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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 ## An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - 1894 - 150 σελίδες
...respectively ; show that BA is perpendicular to AC. 4. 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... ## Elements of Geometry: Plane and Solid

John Macnie - 1895 - 386 σελίδες
...same diagram, show that rect. A E- (AB+ EBy^T? — Elf. PROPOSITION VIII. THEOREM. 341. Triangles that have an angle of the one equal to an angle of the other, are to each other as the rectangles contained by the sides including those angles. AD c A, D, a' Given:... ## Euclid's Elements of Geometry, Βιβλία 1-6;Βιβλίο 11

Henry Martyn Taylor - 1895 - 708 σελίδες
...the ratios AB to DE and BC to EF. Wherefore, if two triangles &c. COROLLARY. If two parallelograms have an angle of the one equal to an angle of the other, the ratio of the areas of th« parallelograms is equal to the ratio compounded of the ratios of the... ## Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 168 σελίδες
...whatever direction the chord is drawn. 6. Prove the ratio between the areas of two triangles which have an angle of the one equal to an angle of the other. Define area. 7. Define a regular polygon and prove that two regular polygons of the same number of... ## Syllabus of Geometry

George Albert Wentworth - 1896 - 68 σελίδες
...trapezoid is equal to the product of the median by the altitude. 374. 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. 375. The areas of two similar... ## Plane Geometry

George D. Pettee - 1896 - 272 σελίδες
...respectively ; show that BA is perpendicular to AC. 4. 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... ## Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 σελίδες
...whatever direction the chord is drawn. 6. Prove the ratio between the areas of two triangles which have an angle of the one equal to an angle of the other. Define area. 7. Define a regular polygon and prove that two regular polygons of the same number of... ## The Elements of Geometry

Henry W. Keigwin - 1897 - 250 σελίδες
...triangle with two given lines in the plane ? (1893.) 14. 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... ## Yale University Entrance Examinations in Mathematics: 1884 to 1898

1898 - 228 σελίδες
...given line at a given point B, and prove the construction correct. 5. 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 those angles. (B) 1. The shadow cast on level... ## Entrance Examinations in Mathematics, 1884 to 1898 [with Supplements to 1900]

Yale University - 1898 - 212 σελίδες
...given line at a given point B, and prove the construction correct. 5. 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 those angles. (В) 1. The shadow cast on level...