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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: Containing the Principal Propositions in the First Six ... - Página 166
por Euclid - 1789 - 272 páginas
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Calendar, for the Year ...

1895 - 142 páginas
...Being given a side of a regular pentagon, construct it. 4. Triangles which are equal in area, and 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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Calendar, for the Year ...

1897 - 154 páginas
...cn the same arc. Deduce that all angles in the same segment of a circle are equal to one another. 4. If two triangles have one angle of the one equal to one angle of tt;e oiher, and the sides about the equal angles proportionals, shew that the triangles are similar....
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Euclid, Libros 1-4

Rupert Deakin - 1897 - 344 páginas
[ Lo sentimos, el contenido de esta página está restringido. ]
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 272 páginas
...respectively parallel or perpendicular to the sides of the other, they are similar. PROPOSITION XVIII. 264. Theorem. If two triangles have one angle of the one equal to one angle of the other, and the including sides proportional, the triangles are similar. C, Given A A1B^i, AJB^C2, such that Z Ci =...
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1899 - 348 páginas
...AB in D and AC in E, so that DP may be a fourth part of PE. Dl 44. Prove that equal triangles, which have one angle of the one equal to one angle of the other, have the sides about the equal angles reciprocally proportional ; and state and prove the converse...
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - 1899 - 340 páginas
...joined, the triangles EAB, DAC are halves of the parallelograms BE, CD. Hence, Two triangles which have one angle of the one equal to one angle of the other have to each other the same ratio as the rectangles contained by the sides about the equal angles....
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 566 páginas
...inscribed in the smaller circle. 7. Define the terms submultiple, ratio, homologous, duplicate ratio. 8. 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. In a given straight Hue...
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Special Reports on Educational Subjects, Volúmenes6-7

Great Britain. Board of Education - 1900 - 906 páginas
...inscribed in the smaller circle. 7. Define the terms submultiple, ratio, homologous, duplicate ratio. 8. 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. 4333. M In a given straight...
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Examination Papers

University of Toronto - 1900 - 1164 páginas
...the other, have their sides about the equal angles reciprocally proportional ; and 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. Use this proportion...
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The Contents of the Fifth and Sixth Books of Euclid

Euclid, Micaiah John Muller Hill - 1900 - 190 páginas
...about the equal angles reciprocally proportional, are equal in area. 49. (i) 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. (ii) Triangles which have one angle...
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