| Euclides - 1874
...quadrilateral are together greater than its two diagonals. PROPOSITION 21. THEOREM. If from the ends of ike **side of a triangle there be drawn two straight lines to a point within the triangle, these** slutll be less than the other two sides of the triangle, but shall contain a greater angle. j Let ABC... | |
| Euclides - 1874
...THEOREM. (Euc. I. 21.) If from the extremities of one side of a triangle, two straight lines be drawn **to a point within the triangle, these shall be less than the other two sides,** but sliall contain a greater angle. Let BO and CO be drawn from the ends of the side BC to any point... | |
| Euclides - 1874
...two sides, &c. QED PROPOSITION 21. — Theorem. If from the ends of a side of a triangle, there lie **drawn two straight lines to a point within the triangle, these shall** lie less than the other two sides of the triangle, but shall contain a greater angle. Let ABC be a... | |
| Robert Potts - Geometry, Plane - 1876 - 403 pages
...greater than AB. Therefore any two sides, &c. QED PROPOSITION XXL THEOREM. If from the ends of a tide **of a triangle, there be drawn two straight lines to...triangle ; these shall be less than the other two** tides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and from the points... | |
| Euclides, James Hamblin Smith - Geometry - 1876 - 349 pages
...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... | |
| Education Department,London - 1876
...opposite sides of every quadrilateral rectangular figure are parallel to each other. If from the ends of a **side of a triangle there be drawn two straight lines to a point within the triangle, these shall** contain an angle greater than that contained by the other two sides of the triangle. 4. Define a square... | |
| Henry Major - 1876
...one another. What is a corollaiij ? Give the corollary to this proposition. 2. If from the ends of a **side of a triangle there be drawn two straight lines to a point within the triangle ; these shall** he less than the other two sides of the triangle, but shall contain a greater angle. What is the construction... | |
| 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. .... | |
| Edward Atkins - 1876 - 119 pages
...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 - 1877
...angle. ri PROPOSITION XXI. THEOREM. // from the ends of a side of a triangle two straight lines be drawn **to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater** ang'e. Let ABC be a triangle, and from B and C let straight Hues BD, CD be drawn to D a point within... | |
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