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Parabolas Related to a Triangle*

Published online by Cambridge University Press:  03 November 2016

P. S. Rau
P. S. Rau*
Affiliation:
Andhra University, Waltair, South India
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Extract

Let ABC be a plane triangle with D, E, F the midpoints of the sides BC, CA, AB respectively. Let L, L’ be two real intersecting straight lines in the plane. Then it can easily be seen, as in § 1 below, that if parallelograms are described on the three sides as diagonals, each with its sides parallel to L, L’, then the other diagonals of these parallelograms are concurrent at a finite point of the plane, which may be denoted by P(L, L’). An attempt to determine those points of the plane which are such points of concurrence has led to the following results.

Type
Research Article
Information
The Mathematical Gazette , Volume 38 , Issue 326 , December 1954 , pp. 253 - 257
Copyright
Copyright © The Mathematical Association 1954

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Footnotes

*

The results of this paper were announced by me at the 17th Conference of the Indian Mathematical Society held at Bangalore, in December 1951.

References

* The results of this paper were announced by me at the 17th Conference of the Indian Mathematical Society held at Bangalore, in December 1951.