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" THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 33
by Euclid, John Playfair - 1819 - 333 pages
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The Cambridge Examiner, Volume 1

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...
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Guide to preliminary army examination

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...
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Twelve years' Queen's scholarship questions

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...
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Class lessons on Euclid

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,...
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The Competitor, Volumes 3-4

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

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 =...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

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...
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The Practical Teacher, Volume 2

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...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

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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