 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...Proposition 10. Separating Similar Polygons 225. Theorem. If two polygons are similar, they can be separated into the same number of triangles, similar each to each and similarly placed. Given two similar polygons ABCDE and A'B'C'D'E' . Prove that ABCDE and A'B'C'D'E' can be separated... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor, Eva Crane Farnum - Geometry, Modern - 1924 - 360 pages
...image shall be 8 in. long. FIG. 8 *381. Theorem. If two polygons are similar, they can be separated into the same number of triangles, similar each to each and similarly placed. Given the similar polygons ABCDE and A'B'C'D'E'. To prove that they can be separated into the... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...similar to the given triangle and to each other. 8. If two polygons are similar, they can be separated into the same number of triangles, similar each to each and similarly placed, and conversely. 9. The perimeters of two similar polygons have the same ratio as any two corresponding... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...number of sides. Proposition XXXV. Theorem 233. // two polygons are similar, they may be decomposed into the same number of triangles, similar each to each and similarly placed. B B' **^ E' C' Hyp.: Grant the similar polygons ABCEF and A'B'C'E'F', and let AC, AE and A'C',... | |
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FIK are similar ; hence the similar polygons may be divided into the same number of triangles similar each to each, and similarly situated. 
