 | Edith Long, William Charles Brenke - Geometry, Modern - 1916 - 292 pages
...to their corresponding sides. Suggestion. Apply Art. 220, Cor. 3. 222. Theorem XVI. // two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, the triangles are similar. Given the triangles ABC and AiBiCi... | |
 | Encyclopedias and dictionaries - 1920 - 934 pages
...parallel to one of its sides. Triangles which have their homologous sides proportional are similar. Two triangles which have an angle of the one equal to an angle of the other, and the sides about these angles proportional, are similar. Two triangles which have their sides parallel... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...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... | |
 | Encyclopedias and dictionaries - 1920 - 934 pages
...parallel to one of its sides. Triangles which have their homologous sides proportional are similar. Two triangles which have an angle of the one equal to an angle of the other, and the sides about these angles proportional, are similar. Two triangles which have their sides parallel... | |
 | Edinburgh Mathematical Society - Electronic journals - 1920 - 460 pages
...theorem in similarity corresponding to the converse theorem (2) is the following : If two triangles have an angle of the one equal to an angle of the other and another pair of angles supplementary, then the sides opposite to the equal angles are proportional... | |
 | Robert Remington Goff - 1922 - 136 pages
...330. Two triangles with equal altitudes are to each other as their bases. *331. Two triangles, having 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. *332. Two similar triangles are... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...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... | |
 | Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...similar, if: 1. They have two angles of one respectively equal to two angles of the other. 2. They have an angle of the one equal to an angle of the other and the including sides proportional. 3. The sides of one are respectively proportional to the sides... | |
 | William Weller Strader, Lawrence D. Rhoads - Geometry, Plane - 1927 - 434 pages
...parallel; (3) have their respective sides perpendicular; (4) have their respective sides proportional; (5) have an angle of the one equal to an angle of the other and the including sides proportional; (6) are similar to the same triangle; Polygons are similar, if... | |
 | University of Adelaide. Public Examinations Board - Examinations - 1928 - 1280 pages
...conversely, if the corresponding sides of two triangles are proportional, the triangles are equiangular. Triangles which have an angle of the one equal to an angle of the uther, and the sides about the equal angles proportional, are similar. The bisectors of an angle of... | |
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Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar. 
