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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 and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 143
by Euclid, James Thomson - 1837 - 390 pages
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Annual Report of the Commissioners ..., Volume 73

1907 - 608 pages
...rectilineal figure which shall be similar to one, and equal to another given rectilineal figure. 4. If two triangles have one angle of the one equal to...those which are opposite to the homologous sides. 5. Parallelograms upon the same base and between the same parallels are equal to one another. SECTION...
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Calendar, Part 1

University of Calcutta - Universities and colleges - 1907 - 458 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. If a polygon is divided into triangles...
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Calendar

University of Allahabad - 1907 - 528 pages
...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...
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The New Zealand University Calendar, Volume 35

University of New Zealand - 1907 - 422 pages
...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...
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Calendar

University of Allahabad - 1908 - 568 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...
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...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...
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - Geometry - 1908 - 228 pages
...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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Atti Del ... Congresso Internazionale Dei Matematici ...

Mathematics - 1909 - 605 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...
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Calendar

University of Allahabad - 1909 - 638 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 s'des about these equal angles proportional, the triangles are similar. The internal bisector of an...
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Annual Report, Volumes 2-3

Civil Service Commission of Canada - Civil service - 1910 - 240 pages
...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...
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