 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...7. What other proportions can you write down for Ex. 6 ? 147. Theorem II. ( Converse of Theorem /.) If a line divides two sides of a triangle proportionally, it is parallel to the third side. c FIG. 109 Given the A ABC and the line DE dividing the sides proportionally ; that is, such that CD/... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...segments as the other side is to its corresponding segment. 147. Theorem II. (Converse of Theorem I.) If a line divides two sides of a triangle proportionally, it is parallel to the third side. 148. Corollary 1. If a line cuts two sides of a triangle in such a way that either side is to one of... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...7. What other proportions can you write down for Ex. 6 ? 147. Theorem II. (Converse of Theorem I.) If a line divides two sides of a triangle proportionally, it is parallel to the third side. c FIG. 109 Given the A ABC and the line DE dividing the sides proportionally ; that is, such that CD/DA=CE/EB.... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 184 pages
...side is to its corresponding segment. 147. Theorem II. (Converse of Theorem I.) If a line divides tioo sides of a triangle proportionally, it is parallel to the third side. 148. Corollary 1. If a line cuts two sides of a triangle in such a way that either aide is to one of... | |
 | Connecticut. Board of Finance and Control - Budget - 1914 - 804 pages
...Through three points not in a straight line, but one circle can be passed (To be proved) 5 If a straight line divides two sides of a triangle proportionally it is parallel to the third side (To be proved) 6 The areas of two similar triangles are to each as the squares of any two homologous... | |
 | John Wesley Young, Albert John Schwartz - Geometry, Modern - 1915 - 250 pages
...into segments which are proportional to the adjacent sides. Thenff=it Why? 395. THEOREM. If a straight line divides two sides of a triangle proportionally, it is parallel to the third side. A FH / BC FIG. 180. Given the A ABC with DE drawn so that — = . AB AC To prove that DE || BC. Proof.... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...it divides the other two sides proportionally. The converse of this theorem is: 214. Theorem XI. // a line divides two sides of a triangle proportionally, it is parallel to the third side. Given the triangle ABC with the line MN cutting the side AP AO AB at P and side CA atQ, forming the proportion... | |
 | William Betz - Geometry - 1916 - 536 pages
...construct the sides of a polygon similar to the given polygon, with AG as a side homologous to m. 378. If a line divides two sides of a triangle proportionally, it is parallel to the third side. B Given the triangle ABC, and the line DE drawn so that AD AE DB ~ EC To prove that DE II BC. Proof.... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...DF= 20 in., GE = 18 in., CF= 5 in., BE = 2 in. Find AD, AC, BC and GC. PROPOSITION VI. THEOREM 298. If a line divides two sides of a triangle proportionally, it is parallel to the third side. To prove that DE II AB. Proof. 1. If DE is not II AB, let the parallel to AB through D meet BC in F.... | |
 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...it divides the other two sides proportionally. The converse of this theorem is: 214. Theorem XI. // a line divides two sides of a triangle proportionally, it is parallel to the third side. Given the triangle ABC with the line MN cutting the side AP AQ ABaiP and side CA at Q, forming the proportion... | |
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If a line divides two sides of a triangle proportionally, it is parallel to the third side. 
