 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.  Elements of Geometry and Conic Sections - Page 15by Elias Loomis - 1849 - 226 pagesFull view - About this book
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...ABC. PROPOSITION XIV. THEOREM. If, at a point in a straight line, two other straight Unes, upon flu', opposite sides of it, make the adjacent angles together...equal to two right angles, these two straight lines must be in one and the same straight line. At the pt. B in the st. line AB let the st. lines BC, BD,... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...to two right angles. THEOR. 3. If the adjacent angles made by one straight line with two others are together equal to two right angles, these two straight lines are in one straight line, THEOR. 4. If two straight lines cut one another, the vertically opposite angles are... | |
 | Euclides - 1877 - 58 pages
...D, and the angle BAD be bisected by AF ; shew that EAF is a right angle. PROPOSITION XIV. THEOREM. If at a point in a straight line two other straight...the opposite sides of it make the adjacent angles togetlier equal to two right angles, these two straight lines shall be in one and the same straight... | |
 | Edward Atkins - 1877 - 72 pages
...angles (Ax.1). And because at the point H, in the straight lino Gil, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles, KHM is a Therefore KH is in the same straight line with HM (I. 14). ttra.jrht ^n(j Because the straight... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...conclusion of the 3d is tho hypothesis in the 2d. Proposition 2d may be enunciated thus : Hypothesis, if, at a point in a straight line, two other straight lines upon opposite sides form but one straight line, then. Conclusion, the two adjacent angles are together equal... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...therefore the sum of all the angles at the point B is equal to four right angles. THEOREM III. 471 7f at a point in a straight line two other straight line.s upon opposite sides of it make the sum of the adjacent angles equal to two right angles, these two lines... | |
 | Euclides - 1878 - 398 pages
...SUPPLEMENT of the other. Thus, in both figures, / ABD is the supplement of L ABC. PROPOSITION XIV. THEOREM. If, at a point in a straight line, two other straight...the opposite sides of it, make the adjacent angles togetlwr equal to two right angles, these two straight lines must be in one and the same straight line.... | |
 | James Maurice Wilson - 1878 - 450 pages
...two right angles. QED THEOREM 3. If the adjacent angles made by one straight line with two others are together equal to two right angles, these two straight lines are in one straight line*. Part. En. Let the adjacent angles DBA, DBC made by BD with the two straight lines BA,... | |
 | Moffatt and Paige - 1879 - 428 pages
...two right angles. Therefore, the angles which one straight line, etc. QED Proposition XIV. Theorem. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight... | |
 | Euclides - 1879 - 146 pages
...right angle. PROPOSITION XIV. THEOREM. If at a feint in a straight line, two other straight lines, on the opposite sides of it, make the adjacent angles...equal to two right angles ; these two straight lines shall be in one and the same straight line. At the pt. B in the st. line AB, let the two st. lines... | |
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