| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...ABC are together equal to two right angles. Wherefore, the angles &c. QEP PROPOSITION 14. THEOREM. **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... | |
| Robert Potts - 1868 - 434 pages
...equal to two right angles, (ax. 1.) Wherefore, when a straight line, &c. QED PROPOSITION XIV. THEOREM. **If at a point in a straight line, two other straight...it, make the adjacent angles together equal to two** rig/it angles ; then these two straight lines shall be in one and the same straight line. At the point... | |
| Euclides - 1870 - 270 pages
...Recap. PROP. 14.— THEOB. If at a point in a st. line, two other lines, upon ike opposite sides oj **it, make the adjacent angles together equal to two right angles, these two** lines shall be in one and the same Line. CONS. — Pst. 2. A straight line may be produced to any length... | |
| Euclides - 1871 - 136 pages
...each is called the SUPPLEMENT of the other. Thus, in both figures, L ABD is the supplement of / ABC. **If, at a point in a straight line, two other straight...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,... | |
| Henry William Watson - Geometry - 1871 - 320 pages
...AEC is equal to the angle BED. PROPOSITION 13. If at a point in a straight line two straight lines on **opposite sides of it make the adjacent angles together equal to two right angles,** or make the vertically opposite angles equal to one another, these two straight lines shall be in one... | |
| Elias Loomis - Geometry - 1871 - 302 pages
...equal to that of ihe two adjacent angles BAD, DAF B~ PROPOSITION in. THEOREM (Converse of Prop. II.). **If, at a point in a straight line, two other straight lines, upon** me opposite sides of it, make the adjacent angles together equal to two right angles, these two straight... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...SUPPLEMENT of the other. Thus, in both figures, / ABD is the supplement of / ABC. PROPOSITION XIV. THEOREM. **If, at a. point in a straight line, two other straight...equal to two right angles, these two straight lines** must be $n_ one and the same straight line. At the pt. B in the st. line AB let the st. lines BC, BD,... | |
| William Frothingham Bradbury - Geometry - 1872 - 124 pages
...; therefore the sum of all the angles at the point B is equal to four right angles. THEOREM II. 10. **If at a point in a straight line two other straight lines** iipon opposite sides of it make the sum, of the adjacent angles equal to two right angles, these two... | |
| Henry Major - Student teachers - 1873 - 592 pages
...; but CBE, EBD, two right angles ; therefore DBA, ABC, are toei equal to two right angles. XlV. — **If, at a point in a straight line, two other straight...these two straight lines shall be in one and the same** straigJit line. At the point B in the straight line A AB, let the two straight lines BC, BD, / upon... | |
| William Frothingham Bradbury - Geometry - 1873 - 292 pages
...therefore the sum of all the angles at the point B is equal to four right angles. THEOREM II. 10« **If at a point in a straight line two other straight lines upon** opposite sides of it make the sum of the adjacent angles equal to two right angles, these two lines... | |
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