 | War office - 1858 - 578 pages
...9. Extract the square root of (1) 49084036 (2) 901. •• Euclid. 1. The angles which one straight line makes with another upon one side of it, are either...angles, or are together equal to two right angles. 2. The straight lines which join the extremities of two equal and parallel straight lines towards the... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...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 angle ABC is equal to ABD, each of them is a right angle (Def. 10) ; but c K D if not, suppose... | |
 | Euclides - 1858 - 248 pages
...— Ax. 4. If equals be added to unequals, the wholes are unequal. P. 13. The angles which one st. line makes with another upon one side of it are either two rt. angles, or are together equal to two rt. angles. Ax. 12. If a st. line meets two st. lines, so... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...9*. 6</. a square yard. Euclid. 1. Define a right angley and show that the angles which one straight line makes with another upon one side of it, are either...angles, or are together equal to two right angles. 2. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...a right angle, an acute-angled triangle, a trapezium, a rectangle. 3. The angles which one straight line makes with, another upon one side of it, are...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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...been drawn to the given straight line AB. QEF PROPOSITION XIH. THEOREM. The angles which one straight line makes with another upon one side of it, are either...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. Then these shall be... | |
 | Popular educator - 1860 - 424 pages
...anglet; 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... | |
 | Euclides - 1860 - 288 pages
...straight line AB making with CD, upon one side of it, the angles CBA and ABD ; to prove that these are either two right angles, or are together equal to two right angles. (Dem.) For, if the angle CBA be equal to ABD, each of them is a right angle (Def. 11); but, if 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... | |
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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. 
