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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 - Seite 126
von Euclides - 1853 - 147 Seiten
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883
...similar, and those angles which are opposite to the homologous sides are equal. THEOR. 5. 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 the equal angles...
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Cambridge University Examination Papers

University of Cambridge - 1884
...of section shall bisect the exterior angle made by producing one of the sides through the vertex. 9. Equal parallelograms, which have one angle of the...about the equal angles reciprocally proportional. WEDNESDAY, December 5, 1883. 12$ — 3. EUCLID. (B) 1. DRAW a straight line perpendicular to a given...
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Examinations Papers

1884
...pentagon in a given circle. Inscribe a regular figure of ten sides in a given circle. 3. Equal triangles which have one angle of the one equal to one angle...about the equal angles reciprocally proportional. If one of the said sides in the one triangle be equal to one of the said sides in the other triangle...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...angle of the other, have their sides about the equal angles reciprocally proportional. Conversely ; Parallelograms which have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, are equal. G' (1) Let AB and BC be...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...a parallelogram ACBD; bisect AC, BD, in E and F. Join DE, FC, cutting AB in G and H. 11. Triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another. II. ARITHMETIC....
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Calendar of Dalhousie College and University

Dalhousie University - 1884
...the angles of two triangles are proportional, the triangles -are equiangular. 8. Equal triangles that have one angle of the one -equal to one angle of the other, have the sides about the equal angles reciprocally proportional. Extend the enunciation, shewing why you...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...Д the tangents drawn to the circles from' any point \n Afí produced aro equal to one another. 9. Equal parallelograms, which have one angle of the one equal to one angle of the other, havo their eidos about the equal angles reciprocally proportional. FRIDAY, October 10, 1884. О—1Ц....
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THE ELEMENTS OF GEOMETRY.

GEORGE BRUCE HALSTED - 1885
...equal.) therefore, by 491, GH = BH'. In the same way HF = H'F', THEOREM VII. 511. Two triangles having one angle of the one equal to one angle of the other, and the sides about these angles proportional, are similar. HYPOTHESIS. £ B = £ G, and AB : BC :...
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The Elements of Geometry

George Bruce Halsted - 1886 - 366 Seiten
...equal.) therefore, by 491, GH = BH'. In the same way HF = H'F', THEOREM VII. 511. Two triangles having one angle of the one equal to one angle of the other, and the sides about these angles proportional, are similar. HYPOTHESIS. £ B = $. G, and AB : BC :...
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The Elements of Plane Geometry:pPart I(corresponding to Euclid Books I.-II ...

Association for the Improvement of Geometrical Teaching - 1888
...intercepted between the sides of each triangle are equal to one another. THKOR. 3. If two triangles have one angle of the one equal to one angle of the other and the sides about these angles proportional, they are similar, and those angles which are opposite...
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