 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...therefore similar. PROPOSITION MX. THEOREM 329. If two polygons are similar, they may be separated into the same number of triangles, similar, each to each, and similarly placed. B D £' • D' Given the similar polygons ABCDE and A'B'ffjyW, divided into triangles by the... | |
 | George Clinton Shutts - 1905 - 260 pages
...demonstration. OD PROPOSITION XXIII. 309. Theorem. CONVERSE OF PROPOSITION XXII. Two similar polygons can be divided into the same number of triangles, similar each to each and similarly placed. GA G' A' Let polygons ABC, etc., and A'B'C', etc., be similar, and let all possible diagonals... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...find the shortest side of the less. 327. THEOREM. If two polygons are similar, they may be decomposed into the same number of triangles similar each to each and similarly placed. Given : Similar polygons BE and B'E' ' . To Prove : A ABC similar to A A'B'C'; AACD similar... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...side of the less. PLANE GEOMETRY 327. THEOREM. If two polygons are similar, they may be decomposed into the same number of triangles similar each to each and similarly placed. Given : Similar polygons BE and B'E'. To Prove : A ABC similar to A A'B'C'; AACD similar to... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...similarly placed. IJ Given: ABCDEF and GHUKL, two similar polygons. To Prove : That the polygons can be divided into the same number of triangles, similar each to each and similarly placed. Proof : From the corresponding vertices A and G draw all diagonals possible. Then A CAB ~ A... | |
 | Webster Wells - Geometry, Plane - 1908 - 206 pages
...manner, = = PROP. XIX. THEOREM 247. (Converse of Prop. XVIII.) Two similar polygons may lie decomposed into the same number of triangles, similar each to each, and similarly placed. 4 Draw similar polygons ABCDE, A'B'C'D'E', vertices E, E' being homologous ; and diagonals... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...(Why?) THEOREM XVII (Converse of Theorem XVI) 356. If two polygons are similar, they can be separated into the same number of triangles, similar each to each and similarly placed. Given : ABCDEF and GHIJKL, two similar polygons. To Prove : That the polygons can be divided... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...like manner, PROP. XIX. THEOREM 247. (Converse of Prop. XVIII.) Two similar polygons may be decomposed into the same number of triangles, similar each to each, and similarly placed. Z» Draw similar polygons ABCDE, A'B'C'D'E', vertices E, E' being homologous; and diagonals... | |
 | Education - 1909 - 720 pages
...equal to one-half of the third side. 2. Demonstrate: If two polygons are similar, they may be separated into the same number of triangles, similar each to each, and similarly placed. 3. Construct a fourth proportional to three given lines. 4. Demonstrate : Of isoperimetria... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...BC CD DE EA 270. THEOREM. // the diagonals drawn from one vertex in each of two polygons divide them into the same number of triangles, similar each to each and similarly placed, then the two polygons are similar. D' E' Given the diagonals drawn from the vertices A and... | |
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Similar polygons may be divided into the same number of triangles similar each to each, and similarly situated. 
