 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.  Elements of Geometry and Conic Sections - Page 15by Elias Loomis - 1849 - 226 pagesFull view - About this book
 | 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 - 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...equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight... | |
 | 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...straight lines are 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... | |
 | 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...equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight... | |
 | 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...equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in the straight line AB, let the two straight... | |
 | Scottish school-book assoc - 1845 - 444 pages
...two other straight lines, CB and BD, on opposite sides of AB, make the adjacent angles ABC and ABD together equal to two right angles, these two straight lines are in one and the same straight line. For if BD be not in the same | with CB, let BE be in the same | with it ; then since CBE is a |, and... | |
 | 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...angles ; because their sum is equal to that of the two adjacent angles DBA, ABC. PROP. XIV. THEOR. //, at a point in a straight line, two other straight...straight lines are 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... | |
 | Great Britain. Committee on Education - Education - 1846 - 434 pages
...equations 4 x + 3 7 x — 29 _ 8 a: + 19 ' 9 *~ 5 x - 12 "" IS 8. " Prove that if at a point in a given straight line two other straight lines upon the opposite...straight lines are in one and the same straight line." 9. The wages of a servant were 40/. yearly and a suit of livery. After he had served five months he... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
.../_», .'. Z DBA + L ABC = 2 rt. L s. Ax ' '• Therefore the angles, &c. PROP. XIII. THEOR. 14. 1 Eu. If at a point in a straight line, two other straight...equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in AB let BC, BD, on the oppo. sides of... | |
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