 Two triangles are similar if an angle of the one is equal to an angle of the other, and the sides including these angles are proportional. 0 B Hyp. In A ABC and A'B'O, 
Secondary-school Mathematics - Page 358
by Robert Louis Short, William Harris Elson - 1911
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 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...polygons corresponding sides are proportional.) CONDITIONS FOR SIMILARITY OF TRIANGLES 342. THEOREM VII. Two triangles are similar if an angle of one is equal to an angle of the other and the pairs of adjacent sides are proportional. ABA B' Given A ABC and A'B'C in which ZC = /L C' and CA CB... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...polygons corresponding sides are proportional.) CONDITIONS FOR SIMILARITY OF TRIANGLES 342. THEOREM VII. Two triangles are similar if an angle of one is equal to an angle of the other and the pairs of adjacent sides are proportional. AB Given A ABC and A'B'C' in which ZC = Z C' and CA CB To... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...become homologous sides. PROPOSITION XX. THEOREM 309. Two triangles are similar if an angle of the one is equal to an angle of the other, and the sides including these angles are proportional. A' Given in A ABC and A'B'C', ZA = ZA', and AB : A'B' = AC : A'C'. To prove A ABC ~ A A'B'C'. HINT.... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 232 pages
...two simIlar triangles corresponding altitudes are proportional to any two corresponding sides. 56. Two triangles are similar if an angle of one is equal to an angle of the other and the pairs of adjacent sides are proportional. 57. Two triangles are similar if their pairs of corresponding... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...90°. (Why ?) But BE + DC= BC+ED = a + A' = 180°. 340. COROLLARY 1. If in two spherical triangles an angle of one is equal to an angle of the other, then the corresponding sides of their polar triangles are equal ; and conversely, if in two spherical... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...90°. (Why ?) But BE + DC= BC! + ED = a + A' = 180°. 340. COROLLARY 1. If in two spherical Mangles an angle of one is equal to an angle of the other, then the corresponding sides of their polar triangles are equal ; and conversely, if in two spherical... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...altitude upon the hypotenuse and the sects of the EXERCISES. SET CIV. PROPORTIONALITY OF SECTS 1423. Triangles are similar if an angle of one is equal to an angle of another and the altitudes drawn from the vertices of the other angles are proportional. 1424. If two... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...the triangle thus formed is similar to the whole triangle. Prop. 80. Two triangles are similar when an angle of one is equal to an angle of the other...the sides including these angles are proportional. Prop 82. Two triangles are similar when their sides are respectively parallel to each other. Prop.... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...similitude of the polygons. THEOREM 102. Two mutually equiangular triangles are similar. THEOREM 119. Two triangles are similar if an angle of one is equal to an angle of the other and the ratios of the including sides are equal. THEOREM 120. Two triangles are similar if the corresponding... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...become homologous sides. PROPOSITION XX. THEOREM 309. Two triangles are similar if an angle of the one is equal to an angle of the other, and the sides including these angles are proportional. A' B Given in A ABC and A'B'C', ZA = Z A', and AB : A'B' = AC : A'C'. To prove A ABC ~ A A'B'C'. HINT.... | |
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