| 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 - 530 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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