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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: Viz. the First Six Books, Together with the Eleventh ... - Σελίδα 153
των Euclid - 1835 - 513 σελίδες
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Calendar, Μέρος 1

University of Calcutta - 1907 - 458 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...

Calendar

University of Allahabad - 1907 - 528 σελίδες
...co/iverse. 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...

The New Zealand University Calendar, Τόμος 35

University of New Zealand - 1907 - 422 σελίδες
...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...

Calendar

University of Allahabad - 1908 - 568 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. The internal bisector of an angle of a...

Science Examination Papers

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

Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - 1908 - 228 σελίδες
...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....

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

1909 - 605 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. The internal bisector of an angle of a...

Calendar

University of Allahabad - 1909 - 638 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 s'des about these equal angles proportional, the triangles are similar. The internal bisector of an...

Annual Report, Τόμοι 2-3

Civil Service Commission of Canada - 1910 - 240 σελίδες
...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 of the other have their sides about the equal angles reciprocally proportional. Describe an isosceles triangle equal...

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....




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