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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. "
Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund Stone - Page 31
by Euclid - 1728
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...diagram have their sides proportional, but are not equiangular to one another. PROPOSITION 6. THEOREM. 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 shall be similar....
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Science Examinations ... Reports, Etc

1906 - 502 pages
...; Failed, 21 ; Total, 94. The work in this Stage quite reaches the standard of last year. A. Q. 41. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, show that the triangles are...
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The New International Encyclopaedia, Volume 18

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1906 - 936 pages
...QVIPRILATKRI LS. one respectively parallel or perpendicular to the sides of the other, they are similar. If two triangles have one angle of the one equal to one angle of the other, and the including ģides proportional, the triangles are similar. If two 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....
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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 one angle of the other, and the sides about the equal angles proportionals ; the remaining angles are equal,...
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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....
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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...
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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....
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1911 - 614 pages
...triangle it cuts the 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....
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...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...
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