 | Eugene Randolph Smith - Geometry, Plane - 1909 - 204 pages
...have the same ratio as the squares oftheir corresponding sides. 292. Co R. 2. // two triangles that have an angle of one equal to an angle of the other are equivalent, the product of the sides including the angle in one equals the product of the sides... | |
 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...altitudes. 4. Triangles having equal altitudes are to each other as their bases. 5. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. 6. If two triangles... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...respectively parallel or perpendicular to the sides of the other are similar. 259. THEOEEM. // two triangles have an angle of one equal to an angle of the other and the pairs of adjacent sides in the same ratio, the triangles are similar. B' C' c Given A ABC and A'ffC... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...perpendicular to the sides of the other are similar. PLANE GEOMETRY. 259. THEOREM. // two triangles have an angle of one equal to an angle of the other and the pairs of adjacent sides in the same ratio, the triangles are similar. \ o' (Why?) V BC Given A ABC... | |
 | George Albert Wentworth, David Eugene Smith - Geometry, Plane - 1910 - 287 pages
...respectively to two angles of the other. PROPOSITION XIV. THEOREM 288. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. ABA B' Given the triangles ABC and A'B'C', with the angle C equal to the angle C'... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...the other. PROPOSITION XVIII. THEOREM. 368. Two triangles are similar if they have an angle of the one equal to an angle of the other and the including sides proportional. E/-- ATJ Ap Given As ABC and DEF in which XA = XD, and — = — . DE DF To prove A ABC ~ A DEF. Proof.... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...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. K D Given A ABC and DEF with Z. A = Z, D and — = — • 1. 2. 3. 4. 5.... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...and 6' and whose other sides are each equal to s. PROPOSITION VIII. THEOREM 49R 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. 4 GCD 2. 3. To prove Given... | |
 | Geometry, Plane - 1911 - 192 pages
...proportional between the whole secant and its external segment. 4. The areas of 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 those angles. 6. Two triangles ABC and ABC... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...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 = Z To prove A AB C ~ A DŁ^. ,and^ = ^.... | |
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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. 
