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 Βιβλία Βιβλία The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. D c A' D' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove AABC = ABxAC. A A'B'C' A'B'xA'C'... The Elements of Euclid, containing the first six books, with a selection of ... - Σελίδα 269
των Euclides - 1874
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Elementary Trigonometry

William Ernst Paterson - 1911 - 266 σελίδες
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Clara Avis Hart, Daniel D. Feldman - 1911 - 332 σελίδες
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1911 - 192 σελίδες
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Arthur Schultze, Frank Louis Sevenoak - 1911 - 266 σελίδες
...of an inscribed rectangle enclose a rhombus. Ex. 737. Two parallelograms are similar when they'have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 738. Two rectangles are similar if two adjacent sides are proportional.... ## The Teaching of Geometry

David Eugene Smith - 1911 - 360 σελίδες
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Clara Avis Hart, Daniel D. Feldman - 1912 - 504 σελίδες
...Prove that the triangle ODC is equilateral. Ex. 924. Assuming that the areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles, prove that the bisector... ## Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1913 - 488 σελίδες
...vertices of an inscribed rectangle inclose a rhombus. Ex. 1067. Two parallelograms are similar when they have an angle of the one equal to an angle of the other, and the including sides proportional. Ex. 1068. Two rectangles are similar if two adjacent sides are proportional.... ## Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - 1913 - 328 σελίδες
...[The solution is left to the student.] PROPOSITION XIII. THEOREM 378. The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the product of the sides including the equal angles. Given A ABC and A'B'C', Z... ## Connecticut School Document, Τεύχη 1-13

1913 - 396 σελίδες
...only one If two triangles have their homologous sides proportional they are similar If two triangles have an angle of the one equal to an angle of the other their areas are to each other as the products of the sides including the equal angles The area of a... ## Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - 1913 - 500 σελίδες
...• 1 AA'B'C' AW Proof. Since the triangles are similar, Given §282 (The areas of two triangles that have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.) AABC AB AC AC (Similar...