| Euclid, Isaac Todhunter - 1883 - 428 páginas
...circumference at B. Then, because FGCis a right angle, [Hypothesis. FCG is an acute angle ; [I. 17. and the greater angle of every triangle is subtended by the greater side ; [I. 19. E ~~"c '""' G ff therefore FC is greater than FG. But FC is equal to FB ; [I. Definition... | |
| Stewart W. and co - 1884 - 272 páginas
...angle 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...opposite to it. Let ABC be a triangle, of which the angle ABC is greater than the angle BCA ; the side AC is likewise greater than the side AB. For, if it be... | |
| Euclides - 1884 - 214 páginas
...the base of an isosceles triangle are equal. Axiom 9. The whole is greater than its part. PEOPOSITION XIX. THEOREM. The greater angle of every triangle...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 - 94 páginas
...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... | |
| Mathematical association - 1884 - 146 páginas
...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 - 1884 - 150 páginas
...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 páginas
...middle 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... | |
| H. Freeman Wood - 1888 - 412 páginas
...opposite angles; that any two angles of a triangle are together less than two right angles; and that the greater angle of every triangle is subtended by the greater side. He had been interrupted in a languid examination of the problem: To make a triangle of which the sides... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 páginas
...called the obverse of Proposition 5, and is an immediate inference from Proposition 6. D PROPOSITION 19. THEOREM. The greater angle of every triangle is subtended...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 - 1890 - 526 páginas
...construction, demonstration, and conclusion.] 3. Two straight lines cannot have a common segment. 4. The greater angle of every triangle is subtended by...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... | |
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