 Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. 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...  Elements of Geometry and Conic Sections - Page 15by Elias Loomis - 1857 - 226 pagesFull view - About this book
 | Euclides - 1855 - 270 pages
...added to this proposition by Euclid, are included in those now added to Prop. XIII. Exercise 1. — If at a point in a straight line two other straight lines meet upon the opposite sides of it, and make the vertical or opposite angles equal, these two straight... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...side of it, are either two right angles, or are together equal to two right angles. The 14th, Book I. If at a point in a straight line, two other straight...equal to two right angles, these two straight lines shall be in one and the same straight line. The 15th, Book I. If two straight lines cut one another,... | |
 | Euclides - 1858 - 248 pages
...its sides equal, and its angles rt. angles. P. 14. If at a point in a st. line two other st. lines on the opposite sides of it make the adjacent angles together equal to two rt. angles, these two lines shall be in one and the same st. line. Ax. 1. Things equal to the same... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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...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... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...one another, and likewise ^ those which are terminated in the other extremity. (Second case only.) 3. If at a point in a straight line, two other straight...opposite sides of it make the adjacent angles together .jequal to two right angles, these two straight lines shall be in one and the same straight line. 4.... | |
 | Euclides - 1860 - 288 pages
...angles be equal .i to one of another pair, the remaining angles must be equal. PROPOSITION Xrv. THEOREM. If, at a point in a straight line, two other straight lines, upon tlie 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 - 316 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...equal to two right angles, these two straight lines shall be in one and the same straight line. 4. At a given point in a given straight line, make a 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... | |
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