Books Books
FIK are similar ; hence the similar polygons may be divided into the same number of triangles similar each to each, and similarly situated.
New Elementary Geometry: With Practical Applications : a Shorter Course Upon ... - Page 88
by Benjamin Greenleaf - 1874 - 176 pages

## The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 394 pages
...line can be cut only it a single point into external segments having a given ratio.) 516. COROLLARY. Similar polygons may be divided into the same number of triangles similar and similarly placed. For if, with their corresponding sides parallel, one of the polygons were placed...

## Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1887 - 331 pages
...^. = = = - = = t PROPOSITION VII.—THEOREM. 23. Conversely, two similar polygons may be decomposed into the same number of triangles similar each to each and similarly placed. Let AH CD, etc., A'B'C'D', etc., be two similar polygons. From two homologous vertices, A and...

## Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1889 - 63 pages
...triangles whose sides are parallel or perpendicular are similar. Proposition V. A Theorem. 210. Two similar polygons may be divided into the same number of triangles, similar each to each. Proposition VI. A Theorem. 211. If two polygons can be divided into the same number of triangles, similar...

## Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1894 - 76 pages
...triangles whose sides are parallel or perpendicular are similar. Proposition V. A Theorem. 210. Two similar polygons may be divided into the same number of triangles, similar each to each. Proposition VI. A Theorem. 211. If two polygons can be divided into the same number of triangles, similar...

## Exercise Manuals, Issue 3

George Albert Wentworth - 1889 - 270 pages
...homologous angles, vertices, sides, and diagonals. 154. Theorem. Two similar polygons are divisible into the same number of triangles, similar each to each, and similarly placed. 155. Theorem. Two polygons are similar if they are divisible into the same number of triangles,...

## Wentworth & Hills's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1889 - 264 pages
...each to each, and . similarly placed. 155. Theorem. Two polygons are similar if they are divisible into the same number of triangles, similar each to each, and similarly placed. 156. Theorem. The perimeters of two similar polygons are proportional to any two homologous...

## The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 414 pages
...equiangular and having their hoinohgous sides PLANE GEOMETRY. Proposition 22. Theorem. 321. Conversely, two similar polygons may be divided into the same number...of triangles, similar each to each, and similarly placed. . Hyp. Let AB0DE, A'B'C'D'E' be two similar polygons divided into AS by the diagonals AC, AD,...

## The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 393 pages
...homologous sides proportional (307). QED Proposition 22. Theorem. 321. Conversely, two similar polygons may be divided into the same number of triangles, similar each to each, and similarly placed. Hyp. Let ABCDE, A'B'C'D'E' be two similar polygons divided into AS by the diagonals...