 | Joseph Battell - Force and energy - 1903 - 722 pages
...relativity of sides and angles, and are demonstrated under Figure i (Eighth). PROPOSITION XXVII. ' If from a point within a triangle two straight lines are drawn to the extremities of one side, their sum will be less than the sum of the other two sides of the triangle.' Figure i o.... | |
 | John Alton Avery - Geometry, Modern - 1903 - 136 pages
...lines "be drawn from a point in n triangle to the extremities of a side, the sum of these lines is less than the sum of the other two sides of the triangle. Hyp. Let I) be any pt. in A ABC, DB and DC lines drawn from D to B and C respectively. To prove that... | |
 | James McMahon - Geometry, Plane - 1903 - 382 pages
...ends of a side of a triangle two straight lines are drawn to a point within the triangle, their sum is less than the sum of the other two sides of the triangle. Definition. The sum of the three sides is called the perimeter of the triangle. Ex. The sum of the... | |
 | Cora Lenore Williams - Geometry - 1905 - 56 pages
...40. If from a point within a triangle, two lines are drawn to the extremities of a side, their sum is less than the sum of the other two sides of the triangle, but they contain the greater angle. equal respectively to two sides of the other, but the included... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...the base produced, how does the length of the line compare with either side ? THEOREM XIII 135. If from a point within a triangle two straight lines are drawn to the extremities of a side, their sum is less than the sum of the other two sides of the triangle, but they contain a greater... | |
 | Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...the ends of a side of a triangle lines are drawn to a point within, the sum of the lines so drawn is less than the sum of the other two sides of the triangle. 41. The sum of the lines from the vertices of a triangle to any point is greater than half the perimeter... | |
 | Geometry, Plane - 1911 - 192 pages
...straight lines are drawn from a point within a triangle to the extremities of a side, their sum is less than the sum of the other two sides of the triangle. Prove that the sum of the three straight lines drawn from any point within a triangle to the three... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...triangle lines are drawn to the extremities of any side of the triangle, the sum of these lines is less than the sum of the other two sides of the triangle. HINT. Let ABC be the given triangle, D the point within. Prolong AD until it intersects BC at E. Apply... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...triangle lines are drawn to the extremities of any side of the triangle, the sum of these lines is less than the sum of the other two sides of the triangle. HINT. Let ABC be the given triangle, D the point within. Prolong AD until it intersects BC at E. Apply... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...two straight lines are drawn from a point within a triangle to the end points of a side, their sum is less than the sum of the other two sides of the triangle. $ \ .?— \\. C b A To prove that CP + PA < BC + BA, or d + e < a + c. Proof. 1. d + x < a + m. Sec.... | |
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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. 
