| Edward Atkins - 1874
...greater than AB. Therefore any two sides, &c. QED Proposition 21. — Theorem. If from the ends of t/ie **side of a triangle there be drawn two straight lines to a point within the triangle, these** shall be las titan the other two sides of the triangle, but shall contain a greater angle. Let ABC... | |
| Francis Cuthbertson - 1874 - 349 sider
...former, which is impossible. Hence it follows that PROPOSITION XVII. If from the ends of one of the sides **of a triangle there be drawn two straight lines to a point within the triangle: these** shall be less than the other two sides of the triangle but shall contain a greater angle. '~D a -#... | |
| Robert Potts - 1876 - 403 sider
...straight line, a plane rectilineal angle, a right angle, a Gnomon. Enunciate Euclid's Postulates. 2. **If from the ends of the side of a triangle there be...straight lines to a point within the triangle, these** shall be less than the other two sides of the triangle, but shall contain a greater angle. C . If two... | |
| Education Department,London - 1876
...equal to one another. Show that the segments of BG, CF, in Euclid's figure, are equal, each to each. 3. **If from the ends of the side of a triangle there be...straight lines to a point within the triangle, these** shall be together less than the other two sides of the triangle, but shall contain a greater angle.... | |
| Euclides, James Hamblin SMITH - 1876 - 349 sider
...more than double of the line joining the vertex and the point of bisection. PROPOSITION XXI. THEOREM. **If, from the ends of the side of a triangle, there...straight lines to a point within the triangle ; these** will be together less than the other sides of the triangle, but will contain a greater angle. Let ABC... | |
| Richard Wormell - 1876
...Any two angles of a triangle are together less than two right angles. .. . If from the ends of one **side of a triangle, there be drawn two straight lines to , a point within the triangle, these** two lines shall be less than the other sides of the triangle, but shall contain a greater angle. .... | |
| Henry Major
...angles, shall be equal. Why is no construction required in this theorem ? 3. If from the ends of a **side of a triangle there be drawn two straight lines to a point within the triangle, these** shall be less than the other two sides of the triangle, but shall contain a greater angle. PUPIL TEACHERS... | |
| Edward Atkins - 1876 - 119 sider
...than AC ; and BC, CA greater than AB. Therefore any two sides, &e. QED Proposition 21. — Theorem. Jf **'from the ends of the side of a triangle there be drawn** lico straight lines to a point within the tnangle, these shall be lass than the. other two sides of... | |
| Euclides - 1878
...double of the line joining the vertex and the point of bisection, s. E. 8 PROPOSITION XXI. THEOREM. //, **from, the ends of the side of a triangle, there be...straight lines to a point within the triangle ; these** will be together less than the other sicfcs of the triangle, but will contain a greater angle. Let... | |
| 1878
...cent GEOMETRY. AS BUTLER, Esq. Tuesday, 22nd June 1880. 10 AM to 1 PM 1. If from the ends of the sides **of a triangle there be drawn two straight lines to a point within** it, these shall be together less than the other two sides of the triangle, but shall contain a greater... | |
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