| 1876 - 400 pages
...children of Henry L 3. How was the Great Charter obtained ? Mention some of its provisions. EUCLID. — 1. If at a point in a straight line, two other straight...lines shall be in one and the same straight line. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and... | |
| Edward Atkins - 1876 - 130 pages
...angles (Ax. 1). Therefore, the angles which one straight line, <tc. QED Proposition 14. — Theorem. If, at a, point in a straight line, two other straight...lines shall be in one and the same straight line. civcn At the point B in the straight line AB, let the two i ABD= straight lines BC, BD, upon tho ansiS?"... | |
| Henry Major - 1876 - 784 pages
...trapezium. What is the hypothesis, and what is the conclusion in the enunciation of the 5th proposition ? 2. If at a point in a straight line, two other straight...adjacent angles together equal to two right angles, then these two straight lines shall be in one and the same straight line. of the other, the base of... | |
| Euclides, James Hamblin Smith - Geometry - 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,... | |
| Elias Loomis - Conic sections - 1877 - 458 pages
...the conclusion is a consequence of the supposition. Prop. 3 might be enunciated thus : Hypothesis, if, at a point in a straight line, two other straight...adjacent angles together equal to two right angles, then, Conclusion, these two straight lines are in one and the same straight line. Proposition 3d is... | |
| 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... | |
| 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, James Hamblin Smith - Geometry - 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.... | |
| Moffatt and Paige - 1879 - 426 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...lines 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... | |
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