| Euclides - 1853 - 146 σελίδες
...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...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... | |
| Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...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 - 178 σελίδες
...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 σελίδες
...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,... | |
| Euclid - 1853 - 176 σελίδες
...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... | |
| William Somerville Orr - 1854 - 534 σελίδες
...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,... | |
| Euclides - 1855 - 262 σελίδες
...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... | |
| Cambridge univ, exam. papers - 1856 - 200 σελίδες
...isosceles triangles. 2. 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. 3. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to... | |
| Henry White - 1856 - 178 σελίδες
...reciprocal proportion. 17 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. 18 Divide a straight line into two parts, so that the rectangle contained by the whole and ono of the... | |
| Elias Loomis - 1857 - 242 σελίδες
...straight line makes w^tk another, one side of it, are either two right angles, or are together equJ< to two right angles. Let the straight line AB make with CD, upon one side of it, the angles ABC, ABD; these are either two right angles, or are together equal to two right angles. For if the... | |
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