| Euclides - 1816 - 588 pàgines
...I.. Let the straight line AB make with CD, upon one side v-*"V-' of it, the angles CBA> ABD : these are either two right angles, or are together equal to two right angles. • * For if the angle CB A be equal to ABD, each of them is a % A ' E DB D B C 1 Def. 10. right4 angle;... | |
| Euclid, Robert Simson - 1821 - 514 pàgines
...done. 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...angles, or are together equal to two right angles. PROP. XVI. THEOR. IF one side of a triangle be produced, the exterior angle is greater than either... | |
| Euclides - 1821 - 294 pàgines
...former (per 8th ) PROP. 13, THEOR. WTten a right line standing upon another makes angles with it, they are either two right angles or are together equal to two right angles, If the right line standing on the other be perpendicular to it, the angles are both right ; if not,... | |
| Peter Nicholson - 1825 - 1046 pàgines
...it, are either two right angles, orare together equal to two right angles. angles СВЛ, ABD ; these are either two right angles, or are together equal to two right angles. For if the angle CBA be equal to ABD, each of them i« a right (Def. 10.) angle ; but; if not',' from... | |
| George Lees - 1826 - 276 pàgines
...is called a perpendicular to it. •D OF GEOMETRY. with another CD, upon one side of it, are eitlier two right angles, or are, together, equal to two right angles. For, if AB be perpendicular to CD, then each of the angles ABC, ABD, is a right angle ; and, therefore, are,... | |
| Robert Simson - 1827 - 546 pàgines
...be dbne. PROP. 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...CD, upon one side of it, the angles CBA, ABD: these shall either be two right angles, or shall together be equal to two right angles. For if the angle... | |
| Euclid, Robert Simson - 1829 - 548 pàgines
...done. 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...angles CBA, ABD ; these are either two right angles, of are together equal to two right angles. For, if the angle CBA be equal to ABD, each of them is a... | |
| John Playfair - 1829 - 210 pàgines
...PROPOSITION XIII. THEOREM. The two angles which one straight line makes with another, on one side of it, are together equal to two right angles* Let the straight line AB make with CD, on one side of CD, the angles ABC, ABD; these are together equal to two right angles. r D B £T B G... | |
| Pierce Morton - 1830 - 584 pàgines
...Spherical Triangles. ' PROP. 8. The angles which one spherical arc make* with another upon one fide of it are either two right angles, or are together equal to two right angles. See the Demonstration of Book I. Prop. 2. Cor. 1 . If two spherical arcs cut one another, the vertical... | |
| Euclides - 1834 - 518 pàgines
...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...CD, upon one side of it, the angles CBA, ABD : these shall either be two right angles, or shall together be equal to two right angles. For if the angle... | |
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