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" 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 Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 141
by Robert Simson - 1827 - 513 pages
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1908
...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...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

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....
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The Ontario High School Geometry: Theoretical

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...
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The Dublin University Calendar, Volume 1

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....
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Bulletin, Issues 38-46

Education - 1915
...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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Bulletin, Issues 33-43

Education - 1915
...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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Mathematics in the Lower and Middle Commercial and Industrial ..., Issues 34-42

Edson Homer Taylor - Mathematics - 1915 - 96 pages
...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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Statistics of Land-grant Colleges and Universities, Volume 2, Issues 17-31

United States. Office of Education - Agricultural colleges - 1917
...AB. BE is drawn at right angles to AC to meet AC in E. Pro ve that A .Bisoņe- third of AC. 9. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, prove that the triangles are similar. 10. Draw a straight line 5 inches...
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The Money Value of Education, Issues 21-34

Alexander Caswell Ellis - Education - 1917 - 50 pages
...5.E is drawn at right angles to .<4 C' to meet Ada E. Prove that AE is one-third of A C. 9. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, prove that the triangles are similar. 10. Draw a straight line 5 inches...
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Bulletin, Issues 27-40

United States. Office of Education - 1918
...AB. BE is drawn at right angles to AC to meet AC in E. Prove that AE is one-third of AC. 9. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, prove that the triangles are similar. 10. Draw a straight line 5 inches...
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