 | 1850 - 488 sider
...Order of Jesuits. 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... | |
 | 1852 - 316 sider
...PAPER FOR PUPIL 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... | |
 | Janet Taylor - 1851 - 674 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... | |
 | 582 sider
...towns. EUCLID. Prop. xiii. The anglrs 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. Prop, vi If two angles of a triangle be equal to each other, the sides also which subtend, or are opposite... | |
 | Popular educator - 1852 - 842 sider
...Prop. XIII., Book 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 - 152 sider
...right 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,... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...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 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... | |
 | Euclid - 1853 - 176 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... | |
 | Euclides - 1853 - 334 sider
...in 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,... | |
 | Euclides - 1853 - 146 sider
...right 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... | |
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The angles which one straight line makes with another upon one tide 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 are either two right... 
