 | Herbert Ellsworth Slaught - 1918 - 344 pages
...proportional to a and b. PROPORTIONAL DIVISION OF SIDES OF A TRIANGLE 330. THEOREM IV. If a line divides two sides of a triangle proportionally, it is parallel to the third side. A . B Given A ABC with points D and E on AC and EC such that CD = CE DA EB. To prove that DE II AB. Proof.:... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...AB :AC=: m : n, •en ro and n are two given lines. 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: DE. To prove DB parallel to EC. Proof. Through C, draw CE' parallel to BD,... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...proportional to a and b. PROPORTIONAL DIVISION OF SIDES OF A TRIANGLE 330. THEOREM IV. If a line divides two sides of a triangle proportionally, it is parallel to the third side. ''••' ^E' AB Given A ABC with points D and E on AC and BC such that DA = EB' To prove that DE II... | |
 | 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... | |
 | Education - 1921 - 1190 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... | |
 | 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... | |
 | 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... | |
 | 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.... | |
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If a line divides two sides of a triangle proportionally, it is parallel to the third side. 
