| 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 - 478 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 - 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 - 320 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 - 544 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 - 380 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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