| Pierce Morton - Geometry - 1830 - 584 pages
...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... | |
| John Playfair - Euclid's Elements - 1833 - 346 pages
...to be done. PROP. XIII. THEOR. The angles which one straight line makes with another upon one tide **of it, are either two right angles, or are together...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. For, if the angle CBA... | |
| Euclides - 1834 - 518 pages
...AB. Which was to be done. PROPOSITION XIII. THEOR. — The angles which one straight line makes with **another upon one side of it, are either two right...with 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... | |
| Robert Simson - Trigonometry - 1835 - 544 pages
...Hliich was to be 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...the straight line AB make with CD, upon one side of** Book I. it, the angles CBA, ABD; these are either two right angles, v— -v*-' or are together equal... | |
| Mathematics - 1835 - 684 pages
...demonstrated. PROP. 2. (Eue. i. 13 & 14.) The adjacent angles, which on» straight line makes with **another upon, one side of it, are either two right...angles, or are together equal to two right angles:** and, conversely, if the adjacent angles, which one straight line makes with two others at the same... | |
| Euclid - 1835 - 540 pages
...Which was to be 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 to two right angles.** E i. eS. 1. Let the straight line AB make with CD, upon one side of Book I. it, the angles CBA, ABD... | |
| Mathematics - 1836 - 366 pages
...triangular bases, and are equal to one another. 1832 14. 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.** 1 5. Draw a straight line from a given point either without or in the circumference which shall touch... | |
| Mathematics - 1836 - 488 pages
...angle contained by the two sides of the other. XIII. 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.** XIV. If, at a point in a straight line, two other straight lines, upon the op. posite sides of it,... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...perpendicular to AB (Def. 10). PROPOSITION Xm. THEOREM. The angles which one straight line makes with **another upon one side of it, are either two right...with CD, upon one side of it, the angles CBA, ABD** ; these are either two right angles, or are together equal to AEA two right angles. For, if the angle... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...done. PROP. XIII. THEOR. THE angles which one straight line makes with another upon the one side of it, **are together equal to two right angles. Let the straight...with CD, upon one side of it, the angles CBA, ABD;** these are together equal to two right angles. For, if the angle CBA be equal AKA to ABD, each of them... | |
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