 | Clara Avis Hart, Daniel D. Feldman - 1912 - 504 páginas
...diagonals. HINT. How do the diagonals of a trapezoid divide each other ? PROPOSITION XVI. THEOREM 428. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. AKCD Given A ABC and DEF with ZA =... | |
 | William Betz, Harrison Emmett Webb - 1912 - 368 páginas
...inscribed in a circle. The diagonals intersect at 0. Prove that AAOB~ACOD. PROPOSITION VI. THEOREM 386. If two triangles have an angle of one equal to an angle of the other, and the including sides proportional, the triangles are similar. A B C' Given the triangles ABC and... | |
 | George Clinton Shutts - 1912 - 392 páginas
...exercises, using a one foot jointed rulo. Also with a six inch jointed rule. 283. THEOREM. // tiro triangles have an angle of one equal to an angle of the other and the sides including the equal angles proportional, the triangles are similar. B ------- C B' C*... | |
 | George Clinton Shutts - 1912 - 392 páginas
...determine the distances between corresponding divisions. PROPOSITION VIII. 283. THEOREM. // tiro t rumples have an angle of one equal to an angle of the other and the sides including the equal angles proportional, the triangles are similar. A BC B- C' Given... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 230 páginas
...to one half its perimeter multiplied by the radius of the inscribed circle. 498, Two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including the equal angles. 503. Two similar triangles... | |
 | Trinity College (Dublin, Ireland) - 1913 - 568 páginas
...tangent. Prove that the angle ASC is equal either to the angle AGP or to the angle ACQ. 7. Prove that if two triangles have an angle of one equal to an angle of the other, and the sides about these equal angles proportional, they are similar. 8. Prove that similar polygons... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 490 páginas
...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 A — Z A ' . To prove A ABC = ^*^. A A'B'C' A'B'x A'C' Proof. Draw the altitudes... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 328 páginas
...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 A = ZA ' . To prove A ABC = AB X AC • A A'B'C' A'B' x A'C' Proof. Draw... | |
 | Horace Wilmer Marsh - 1914 - 272 páginas
...line CR joining the point of division of the radius with the extremity of the chord. Prove that these two triangles have an angle of one equal to an angle of the other and the including sides proportional, and are therefore similar. The necessary proportion can be obtained... | |
 | Sophia Foster Richardson - 1914 - 236 páginas
...if they are mutually equiangular ; (6) if their corresponding sides are proportional ; (c) if they have an angle of one equal to an angle of the other and the including sides proportional. 249. Show that two plane polygons can be placed in the homothetic... | |
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... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional. 
