| Robert Potts - Geometry, Plane - 1860 - 380 pages
...given straight line AB. QEF PROPOSITION XIH. THEOREM. The angles which one straight line makes with **another upon one side of it, are either two right...or, shall be together, equal to two right angles.** £ A For if the angle CBA be equal to the angle ABD, each of them is a right angle, (def. 10.) But... | |
| Royal college of surgeons of England - 1860 - 332 pages
...acute-angled triangle, a trapezium, a rectangle. 3. 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.** 4. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the... | |
| Euclides - 1860 - 288 pages
...which was required to be done. 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.** '.- Given the straight line AB making with CD, upon one side of it, the angles CBA and ABD ; to prove... | |
| Popular educator - 1860 - 424 pages
...and from Prop. XIII., Book I., which asserts that the anglei "/in-/, one straight line ma/tes with **another upon one side of it, are either two right angles, or are together equal to two right** angleĞ. The proof of the latter proposition is very easy ; for by referring to figs. 12 and 13, it... | |
| S. M. Saxby - Nautical astronomy - 1861 - 140 pages
...may here be introduced with advantage. Book I. XIII. — The angles which one right line makes with **another upon one side of it, are either two right angles, or are together equal to two right angles.** Departing from the precise language of absolute and complete proof (for obvious reasons), we may say... | |
| Elias Loomis - Conic sections - 1861 - 244 pages
...straight line makes w^th another,upon one side of it, are either two right angles, or are together io **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. A B *f not,... | |
| War office - 1861 - 714 pages
...the square root of '00497025. EL-GLIB. i. 1. The angles which one straight line makes with another on **one side of it are either two right angles or are together equal to two right angles.** 2. If a straight line be divided into any two parts, the square on the whole line is equal to the squares... | |
| Elias Loomis - Conic sections - 1861 - 254 pages
...angles are equal to each other. PROPOSITION II. THEOREM. The angles which one straight line makes w'th **another, upon one side of it, are either two right angles, or are together** lo two right angles. Let the straight line AB make with CD, upon one side of it, the angles ABC, ABD... | |
| Euclides - 1862 - 172 pages
...been drawn from the point CQEF PROP. 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.** (References— Prop. i. 11; ax. 1, 2; def. 10.) Let the straight line AB make with CD, upon one side... | |
| S. M. Saxby - Marine engines - 1862 - 200 pages
...may here be introduced with advantage. Book I. XIII. — The angles which one right line makes with **another upon one side of it are either two right angles or are together equal to two right angles.** Departing from the precise language of absolute and complete proof (for obvious reasons), we may say... | |
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