| University of Calcutta - Universities and colleges - 1907
...converse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** these equal angles proportional, the triangles are similar. If a polygon is divided into triangles... | |
| University of New Zealand - 1907
...parallel to one side of a triangle, the other sides are divided proportionally; and the converse. It' **two triangles have one angle of the one equal to one angle of the other, and the sides about** their equal angles proportional, the triangles are similar. The internal bisector of an angle of a... | |
| Great Britain. Education Department. Department of Science and Art - 1908
...angles ABC, DEF are equal, and the angles ACB, DFE are supplementary ; show that AB : DE = AC: DF. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** one other angle in each proportional, so that the sides opposite equal angles correspond, show that... | |
| University of Allahabad - 1908
...converse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. **If two triangles have one angle of the one equal to one angle of the other and the sides about** these equal angles proportional, the triangles are similar. The internal bisector of an angle of a... | |
| Walter Percy Workman - Geometry - 1908
...thenproveT.il andT.llcby means of Ar.6. 309. THEOREM [Ar.7.]. — It two triangles (or two parallelograms) **have one angle of the one equal to one angle of the other,** their areas are in the ratio of the products of tbe •ides containing the equal angles. (i) In Fig.... | |
| Alexander H. McDougall - Geometry - 1910 - 302 pages
...and meets DF at H. Prove that A EKH : A FKH = ED : DF. THEOREM 10 If two triangles have one angle of **one equal to one angle of the other and the sides about** these angles proportional, the triangles are similar, the equal angles being opposite corresponding... | |
| Trinity College (Dublin, Ireland) - 1911
...equal angles proportionals, the triangles are equiangular. 10. Prove that equal parallelograms which **have one angle of the one equal to one angle of the other** have their sides about the equal angles reciprocally proportional. ALGEBRA AMD ARITHMETIC. MR. WEBB.... | |
| Education - 1915
...converse. If two triangles are equiangular their corresponding sides are proportional; and the converse. **If two triangles have one angle of the one equal to one angle of the other and the sides about** these equal angles proportional, the triangles are similar. The internal bisector of an angle of a... | |
| Edson Homer Taylor - Mathematics - 1915 - 96 pages
...converse. If two triangles are equiangular their corresponding sides are proportional; and the converse. **If two triangles have one angle of the one equal to one angle of the other and the sides about** these equal angles proportional, the triangles are similar. The internal bisector of an angle of a... | |
| Education - 1915
...converse. If two triangles are equiangular their corresponding sides are proportional; and the converse. **If two triangles have one angle of the one equal to one angle of the other and the sides about** these equal angles proportional, the triangles are similar. The internal bisector of an angle of a... | |
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