| Robert Potts - Geometry, Plane - 1876 - 446 pages
...opposite sides of it, mate the adjacent angles together equal to two right angles ; then these too **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 ofAB, make the adjacent... | |
| 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...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... | |
| 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...shall be in one and the same straight line. At the** pt. B in the st. line AB, let the two st. lines BC, BD on the opposite sides of AB, make the adj. £_... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...of the bisections of the interior and exterior angles at the base are in the same straight line. 14. **If at a point in a straight line two other straight lines, upon the opposite** side of it, make the adjacent angles together equal to two right angles ; then these two straight lines... | |
| Euclides, James Hamblin Smith - 1879 - 376 pages
...COMPLEMENT of the other. Thus, in fig. 2, L ABD is the complement of / ABE. PROPOSITION XIV. THEOREM. **If, at a point in a straight line, two other straight lines, upon** tht opposite sides of it, make the adjacent angles together equal to two right angles, these two straight... | |
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