| 1836 - 488 σελίδες
...another upon one side of it, are either two right angles, or are together equal to two right angles. XIV. If, at a point in a straight line, two other straight lines, upon the op. posite sides of it, make the adjacent angles together equal to two right angles, these two straight... | |
| John Playfair - 1836 - 148 σελίδες
...makes with another on the same side of it, are together equal to two right angles. PROP. II. THEOR. If, at a point in a straight line, two other straight lines on the opposite sides of it make the adjacent angles together equal to two right angles, these two... | |
| John Playfair - 1837 - 332 σελίδες
...angles ; because their sum is equal to that of the two adjacent angles DBA, ABC. PROP. XIV. THEOR. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines are in one and the same straight line. At the point B in the straight line AB, let the two straight... | |
| Andrew Bell - 1837 - 290 σελίδες
...angles, are equal to one another ; that is, x = m-\-nx = two right angles. PROPOSITION XIY. THEOREM. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines shiill be in one and the same straight line. At the point B in the straight line AB, let the two straight... | |
| Euclides - 1837 - 112 σελίδες
...3. that Zs DBA + ABC = the two rt. Zs CBE + EBD. PROPOSITION XIV. (Argument ad absurdum). Theorem. If, at a point in a straight line, two other straight lines on opposite sides of it make the adjacent angles together equal to two right angles, these two straight... | |
| Charles Reiner - 1837 - 246 σελίδες
...which are these interior angles. 24. If, at one point in a straight line, two other straight lines make the adjacent angles, together, equal to two right angles, these two lines are in the same straight line. SECTION III. ONE TRIANGLE. M. — State all you have learnt concerning... | |
| Euclid, James Thomson - 1837 - 410 σελίδες
...any number of lines meeting in one point, are together equal to four right angles. PROP. XIV. THEOR. IF, at a point in a straight line, two other straight lines on the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
| Euclides - 1838 - 264 σελίδες
...of it, 'make tlic adjacent angles together equal to two right angles, these tiro straight line • shall be in one and the same straight line. At the point B in the straight line AB, let the two straight lines BC, BD upon the opposite sides of AB, make the adjacent angles ABC,... | |
| Euclides - 1841 - 378 σελίδες
...therefore DBA, ABC are together equal to two right angles. Wherefore, the angles, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight...straight line. At the point B in the straight line AB, let the two straight lines ( A BC, BD upon the opposite sides of AB, make the adjacent angles ABC,... | |
| John Playfair - 1842 - 332 σελίδες
...angles ; because their sum is equal to that of the two adjacent angles DBA, ABC. PROP. XIV. THEOR. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines are in one and the same straight line. At the point B in the straight line AB, let the two straight... | |
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