 | Charles Reiner - Geometry - 1837 - 246 pages
...which are these interior angles. 24. If, at one point in a straight line, two other straight lines make the adjacent angles, together, equal to two right angles, these two lines are in the same straight line. SECTION III. ONE TRIANGLE. M. — State all you have learnt concerning... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...3. that Zs DBA + ABC = the two rt. Zs CBE + EBD. PROPOSITION XIV. (Argument ad absurdum). Theorem. If, at a point in a straight line, two other straight lines on opposite sides of it make the adjacent angles together equal to two right angles, these two straight... | |
 | Euclid - Geometry - 1838 - 470 pages
...are together equal to two right angles. Wherefore, when a straight line, &c. Q,. ED PROP. XIV. THEOR. IF, at a point in a straight line, two other straight...opposite sides of it, make the adjacent angles together etlual to two right angles, these two straight lines shall be in one and the same straight line. n... | |
 | Euclides - 1838 - 264 pages
...of it, 'make tlic adjacent angles together equal to two right angles, these tiro straight line • 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 AB, make the adjacent... | |
 | Euclides - Geometry - 1841 - 378 pages
...therefore DBA, ABC are together equal to two right angles. Wherefore, the angles, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight...one and the same straight line. At the point B in the straight line AB, let the two straight lines ( A BC, BD upon the opposite sides of AB, make the... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...angles ; because their sum is equal to that of the two adjacent angles DBA, ABC. PROP. XIV. THEOR. If, at a point in a straight line, two other straight...equal to two right angles, these two straight lines are in one and the same straight line. At the point B in the straight line AB, let the two straight... | |
 | Euclides - 1842 - 316 pages
...any number of lines meeting in one point, are together equal to four right angles. PROP. XIV. THEOR. straight lines shall be in one and the same straight line. At the point в in the straight line AB, let the two straight lines вc, BD upon the opposite sides of AB make the... | |
 | Euclides - 1845 - 546 pages
...to two right angles, (ax. 1.) Wherefore when a straight line, &c. QE ». PROPOSITION XIV. THEOREM. If at a point in a straight line, two other straight...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 AB, make the adjacent... | |
 | Euclid - Geometry - 1845 - 218 pages
...together equal to two right angles. Wherefore, when a straight line, &c. QED PROPOSITION XIV. THEOR. — If, at a point in a straight line, two other straight...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 AB, make the adjacent... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...it but BD, which therefore is in the same straight line with CB. Wherefore, if at a point, &c. Cor. If, at a point in a straight line, two other straight lines meet on the opposite sides of it, and make equal angles with the parts of it on opposite sides of the... | |
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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. 
