| Euclides - 1852 - 152 sider
...I. PROP. XIII. THEOR. The angles which one straight line makes with another upon the one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD: these are either two... | |
| Popular educator - 1852 - 842 sider
...I., which asserts that the anglet which one straight line mates with anoiJier upon one side of it, are either two right angles, or are together equal to two right any/is. The proof of the latter proposition is very easy ; for by referring to figs. 12 and 13, it... | |
| Royal Military Academy, Woolwich - 1853 - 400 sider
...PROPOSITION XIII. THEOR. The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal...two right angles. For" if the angle CBA be equal to t ABD, each of them isa right (10 Def.) angle ; but if not, from the point B draw BE at right angles... | |
| Euclides - 1853 - 146 sider
...two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD; these are either two right angles, or are together equal to two right angles. . K t) BCDBC For, if the angle CBA be equal to ABD, each of them is a right angle (Def. 10.). But if... | |
| Euclid - 1853 - 176 sider
...PROPOSITION XIII. THEOREM. — Ifaftraight line (AB) standing upon another(GD) forms angles with it, they are either two right angles, or are together equal to two right angles. DEMONSTRATION. For if the line AB is E IA perpendicular to CD, the angles ABC and . / ABD are two right... | |
| Euclides - 1853 - 176 sider
...PROPOSITION XIII. — THEOREM. The angles which one straight line makes with another upon one side of it are either two right angles, or are together equal to two right angles. LET the straight line ab make with cd, upon one side of it, the angles cba, abd : these are either... | |
| Euclides - 1853 - 334 sider
...in this case the angles ABC, ABD are together equal to two right angles. Hence the angles ABC, ABD are either two right angles, or are together equal to two right angles. Which was to be proved. PEOP. XIV. THEOE. If at a point in a straight line, two other straight lines,... | |
| William Somerville Orr - 1854 - 534 sider
...XIII.— THEOREM. T!te angles which one straight line (AB) makes with another (DC) upon me side of it, are either two right angles, or are together equal to two right anglet. For the angle А В С is either equal to ABD, or it is not. * Def. 8. If AB С be = AB D,... | |
| John Playfair - 1855 - 334 sider
...two right angles. Let the straight line AB make with CD, upon one side of it the angle* CB A, ABD ; these are either two right angles, or are together...angles. For, if the angle CBA be equal to ABD, each of th«m is a right angle (Def. 7.); but, if not, from the point B draw BE at right angles (11. 1.) EA... | |
| Euclides - 1855 - 270 sider
...it. PROP. XIII. THEOREM. The angles which one straight line maíces with another upon one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with СD, upon one side of it, the two angles С BA, A 3 D. The*e angles... | |
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