 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, books i. & ii., with notes, examples, and explanations, by a late ... - Page 32by Euclides - 1879Full view - About this book
 | Euclides - 1874 - 120 pages
...show that the angle GBH will in each case be a right angle. PROPOSITION 14. THEOREM. If, at a point in a straight line, two other straight lines, on the...of it, make the adjacent angles together equal to twi rigid angles, these two straight lines shall be in one and the same straight line. * ' • At the... | |
 | Edward Atkins - 1874 - 428 pages
...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 line. At the point B in the straight line AB, let the two straight lines BC, BD, upon the opposite sides of ABj... | |
 | 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...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... | |
 | Edward Atkins - 1874 - 426 pages
...angles (I. 29); 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, KHM is a Therefore KH is in the same straight line with HM (1. 14). straight ^n(j kecause the straight... | |
 | Euclides - 1874 - 342 pages
...&c. QED PROPOSITION 14. — 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, then these two straight lines shall be in one and the same straight line. At the point B in the straight... | |
 | Edward Atkins - 1876 - 130 pages
...QED Proposition 14. — Theorem. If, at a, point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...lines shall be in one and the same straight line. civcn At the point B in the straight line AB, let the two i ABD= straight lines BC, BD, upon tho ansiS?"... | |
 | 1876 - 400 pages
...of its provisions. EUCLID. — 1. If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles...lines shall be in one and the same straight line. 2. If two triangles have two angles of the one equal to two angles of the other, each to each, and... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...sides of it, make the adjacent angles together equal to two right angles, these two straight lines must be in one and the same straight line. At the pt. B in the st. line AB let the st. lines BC, BD, on opposite sides of AB, make L s ABC, ABD together=two rt. angles. Then BD must... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...ABC. PROPOSITION XIV. THEOREM. If, at a point in a straight line, two other straight Unes, upon flu', opposite sides of it, make the adjacent angles together...equal to two right angles, these two straight lines must be in one and the same straight line. At the pt. B in the st. line AB let the st. lines BC, BD,... | |
 | Henry Major - 1876 - 784 pages
...enunciation of the 5th proposition ? 2. 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, then these two straight lines shall be in one and the same straight line. of the other, the base of... | |
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