| 1879
...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 - 1905 - 42 pagina’s
...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 - 1905 - 42 pagina’s
...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 - 1906 - 418 pagina’s
...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 - 1906 - 254 pagina’s
...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 - 1906
...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 - 1907 - 412 pagina’s
...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
...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 Dept. Dept. of Science and Art - 1908
...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 - 1909
...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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