 600 σελίδες
...can not enclose 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 angles. Modern objections to these... | |
| Roberto Bonola - 1955 - 452 σελίδες
...make equal 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...less than two right angles, these straight lines, heing continually produced, shall at length meet on that side on which are the angles which are less... | |
| University Council for Educational Administration - 1962 - 580 σελίδες
...primitive terms, for example, "point"; defined terms, for 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... | |
| I. N. Herstein, Irving Kaplansky - 1978 - 256 σελίδες
...one another. But nothing up to this point has prepared us for the astonishing final axiom. AXIOM 12. If a straight line meets two straight lines, so as...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. The axiom is illustrated... | |
| Ivor Grattan-Guinness, Gerard Bornet - 1997 - 310 σελίδες
...4. And that all right angles are equal to one another. 5. And that if a straight line meet two other straight lines so as to make the two interior angles...these straight lines being continually produced shall meet on that side on which are the angles which are less than two right angles. 6. And that two straight... | |
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