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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 first six books of the Elements of Euclid, with numerous exercises - Σελίδα 126
των Euclides - 1853 - 147 σελίδες
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1908 - 328 σελίδες
...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,...

Annual Report, Τόμοι 2-3

Civil Service Commission of Canada - 1910
...parallel to CA to meet BA at E ; show that the triangles BDE, ADC are equal in area. 9. Equal triangles which have one angle of the one equal to one angle...about the equal angles reciprocally proportional. Describe an isosceles triangle equal in area to a given triangle and having its vertical angle equal...

Atti Del ... Congresso Internazionale Dei Matematici ...

1909
...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...

Calendar

University of Allahabad - 1910
...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 oth^r and the sides about these equal angles proportional, the triangles are similar. The internal...

The Dublin University Calendar, Τόμος 1

Trinity College (Dublin, Ireland) - 1911
...other sides or those sides produced proportionally. State the converse. 9. Prove that if two triangles have one angle of the one equal to one angle of the other and the sides about the equal angles proportionals, the triangles are equiangular. 10. Prove that equal...

The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912
...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...

The Calendar

University of South Africa - 1913
...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...

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1913
...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...

Regulations

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

Bulletin, Τεύχη 33-43

1915 - 816 σελίδες
...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...




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