 | 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 angle«. 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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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 shall either be... 
