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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: Also the Book of Euclid's Data ...cor. viz. The ... - Σελίδα 163
των Robert Simson - 1804
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...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,...

Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...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...

Calendar, for the Year ...

1895
...circle. 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 in area...

Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 σελίδες
...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!...

Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 σελίδες
...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...

Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1899
...straight line meeting 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 of this...

Proceedings of the Edinburgh Mathematical Society, Τόμοι 17-18

Edinburgh Mathematical Society - 1899
...If BE and CD be 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. LIST...

New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 382 σελίδες
...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...

New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 252 σελίδες
...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...

The Contents of the Fifth and Sixth Books of Euclid

Euclid, Micaiah John Muller Hill - 1900 - 143 σελίδες
...the other, and the sides 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 in the...




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