 | Education - 1879 - 944 pages
...they have two angles of the one equal to two angles of the other; Two triangles are similar If they have an angle of the one equal to an angle of the other and the including sides proportional ; Two triangles are similar If they have their sides respectively... | |
 | Cora Lenore Williams - Geometry - 1905 - 50 pages
...ratio of similitude. Prop. 110. Mutually equiangular triangles are similar. Prop. 111. If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. Prop. 112. If two triangles have their corresponding... | |
 | Cora Lenore Williams - Geometry - 1905 - 122 pages
...parallelograms have two adjacent sides of the one equal respectively to two adjacent sides of the other, and an angle of the one equal to an angle of the other, the parallelograms are congruent. Prop. 78. Two rectangles are congruent if two adjacent sides of the... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...have the ZA common and the including sides proportional. .-. the A OAB and BAC are similar. " If two A have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar." § 354 But the A OAB is isosceles. § 221... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...is a mean proportional between the segments of the other. 51. Two parallelograms are similar if they have an angle of the one equal to an angle of the other and the including sides proportional. 52. Two rectangles are similar if two adjoining pairs of homologous... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...Z A'O'B', § 442 and OA : OB = O'A' : O'B'. .-. the A OAB and O'A'B' are similar. "If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar." § 354 /. AB : A'B' = OA : O'A' § 349 = OH... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...is a mean proportional between the segments of the other. 51. Two parallelograms are similar if they have an angle of the one equal to an angle of the other and the including sides proportional. 52. Two rectangles are similar if two adjoining pairs of homologous... | |
 | Trinity College (Dublin, Ireland) - 1907 - 536 pages
...and E respectively, so that OA : AD = CB : BE, prove that DE is parallel to AB. 8. If two triangles have an angle of the one equal to an angle of the other and the sides about the equal angles reciprocally proportional, prove the triangles equal in area.... | |
 | Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...half its area, from whose sides the given circle shall cut off equal chords. (25) 43. If two triangles have an angle of the one equal to an angle of the other and the sides about those angles proportional, show that the triangles are equiangular to one another.... | |
 | Michigan. Department of Public Instruction - Education - 1909 - 356 pages
...through a point in the circumference of a circle two chords are drawn, 4. (a) 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. (b) To trisect a right angle. (c)... | |
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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. 
