| 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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