 If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.  Euclid, books i. & ii., with notes, examples, and explanations, by a late ... - Page 32by Euclides - 1879Full view - About this book
 | John Playfair - Geometry - 1836 - 148 pages
...is equal to the remaining angle CBD ; and therefore BE coincides with BC. Therefore, if from a point in a straight line, two other straight lines on the...right angles, these two straight lines shall be in the same straight line. Which was to be proved. PROP. III. THEOR. If two straight lines cut one another,... | |
 | Mathematics - 1836 - 488 pages
...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 lines are in one and the same straight line. XV. If two straight lines cut one another, the vertical, or... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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...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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...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...lines shall be in one and the same straight line. Steps of the Demonstration. Suppose that BD is not in the same st. line with BC, but that BE is in... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...angles. PROPOSITION XIY. THEOREM. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...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... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...angles DBA, ABC. PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...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... | |
 | Charles Reiner - Geometry - 1837 - 246 pages
...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 - Geometry - 1838 - 470 pages
...line, two other straight lines, upon the opposite sides of it, make the adjacent angles together etlual to two right angles, these two straight lines shall be in one and the same straight line. n At the point B in the straight line AB, let the two straight lines BC, BD upon the opposite sides... | |
 | Euclides - Geometry - 1841 - 378 pages
...angles, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...shall be in one and the same 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,... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...angles DBA, ABC. PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...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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