| 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 - 302 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 - 426 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 - 578 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 - 658 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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