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" 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 those angles equal which are opposite to the homologous sides. "
A Shorter Geometry - Page xvi
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Journal of Education

Education - 1914
...thru which they pass. 5. Divide a given straight line internally and externally in a given ratio. 6. If two triangles have one angle of the one equal to one angfe of the other, their areas are proportional to the rectangles contained by the sides about the...
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Calendar, Part 3

University of Calcutta - 1914
...is required.) (b) Prove that each side is bisected at its point of contact 7 with the circle. 8. (a) If two triangles have one angle of the one equal to one 8 angle of the other, and the sides about these equal angles proportional, the triangles are similar....
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Report of the Secretary for Public Instruction ..., Volume 40

Queensland. Department of Public Instruction - Education - 1916
...in I) and E, and the points B, E, and C, I > be joined, then AD AE , AB AC BD =: EC Ģi AD " AE' 3. If two triangles have one angle of the one equal to one angle of the other, and the aides about the equal angles proportionals, the triangles are similar. 4. The areas of similar triangles...
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Statistics of Land-grant Colleges and Universities, Volume 2, Issues 17-31

United States. Office of Education - Agricultural colleges - 1917
...square on AB. BE is drawn at right angles to AC to meet .iCioE. Prove that AE is one-third of AC. 9. If two triangles have one angle of the one equal to...and the sides about these equal angles proportional, prove that the triangles are similar. 10. Draw a straight line 5 inches long and divide it into three...
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The Money Value of Education, Issues 21-34

Alexander Caswell Ellis - Education - 1917 - 50 pages
...square on AB. BE is drawn at right angles to AC to meet .1 C in E. Prove that AE is one-third of A C. 9. If two triangles have one angle of the one equal to...and the sides about these equal angles proportional, prove tha't the triangles are similar. Er,EMEXTART TjUf.ONO ll El'KT. ( Tiro houm) 1. Definp the taneent...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1917
...circumscribing circle of the triangle DEF, 9 units long. 132 SEHIOR ASSOCIATE MATHEMATICS. 7. Prove that, if two triangles have one angle of the one equal to one angle of the other, and the sides about those angles proportional, then the triangles are similar. A CB, DB C are two right-angled triangles...
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The Training of Teachers of Mathematics for the Secondary Schools of the ...

Raymond Clare Archibald - Mathematics - 1918 - 287 pages
...square on AB. BE is drawn at right angles to AC to meet AC in E. Prove that AE is one-third of AC. 9. If two triangles have one angle of the one equal to...and the sides about these equal angles proportional, prove that the triangles are similar. 10. Draw a straight line 5 inches long and divide it into three...
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Bulletin, Issues 27-40

United States. Office of Education - 1918
...square on AB. BE is drawn at right angles to AC to meet .1 C in E. Prove that AE is one-third of A C. 9. If two triangles have one angle of the one equal to one angle ^f the other and the sides about these equal angles proportional, prove that the triangles are similar....
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The Dublin University Calendar

Trinity College (Dublin, Ireland) - 1920
...divides the base into two portions which have to one another the same ratio as the sidca of the triangle. 5. If two triangles have one angle of the one equal to one angle of the other and the sides about the equal angles proportionals, prove that the triangles are similar. 6. Prove that similar triangles...
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Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons

Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 173 pages
...at H and K. Prove that (i) the triangles ABC, DBH, FKC are congruent; (ii) BHKC is a square. Ex. 53. 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 angles in each be both acute, both obtuse, or if one...
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