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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: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 156
av Robert Simson - 1781 - 466 sider
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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 are homologous,...
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Glasgow University Calendar

University of Glasgow - 1883
...EBC together make up a right angle. 4. Inscribe u circle in a given triangle. 5. Parallelograms that 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. 6. Simplify...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...parallelogram BC. [V. 9. Wherefore, equal parallelograms &c. QED PROPOSITION 15. THEOREM. Equal triangles which have one angle of the one equal to one angle of the other, have their fides about the equal angles reciprocally proportional; and triangles which have one angle...
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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...
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Cambridge University Examination Papers

University of Cambridge - 1884
...exterior angle made by producing one of the sides through the vertex. 9. Equal parallelograms, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. WEDNESDAY, December 5, 1883. 12$...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...= ir BC: ir FE; • ||m AB : ||m FE = ir BC: r FE; PROPOSITION 15. THEOREMS. 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. Conversely : Triangles which have...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...in E, shew that AB touches the circumscribing circle of the triangle CDE. 10. 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 ; and triangles which have one angle...
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Examinations Papers

1884
...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 of the other have their sides about the equal angles reciprocally proportional. If one of the said sides in the...
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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 : : FG : GH....
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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
...shall have those angles equal which are opposite to the homologous sides. 8. Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. (b) 9. Explain the terms adjacent,...
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