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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, containing the first six books, with a selection of ... - Σελίδα 199
των Euclides - 1874
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Calendar

University of Allahabad - 1910 - 682 σελίδες
...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 an^'le of the other and the sides about these equal angles proportional, the triangles are similar....

Calendar

University of Allahabad - 1911 - 726 σελίδες
...two triangles are equiangular, their corresponding sides are proportional ; and the converse. If wo 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...

The Dublin University Calendar, Τόμος 1

Trinity College (Dublin, Ireland) - 1911 - 614 σελίδες
...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....

Special Reports on Educational Subjects, Τόμοι 26-27

Great Britain. Board of Education - 1912 - 1044 σελίδες
...If two triangles are equiangular their corresponding sides are proportional ; and the converse. 38. 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. 39. The internal bisector of an angle of...

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 σελίδες
...internally, the straight line through their centres passes through the point of contaot. 10. Prove that if two triangles have one angle of the one equal to one angle of the other, and the aides about these angles proportional, the triangles are similar. Prove that if the two triangles ABC,...

The Calendar

University of South Africa - 1913 - 768 σελίδες
...equiangular, their corresponding sides are proportional, and conversely. Definition of similar triangles. 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 and external bisectors of...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1913 - 274 σελίδες
...side. 9. Show how to construct a regular pentagon upon a given finite straight line. 10. Prove that if two triangles have one angle of the one equal to one angle of the other tod the sides about those angles proportional the triangles will be similar. 11. Show how to divide...

Calendar, Μέρος 4

University of Calcutta - 1913 - 816 σελίδες
...touching the first one at A and also 6 touching the line EC. NB — Required, the constructions only. 8. If two triangles have one angle of the one equal to one angle 7 of the other, and the sides about these equal angles proportional, prove that the triangles are similar....

Regulations

University of Calcutta - 1914 - 430 σελίδες
...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...

Journal of Education

1914 - 914 σελίδες
...thru which they pass. 5. Divide a given straight line internally and externally in a given ratio. 6. If two triangles have one angle of the one equal to one angfe of the other, their areas are proportional to the rectangles contained by the sides about the...




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