| 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...lines shall be in one and the same straight line.** G'ABC+ ^ tlle P0"1t B in the straight line AB, let the two / ABD= straight lines BC, BD, upon the opposite... | |
| 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...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 - 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... | |
| Euclides - 1874 - 120 pages
...lines BG and BH 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 opposite sides of it, make the adjacent angles together equal to twi rigid angles, these two... | |
| 1876 - 400 pages
...children of Henry L 3. How was the Great Charter obtained ? Mention some of its provisions. EUCLID. — 1. **If at a point in a straight line, two other straight...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... | |
| Edward Atkins - 1876 - 130 pages
...angles (Ax. 1). Therefore, the angles which one straight line, <tc. QED Proposition 14. — Theorem. **If, at a, point in a straight line, two other straight...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?"... | |
| Henry Major - 1876 - 784 pages
...trapezium. What is the hypothesis, and what is the conclusion in the enunciation of the 5th proposition ? 2. **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. of the other, the base of... | |
| 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,... | |
| |