 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1910 - 374 pages
...perimeter of a similar triangle is 108. Find the sides of the second triangle. Fact from Geometry. A line parallel to one side of a triangle divides the other two sides into four proportional parts. Thus in triangle ADC which follows, line DE is parallel to... | |
 | John Charles Stone, James Franklin Millis - Algebra - 1911 - 698 pages
...80 yd., EC 20 yd., and DC 15 yd., what is the width of the stream ? 8. It is known in geometry that a line parallel to one side of a triangle divides the other two sides into four proportional parts. /rrj /"^F That is, if DE is parallel to AB, ^ = i^í . c -¿ХЛ... | |
 | Geometry, Plane - 1911 - 192 pages
...same circle or in equal circles the less of two chords is at the greater distance from the centre. 4. A line parallel to one side of a triangle divides the other two sides proportionally. 6. The area of a rhombus if 96, and its side is 10; find the lengths of its... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...proportion by alternation. 338. In any proportion like powers of the terms are in proportion. 340. A line parallel to one side of a triangle divides the other sides proportionally. 343. If a straight line parallel to the side BC of a triangle ABC cuts AB at D and... | |
 | Arthur Schultze - Mathematics - 1912 - 398 pages
...no common measure, etc. To illustrate the use of this arithmetical plan further let us consider the theorem, A line parallel to one side of a triangle divides the other two proportionally. if AB is divided into five equal parts, then AD equals two of these parts. If through... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...externally. .. ,,—^_ t The segments of AB are AC and ACB PROPORTIONAL LINES PROPOSITION XIII. THEOREM* 293. A line parallel to one side of a triangle divides the other two sides proportionally. Given in A ABC, DE parallel to BC. To prove AD : DB = AB : EC. Proof.t CASE... | |
 | William Benjamin Fite - Algebra - 1913 - 368 pages
...is a spire that casts a shadow 24 feet long ? Fact from Geometry. — It is proved in geometry that a line parallel to one side of a triangle divides the other two sides into four proportional parts and that the new triangle formed is similar to the original... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...and ACB BC. The segments of A'B' are A' C' ( — PROPORTIONAL LINES PROPOSITION XIII. THEOREM * 293. A line parallel to one side of a triangle divides the other two sides proportionally. Given in A ABC, DE parallel to BC. To prove AD : DB = AE : EC. Proof, t CASE... | |
 | William Benjamin Fite - Algebra - 1913 - 304 pages
...is a spire that casts a shadow 24 feet long ? Fact from Geometry. — It is proved in geometry that a line parallel to one side of a triangle divides the other two sides into four proportional parts and that the new triangle formed is similar to the original... | |
 | John Charles Stone, James Franklin Millis - Geometry - 1916 - 306 pages
...the board by sawing lengthwise through these points. Prove that the strips are of equal width. 8 122. Theorem. — A line parallel to one side of a triangle divides the other two sides proportionally. Hypothesis. In A ABC, DE II AB and DE meets AC at D and BCsA. E. Conclusion.... | |
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A line parallel to one side of a triangle divides the other two sides proportionally. 
