| 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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