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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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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 páginas
....-. a AC = a BF. (/3) is true. EUCLID Proposition 15. THEOREMS — (a) Triangles of equal area which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : (/3) and conversely, if two triangles...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 páginas
...segments of the base. What is the corresponding proposition for the external bisector ? 8. Triangles which have one angle of the one equal to one angle of the other, have to one another the ratio which is compounded of the ratios of the sides about the equal angles....
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Annual Report of the Chief Superintendent of Education

1891 - 718 páginas
...and those which are opposite to the equal angles are homologous sides. 6. 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. NB — Female candidates will receive...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 páginas
...sides at E, F: shew that the triangle AEF is a mean proportional between the triangles FED, EDC. 2. If two triangles have one angle of the one equal to one angle of the other, and a second angle of the one supplementary to a second angle of the other, then the sides about the third...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 páginas
...the common pump. IM GEOMETRY. Time, 1 hr. 30 win. 1 or 2 and all tlie rest make a full paper. 1. (a) If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal; then if the third angle in each be both acute, both obtuse,...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 806 páginas
...the common pump. IM GEOMETRY. Time, 1 hr. 30 min. 1 or 2 and all the rest make a full paper. 1. (a) If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal ; then if the third -angle in each be both acute, both obtuse,...
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Journal of Education

1893 - 892 páginas
[ Lo sentimos, el contenido de esta página está restringido. ]
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 894 páginas
...to attempt more than eight question*. The values attached to the questions are shown in brackets. 1. If two triangles have one angle of the one equal to one angle of the other, and the sides about these equal angles proportional, show that the triangles are similar, and that those angles...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 páginas
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. 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. Given A A1 B1d, A2B2C2, such that Z d = Z...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 346 páginas
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. 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. Given AA^d, A2B2C2, such that ZG! = Z C2 and...
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