 | Elias Loomis - Conic sections - 1861 - 244 pages
...equal to that of the two adjacent angles BAD, DAF. PROPOSITION III. THEOREM (Converse of Prop. //.). 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 - 1862 - 172 pages
...therefore the angles DBA, ABC, are together equal to two right angles, (ax. 1.) PROP. XIV.— THEOREM. 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. (References — Prop. i.... | |
 | Euclides - 1862 - 140 pages
...angles, (ax. 1.) 7. 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; 8. Therefore KH is in the same straight line with HM. (I. 14.) 9. And because the straight line HG... | |
 | University of Oxford - Education, Higher - 1863 - 328 pages
...line perpendicular to a given straight line of unlimited length, from a given point without it. 3. If, at a point in a straight line, two other straight...lines shall be in one and the same straight line. 4. At a given point in a given straight line, make a rectilineal angle equal to a given rectilineal... | |
 | Euclides - 1864 - 448 pages
...equal to two right angles(ax. 1.) Wherefore, when a straight line, &o. QED PROPOSITION XIV. THEOREM. If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjavent angles together equal to two right angles ; then these two straight lines shall be in one... | |
 | Euclides - 1864 - 262 pages
...lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles ; then 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 lines BC, BD upon the opposite sides of AB, make the adjacent... | |
 | Euclides - 1865 - 402 pages
...equal to two right angles, (ax. 1.) Wherefore when a straight line, &c. QED PROP. XIV.— THEOREM. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, mahe the adjacent angles together equal to two right angles, then these two straight lines shall be... | |
 | Robert Potts - 1865 - 528 pages
...QBD PROPOSITION XIV. THEOREM. lf at a paint in a straight line, two other straight lines, upon tha opposite sides of it, make the adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line. At the point B in the straight... | |
 | Euclides - 1865 - 80 pages
...straight line, and on the same side of it, are together equal to two right angles. PROPOSITION VI. THEOR. If at a point in a straight line two other straight lines on the opposite sides of it make the adjacent angles together eqnal to two right angles, these two... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...angles. F 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... | |
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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. 
