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Plane geometry, with problems and applications (1910)

Slaught, H. E. (Herbert Ellsworth), 1861-1937, Lennes, N. J. (Nels Johann), 1874- joint author · Boston, Allyn and Bacon · leaf 145

An illustration from Plane geometry, with problems and applications, 1910, leaf 145
Proof : By definition of similar polygonsAB BC CD BE EA Ab BU Cd DE EAComplete the proof. 132 PLANE GEOMETRY. 270. Theorem. If the diagonals dravm from onevertex in each of two -polygons divide them into the samenumber of triangles, similar each to each and ■similarly■placed, then the two polygons… … Given the diagonals drawn from the vertices A and A in thepolygons Pand P, forming the same number of triangles in each,such that .A/~A7, A//~A//, A III~ A III. To prove that p ~ p. Outline of Proof : (1) Use the hypothesis to show that Z.A = /.A\ Z.b = /-B\ Zc=Zc, etc. (2) Show that ABAB BC CD .…

Geometry, Plane

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