 | Henry William Watson - Geometry - 1871 - 320 pages
...that die angle AEC is equal to the angle BED. PROPOSITION 13. If at a point in a straight line two straight lines on opposite sides of it make the adjacent angles together equal to two right angles, or make the vertically opposite angles equal to one another, these two straight lines shall be in one... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...equal to that of ihe two adjacent angles BAD, DAF B~ PROPOSITION in. THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight lines, upon me opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
 | Euclides - 1871 - 136 pages
...each is called the SUPPLEMENT of the other. Thus, in both figures, L ABD is the supplement of / ABC. 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... | |
 | 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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
 | 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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these 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... | |
 | 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...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... | |
 | 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 straight... | |
 | 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, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
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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. 
