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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.
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Σελίδα 161
των Euclid - 1810 - 518 σελίδες
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## The Dublin University Calendar, Τόμος 1

Trinity College (Dublin, Ireland) - 1911 - 616 σελίδες
...equal angles proportionals, the triangles are equiangular. 10. 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. ALGEBRA AMD ARITHMETIC. MR. WEBB....

## The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 σελίδες
...internally, the straight line through their centres passes through the point of contaot. 10. Prove that if two triangles have one angle of the one equal to one angle of the other, and the aides about these angles proportional, the triangles are similar. Prove that if the two triangles ABC,...

## Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1913 - 274 σελίδες
...side. 9. Show how to construct a regular pentagon upon a given finite straight line. 10. Prove that if two triangles have one angle of the one equal to one angle of the other tod the sides about those angles proportional the triangles will be similar. 11. Show how to divide...

## Calendar, Μέρος 4

University of Calcutta - 1913 - 816 σελίδες
...touching the first one at A and also 6 touching the line EC. NB — Required, the constructions only. 8. If two triangles have one angle of the one equal to one angle 7 of the other, and the sides about these equal angles proportional, prove that the triangles are similar....

## Calendar, Μέρος 3

University of Calcutta - 1914 - 822 σελίδες
...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....

## Journal of Education

1914 - 914 σελίδες
...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...

## Report of the Secretary for Public Instruction ..., Τόμος 40

Queensland. Department of Public Instruction - 1916 - 244 σελίδες
...in I) and E, and the points B, E, and C, I > be joined, then AD AE , AB AC BD =: EC £i 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...

## Bulletin, Τεύχη 27-40

United States. Office of Education - 1918 - 1130 σελίδες
...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....

## Abraham Lincoln: The Prairie Years, Τόμος 1

Carl Sandburg - 1926 - 528 σελίδες
...stand on equal arcs, whether they be at the centres or circumferences," and "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; and parallelograms which have one...

## Abraham Lincoln: The Prairie Years,

Carl Sandburg - 1926 - 528 σελίδες
...stand on equal arcs, whether they be at the centres or circumferences," and "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; and parallelograms which have one...