 | Euclides - 1884 - 94 pages
...SHEETS. PROPOSITIONS 1-26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PKOPOSITION XIX. TJie greater angle of every triangle is subtended by the...side, or, has the greater side opposite to it. Let be a triangle of which the angle is greater than the angle Then the side shall be greater than the... | |
 | Euclides - 1884 - 214 pages
...isosceles triangle are equal. Axiom 9. The whole is greater than its part. PEOPOSITION XIX. THEOREM. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. In the triangle ABC; GIVEN that the angle ABC is greater t/ian the angle ACB ; IT is REQUIRED TO PROVE... | |
 | Euclides - 1884 - 182 pages
...unequal, the side which is opposite the greater angle is greater than the side which is opposite the less, Let ABC be a triangle, of which the angle ABC is greater than the angle ACB, Then the side AC shall be greater than the side AB. For, if AC be not greater than AB, AC must... | |
 | Mathematical association - 1884 - 146 pages
...Theor. 8 by means of Theor. n. D THEOE, 12. If two angles of a triangle are unequal, the greater angle has the greater side opposite to it. Let ABC be a triangle having the angle ABC greater than the angle ACB : then shall the side AC be greater than the side AB.... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...Theor. 8 by means of Theor. n. THEOR 12. If two angles of a triangle are unequal, the greater angle has the greater side opposite to it. Let ABC be a triangle having the angle ABC greater than the angle ACB : then shall the side AC be greater than the side AB.... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...term of(a--M2» Class I— Euclid. \ REV. D. GILLIM, B A. { REV. AB BAIBD, MA, BD 1. Show that the greater angle of every triangle is subtended by the greater side, or, has the greater side oppdsite to it. 2. Show that straight lines which are parallel to the same straight line are parallel... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...of Proposition 5, and is an immediate inference from Proposition 6. D PROPOSITION 19. THEOREM. The greater angle of every triangle is subtended by the...greater side or has the greater side opposite to it. Let L ABC of A ABC be greater than L ACB, then the side AC > the side AB. For AC either=AB or < AB or >... | |
 | Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...construction, demonstration, and conclusion.] 3. Two straight lines cannot have a common segment. 4. The greater angle of every triangle is subtended by the...greater side, or has the greater side opposite to it. 5. If from the ends of the side of a triangle there be drawn two straight lines to a point within the... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...right angles. 18. The greater side of every triangle has the greater angle opposite to it. 19. The greater angle of every triangle is subtended by the greater side or has the greater side opposite it. 20. Any two sides of a triangle are together greater than the third side. 21. If from the ends... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...Exercise 2, page 51.) PROPOSITION 19. When two angles of a triangle are unequal, the greater angle has the greater side opposite to it. Let ABC be a...triangle, of which the angle ABC is greater than the angle ACB : it is required to prove that the side AC is greater than the side AB. PROOF. AC must be either... | |
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THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it. 
