 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 - Page 31by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...BC 1C HM And because at the point H in the straight line GH, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles, KH is in the same straight line with HM. [I. 14. And because the straight line HG meets the parallels... | |
 | 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 straight... | |
 | 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 lines, upon the opposite sides of it, make the adjacent angles together equal to two rig/it angles ; then... | |
 | 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... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...that die angle 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... | |
 | 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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
 | 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... | |
 | 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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
 | Henry Major - Student teachers - 1873 - 588 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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
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