| James Byrnie Shaw - 1918 - 222 σελίδες
...non-Euclidean 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...continually produced, shall at length meet upon that side of the line on which are the angles which are less than two right angles. For ages mathematicians endeavored... | |
| 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 - 1254 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... | |
| Euclid - 1933 - 328 σελίδες
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| Hyman Levy - 1939 - 766 σελίδες
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| Hyman Levy - 1939 - 758 σελίδες
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