 | John Playfair - 1836 - 114 σελίδες
...makes with another on the same side of it, are together equal to two right angles. PROP. II. THEOR. If, at a point in a straight line, two other straight...adjacent angles together equal to two right angles, these two straight lines shall be in the same straight line. At the point B in the straight line BD,... | |
 | 1836 - 472 σελίδες
...another upon one side of it, are either two right angles, or are together equal to two right angles. XIV. If, at a point in a straight line, two other straight lines, upon the op. posite sides of it, make the adjacent angles together equal to two right angles, these... | |
 | Euclides - 1837 - 112 σελίδες
...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 - 1837 - 410 σελίδες
...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... | |
 | Andrew Bell - 1837 - 240 σελίδες
...angles, are equal to one another ; that is, x = m-\-nx = two right angles. PROPOSITION XIY. 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... | |
 | Euclides - 1841 - 378 σελίδες
...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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
 | John Playfair - 1842 - 332 σελίδες
...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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
 | Euclid - 1845 - 218 σελίδες
...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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
 | Euclides - 1845 - 544 σελίδες
...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 lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two... | |
 | Euclid, James Thomson - 1845 - 380 σελίδες
...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. 
