| Great Britain. Committee on Education - 1850
...GEOMETRY. Secfion 1. 1. 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.** 2. If one side of a triangle be produced, the exterior angle is greater than either of the two interior... | |
| 1850
...GEOMETRY. SECTION I. 1. 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.** 3. If two triangles have two sides of the one equal to two sides of the other, each to each, but the... | |
| Janet Taylor - 1851 - 621 sider
...INTRODUCTION. THEOREMS. Theorem 1. [Euclid i. 13.] If one line falls on another the angles it makes with it are **either two right angles, or are together equal to two right angles. Let** AB meet the line DC, then the angles CDB CDA taken together are equal to two right angles. For let... | |
| 1852
...TEACHERSEUCLID PAPER, I. 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.** II. In any right angled triangle, the square which is described upon the side subtending the right... | |
| Popular educator - 1852
...I., which asserts that the anglet which one straight line mates with anoiJier upon one side of it, **are either two right angles, or are together equal to two right** any/is. The proof of the latter proposition is very easy ; for by referring to figs. 12 and 13, it... | |
| Euclides - 1852
...angles. Let the straight line AB 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 be equal to ABD, Dcf. 10. each of them is a right a angle; 2 Ax. but, if not,... | |
| Euclid - 1853 - 136 sider
...PROPOSITION XIII. THEOREM. — Ifaftraight line (AB) standing upon another(GD) forms angles with it, they are **either two right angles, or are together equal to two right angles.** DEMONSTRATION. For if the line AB is E IA perpendicular to CD, the angles ABC and . / ABD are two right... | |
| Royal Military Academy, Woolwich - 1853
...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 to two right angles.** For" if the angle CBA be equal to t ABD, each of them isa right (10 Def.) angle ; but if not, from... | |
| Euclides - 1853
...angles. Let the straight line AB 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.** . K t) BCDBC For, if the angle CBA be equal to ABD, each of them is a right angle (Def. 10.). But if... | |
| Euclides - 1853
...this case the angles ABC, ABD are together equal to two right angles. Hence the angles ABC, ABD are **either two right angles, or are together equal to two right angles.** Which was to be proved. PEOP. XIV. THEOE. If at a point in a straight line, two other straight lines,... | |
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