| Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...triangle parallel to the third side,'it divides the two sides proportionally. Prop. 76. // a line divides **two sides of a triangle proportionally, it is parallel to the third side.** Prop. 79. Two triangles are similar when they are mutually equiangular. Prop. 79, Cor. I. Two triangles... | |
| United States. Office of Education - 1921 - 1286 pages
...a triangle parallel to the third side, it divides these sides proportionally. (6) 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... | |
| National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...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... | |
| National Committee on Mathematical Requirements - Mathematics - 1923 - 680 pages
...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... | |
| Edson Homer Taylor, Fiske Allen - Mathematics - 1923 - 104 pages
...corresponding segment. Prove this, using Theorems XL III and XL IV. THEOREM XLV 191. // a line divides **two sides of a triangle proportionally it is parallel to the third side.** Given A ABC having line PQ cutting AB at P and p> r> f>f) BC at Q, so that To prove PQ || AC. Proof.... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...807. In a given line, AB, to find a point, C, so that PROPOSITION XVI. THEOREM 300. If a line divides **two sides of a triangle proportionally, it is parallel to the third side.** Given in A AEC, AB : BC = AD: DM. To prove DB parallel to EC. Proof. Through C, draw CE' parallel to... | |
| Jacob William Albert Young - Mathematics - 1924 - 484 pages
...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
...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
...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
...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... | |
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