 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, 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 - 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...equal to two right angles, 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... | |
 | William Frothingham Bradbury - Geometry - 1873 - 288 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... | |
 | William Frothingham Bradbury - Geometry - 1873 - 132 pages
...; therefore the sum of all the angles at the point B is equal to four right angles. THEOEEM II. 10i 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... | |
 | Edward Atkins - 1874 - 426 pages
...angles (Ax. 1). Therefore, the angles which one straight line, &c. QED Proposition 14. — Theorem. 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. G'ABC+ ^ tlle P0"1t B in the straight line AB, let the... | |
 | Euclides - 1874 - 342 pages
...angles (Ax. 1). Wherefore, the angles which one straight line, &c. QED PROPOSITION 14. — 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... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...produce CB to X, PROPOSITION X. If two straight lines, drawn from one extremity of a straight line on opposite sides of it, make the adjacent angles together...equal to two right angles, these two straight lines shall l>e in one and the same straight line. Let BC, BD drawn from B one extremity of AB make the adjacent... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...— If tJie adjacent angles which one straight line makes with two others on opposite sides of it be together equal to two right angles, these two straight lines are in one straight line. If the adjacent angles DCA and DCB, which DC makes with AC and BC, be together equal... | |
 | Edward Atkins - 1874 - 428 pages
...line. .'. z ABE = i ABD. Proposition 14. — Theorem. If, at a point in a straight line, two ot/ier straight lines, upon the opposite sides of it, make the adjacent angles toget/ier equal to two right angles, these two straight lines shall be in one and the same straight... | |
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