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

Euclid - Geometry - 1890 - 442 pages
....-. 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... ## Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...the line joining two alternate vertices of a given length. 7. Prove that 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. 8. In a right-angled triangle, show... ## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...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.... ## Annual Report of the Chief Superintendent of Education

1891 - 720 pages
...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... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...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... ## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 506 pages
...of equal sides equal : then if the angles opposite to the other pair of equal sides be both acute or both obtuse, or if one of them be a right angle, the two triangles are equivalent. 3. If a straight line be divided into two equal and into two unequal... ## Annual Report of the Department of Education

...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...about a second angle in each equal ; then if the third -angle in each be both acute, both obtuse, or if one of them be a right angle, the triangles are equal... ## Annual Report of the Department of Education

...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...about a second angle in each equal; then if the third angle in each be both acute, both obtuse, or if one of them be a right angle, the triangles are equal... ## Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...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 which are... 