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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 Plane Geometry According to Euclid - Page 129
by Andrew Bell - 1837 - 240 pages

## Minutes of the Committee of Council on Education

...2. About a given circle, to describe a triangle equiangular to a given triangle. 3. 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 equiangular, and shall have...

## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...have those angles equal which are opposite to the homologous sides, PROP. VII. THEOR. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportional; then, if the remaining angles be each either less...

## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 351 pages
...the other, have their sidei about the equal angles reciprocally proportional: and 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. Let AB,...

## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 317 pages
...to one angle of the other, have their sides about the equal angles reciprocally proportional : And parallelograms 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. Let AB,...

## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...equiangular to the triangle DEF. Wherefore, if the sides, &c. QED PROP. VI. THEOR. 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 equiangular, and shall...

## General Report on Public Instruction in the Bengal Presidency

Education - 1843
...angle of 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. 5. A common tangent is...

## The British Annals of Education for ...: Being The Scholastic ..., Volumes 1-2

Education - 1844
...with the touching line, shall be equal to the angles in the alternate segments. 12. 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 equiangular. MECHANICS AND...

## A system of practical mathematics; being no.xvi. of a new series of school-books

...EBG of /_..--•"" the other, have the sides about the D equal angles reciprocally proportional; and parallelograms which have one angle of the one, equal to one angle of the other, and the sides about the equal angles reciprocally proportional, (viz. DB:BE=GB:BF), are equal. Let...