 | National Committee on Mathematical Requirements - Mathematics - 1923 - 680 pages
...two sides of a triangle parallel to the third side it divides these sides proportionally. (b) If a line divides two sides of a triangle proportionally it is parallel to the third side. (Proofs for commensurable cases only.) (f) The segments cut off on two transversals by a series of... | |
 | Jacob William Albert Young - Mathematics - 1924 - 484 pages
...two sides of a triangle parallel to the third side it divides these sides proportionally. (b) If a line divides two sides of a triangle proportionally it is parallel to the third side. (Proofs for commensurable cases only.) (c) The segments cut off on two transversals by a series of... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...commensurable segments. UK r L, PARALLEL FROM PROPORTIONAL SEGMENTS 195 Proposition XII. Theorem 202. // a straight line divides two sides of a triangle proportionally, it is parallel to the third side. Hyp.: Given the triangle ABC with EF so placed that CE : EA = CF : FB. Det. : To prove that EF is parallel... | |
 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...the third side, it divides those sides proportionally. Proof for the commensurable case only. b. If a line divides two sides of a triangle proportionally, it is parallel to the third side. c. The segments cut off on two transversals by a series of parallels are proportional. d. The bisector... | |
 | National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...sides of a triangle parallel to the third side it divides these sides proportionally. [57, cd] (b) If a line divides two sides of a triangle proportionally it is parallel to the third side. (Proofs for commensurable cases only.) [58*, cd*] (c) The segments cut off on two transversals by a... | |
 | Military Academy, West Point - 1934 - 964 pages
...triangle équivalent to the polygon whoso vertices are A, B, C, D, E. В X С X XX л в n X 10 Theorem: If a straight line divides two sides of a triangle proportionally, it is parallel to the third side. 10 Problem: Inscribe a regular decagon in a given circle. ire the middle points of AL, . ; these 10... | |
 | Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...' b+d+fb A line parallel to one side of a triangle divides the other two sides proportionally. If a line divides two sides of a triangle proportionally, it is parallel to the third side. The bisector of one angle of a triangle divides the opposite side in the same ratio as the other two... | |
 | The Editors of REA - Mathematics - 2013 - 112 pages
...proportionally. A /\ If DE II BC, then / \ AD-AE D / _ \ F BD ~ CE ~/ NT Figure 8.1 e C Theorem 2 If a line divides two sides of a triangle proportionally, it is parallel to the third side. Theorem 3 The bisector of one angle of a triangle divides the opposite side in the same ratio as the... | |
 | G. P. West - Geometry - 1965 - 362 pages
...parallel to one side of a triangle, the other two sides are divided proportionally. 286 THEOREM 50. If a straight line divides two sides of a triangle proportionally, it is parallel to the third side. 288 THEOREM 51. If two triangles are equiangular, their corresponding sides are proportional, and hence... | |
 | Royal A. Avery - Geometry, Modern - 1925 - 360 pages
...inches, and 5(7 = 6 inches (figure for §294), find the length of BD. Proposition VII. Theorem 296. If a straight line divides two sides of a triangle proportionally, it is parallel to the third side. L Given: The AABC in which DE divides the sides CA and CD _CE DA EB' CB so that To prove : DE \\ AB.... | |
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If a line divides two sides of a triangle proportionally, it is parallel to the third side. 
