| 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...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 straight lines BC, BD, / upon... | |
| 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... | |
| 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... | |
| 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... | |
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