 | Queensland. Department of Public Instruction - Education - 1916 - 244 pages
...point within a triangle be joined to the extremities of the base then these joining lines are together less than the sum of the other two sides of the triangle, but contain a greater angle. Prove this. Shew that the sum of the distances of any point within a triangle... | |
 | John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...arcs of great circles drawn from any point within a spherical triangle to the extremities of a side is less than the sum of the other two sides of the triangle. REFERENCES TO PLANE GEOMETRY The following axioms, theorems, etc., which are given in the Plane Geometry... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 344 pages
...53. If from a point within a triangle segments are drawn to the extremities of one side, their sum is less than the sum of the other two sides of the triangle. FIG. 188 Hypothesis: In AA5C, segments DA and DB are drawn from point D to the extremities of AB. Conclusion:... | |
 | Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 pages
...spherical triangle, great circle arcs are drawn to a point within the triangle, the sum of those arcs is less than the sum of the other two sides of the triangle. 250. Regular Polyhedrons. A polyhedron is said to be regular if its faces are all regular polygons... | |
 | Clarence Addison Willis - Geometry, Modern - 1922 - 320 pages
...sum of two lines drawn from any point within a triangle to the extremities of one of the sides, is less than the sum of the other two sides of the triangle. Helps.— (1) In A ACE, AC + CE>AD + DE;—(2) in A DEB, DE+EB> DB;—(3) add these inequalities (Axiom... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...53. If from a point within a triangle segments are drawn to the extremities of one side, their sum is less than the sum of the other two sides of the triangle. THEOREM 54. If one angle of a triangle is greater than a second, the side opposite the first angle... | |
 | Military Academy, West Point - 1934 - 964 pages
...cüdei radius 1 inch that shall pass through И and be tangent to the given cm!. 12 (o) Theorem: If from a point within a triangle two straight lines are drawn to tí extremities of one side, their sum will be less than the sum of the other two sal (fc) Theorem:... | |
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If, from a point within a triangle, two straight lines are drawn to the extremities of either side, their sum will be less than the sum of the other two sides of the triangle. 
