 | Euclides - 1884 - 182 sider
...by those sides equal to one another, they shall also have their bases or third sides equal. (8) 8. Any two angles of a triangle are together less than two right angles. (8) 9. The opposite sides and angles of a parallelogram are equal to one another. (9) 10. If two isosceles... | |
 | Euclides - 1884 - 214 sider
...the equal sides are opposite. Axiom 9. The whole is greater than its part. PROPOSITION XVII. THEOEEM. Any two angles of a triangle are together less than two right angles. GIVEN the triangle ABC ; IT is REQUIRED TO PROVE that any tioo of its angles are together less than... | |
 | Stewart W. and co - 1884 - 272 sider
...angle BCG is greater than ABC. PROP. XVII., BOOK I.— With a paper triangle show practically that any two angles of a triangle are together less than two right angles. PROP. XXII., BOOK I. — Why cannot a triangle be described of which the sides shall be respectively... | |
 | John Veitch - 1885 - 572 sider
...thereafter speak of the propositions expressing truths regarding them as embodying their properties — eg, any two angles of a triangle are together less than two right angles. 1 Hoblyn's Briti*h Plants, p. 7. Given our conception of a particular metal, we may add on, by observation... | |
 | Richard Anthony Proctor - 1887 - 202 sider
...respects, or else the angles B and C together make up two right angles. But the angles B and C, being two angles of a triangle, are together less than two right angles. Hence the triangles ABD, ACD are equal in all respects. Therefore AB is equal to A C. PROP. XII. —... | |
 | H. Freeman Wood - 1888 - 412 sider
...be produced, the exterior angle shall be greater than either of the interior 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... | |
 | George William Usill - 1889 - 306 sider
...the exterior angle, A c D, is greater than either of the interior opposite angles, CAB and ABC. 8. Any two angles of a triangle are together less than two right angles. 9. If one side of a triangle, A c, be greater than a second, AB, the angle, ABC, opposite the first... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...equal. Ex. 21. — The three medians of an equilateral triangle are equal. PROPOSITION 17. THEOREM. Any two angles of a triangle are together less than two right angles. Let ABC be a A, any two of its ^s are together less than two rt. L s. Produce BC to D. Then ext. L ACD > int.... | |
 | Euclid - 1890 - 442 sider
...by producing CB to F, it could be shown that ABF (which = CBD) > BAG. i Proposition 17. THEOREM — Any two angles of a triangle are together less than two right angles. This proposition is omitted because it is — i°, included in i. 32 : 2°, not referred to in anything... | |
 | James Andrew Blaikie, William Thomson - 1891 - 154 sider
...the exterior angle thus formed shall be greater than either of the two interior opposite angles. 17. Any two angles of a triangle are together less than two right angles. 18. If one side of a triangle be greater than another side, the angle opposite to the greater side... | |
| |
ANY two angles of a triangle are together less than two right angles. 
