 | Education, Higher - 1881 - 504 pages
...triangles have their three sides equal they are equal in every respect. 3. The greater angle of any triangle is subtended by the greater side or has the greater side opposite to it. 4. Equal triangles upon equal bases in the same straight line, and towards the same parts are between... | |
 | John Gibson - 1881 - 302 pages
...each, namely, those to which the equal sides are opposite. 2. The greater angle EFD of the triangle DEF is subtended by the greater side, or has the greater side opposite to it. 3. All the interior angles of any rectilineal figure, together with four right angles, are equal to... | |
 | Education Ministry of - 1882 - 300 pages
...may be proved by a method similar to that employed in the 4th proposition of the first book. 2. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. Write out the converse of this proposition, and showthat one of the two propositions is proved directly... | |
 | Marianne Nops - 1882 - 278 pages
...greater than Z. ACB (ax. 9). Wherefore the greater side, &c. — QED PROPOSITION XIX., THEOREM 12. TJie greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. In A ABC let Z.ABC be greater than Z.ACB: The side AC shall be greater than the side AB. For if not,... | |
 | 1883 - 248 pages
...proposition ? Show, by means of a diagram that it is not true. 3. The greater angle of every ttiaugle is subtended by the greater side, or, has the greater side opposite to it. THE COMPETITOR. E. — GIRLS ONLY. Arithmetic. 1. A pays an income tax of £63 14s. 5Jd. at the rate... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...greater than the angle ACB. [Axiom 9. Wherefore, the greater side &c. QED PROPOSITION 19. THEOREM. The greater angle of every triangle is subtended by the...triangle, of which the angle ABC is greater than the angle ACB : the side AC is also greater than the side AB. For if not, AC must be either equal to AB or less... | |
 | Euclides - 1883 - 176 pages
...(/. 5). " But L ADB >LC(L 16), :. L ABD > LC Much more, then, is L ABC > L CQED PROP. 19. THEOR. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. Given A ABC, having LB > i.0. To prove AC >AB. If AC is not >AB, AC must be = ABor<AB. AC is not =... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...it are either two right angles, or are togclher equal to two light angles. Prop. 13, Blc. I. 2. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to r. Prop. 19, Bk. I. 3. If from the ends of a side of a triangle there be drawn two straight lines to... | |
 | Education - 1883 - 654 pages
...it are either two right angles, or ate together equal to two right angles. Prop. 13, Bk. I. 2. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to i-. Prop. 19, Bk. I. 3. If from the ends of a side of a triangle there be drawn two straight lines... | |
 | Stewart W. and co - 1884 - 272 pages
...ABD ia likewise greater than ACB. Wherefore much more is the angle ABC greater than ACB. XIX. — The greater angle of every triangle is subtended by the...For, if it be not greater, AC must either be equal to ATt or less than it ; it is not equal, because then the angle ABC would be equal to ACB ; but it is... | |
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THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. 
