| Robert Simson - Trigonometry - 1827 - 546 pages
...cannot inclose a space. XI. All right angles are equal to one another. XII. " If a straight line meet **two straight lines, so as to " make the two interior...continually produced, shall at " length meet upon that side** on which are the angles " which are less than two right angles." See the notes on Prop. 29. of Book... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...before the llth is accounted the 10th. The 12th Axiom of Euclid is, that " if a straight line meet **two " straight lines, so as to make the two interior...continually produced, shall at length meet upon that " side** on which are the angles which are less than two right angles." Instead of this proposition, which,... | |
| John Radford Young - Geometry, Modern - 1833 - 240 pages
...straight line meet two straight lines so as to make the two interior angles on the same side \T> HAUM T> **of it, taken together, less than two right angles,...continually produced shall at length meet upon that side** on which are the angles which are less than two right angles. Let the straight line AB meet the iV... | |
| Euclid - 1835 - 540 pages
...X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. " **If a straight line meets two straight lines, so as...continually produced, shall at length meet upon that " side** on which are the angles which are less than two right " angles. See the notes on Prop. 29. of Book... | |
| Robert Simson - Trigonometry - 1835 - 544 pages
...X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. " **If a straight line meets two straight lines, so as...continually produced, shall at length meet upon that " side** on which are the angles which are less than two right " angles. See the notes on Prop. 29. of Book... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
..." 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,...continually " produced, shall at length meet upon that side** on which are the angles " which are leas than two right angles." Instead of this proposition, which,... | |
| John Playfair - Geometry - 1836 - 148 pages
...same distance from each other (Cor. 11. 2.), BC will then meet AB. Therefore, if a straight line meet **two straight lines, so as to make the two interior...continually produced, shall at length meet upon that side** on which are the angles, which are less thau two right angles. Which was to be proved. i PROP. XIV.... | |
| Euclides - 1838 - 264 pages
...admitted before he can proceed with his subject, and which he calls an Axiom, is as follows. AXIOM XII. **If a straight line meets two straight lines so as...continually produced, shall at length meet upon that side** on which are the angles which are less than two right angles. It is readily seen that this proposition... | |
| Robert Simson - Geometry - 1838 - 434 pages
...cannot enclose a space, XI. All right angles are equal to one another. XII. " If a straight line meet **two straight lines, so as to make the two . " interior...right angles, these straight lines being continually** pro" duced, shall at length meet upon that side on which are the angles " which are less than two right... | |
| Euclid - Geometry - 1838 - 470 pages
...enclose a space. XI. All right angles arc equal to one another. XII. •• If a straight line meet **two straight lines, so as to make the two " interior...right angles, these straight lines being continually** pro" duced, shall at length meet upon that side on which are the angles " which are less than two right... | |
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