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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.
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 29
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages

## Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...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...

## Calendar, for the Year ...

1895 - 142 pages
...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...

## Calendar, for the Year ...

1897 - 154 pages
...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....

## New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 400 pages
...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. A, Bi Given A AiBiCi, A^B2C^, such that Z...

## New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...the sides of the other, they are similar. PLANE GEOMETRY. [BK. IV. 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. Given AA^Ci, A2B2C2, such that Z Cl = Z (72...

## Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - Electronic journals - 1899 - 342 pages
...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....

## Science Examination Papers

...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...

## Special Reports on Educational Subjects, Volumes 6-7

Great Britain. Board of Education - Education - 1900 - 906 pages
...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 line PQ...