Hossein Ghayour
Mr. Hossein Ghayour, associate professor in Teachers Training University, with due attention
to his proficiency and conversancy in geometry, in particular in solving its problems, was
Dr. Mohsen Hashtroudi's full confirmed and cared. The late professor, whether in speech or
lectures and whether in his writings about some of problems, mentioned Hossein Ghayour
as an initiator of the most beautiful solutions of these problems. Hence, Mr. Ghayour was
requested to send memoirs which he had from Prof. Hashtroudi, to publish in this collection.
He wrote his first own memoir.
The first visit with Professor Hashtroudi
In 19?? when I studied in Daneshsara Aali, the National Teacher Training College, in the first
visit with Professor Hashtroudi, the following problem which I myself had propounded and
due to unfamiliarity with advanced mathematics I attempted vainly to solve it, I put up it for
discussion with him.
The problem was this:
Draw a line which creates three chords with equal length in three circles.
The professor, without writing anything on paper, after some minutes walking and thinking,
siad: “the solution of this problem is related to drawing of common tangent to two parabolas
and so it is not solvable by geometrical drawing.”
At the same night of that day, after reading, studying and caring in the problem, I realized
correctness of his words and was surprised his quickness of apprehension and mental acuity.
Laters when I was honoured to become one of his students, I found out frequently that this
answer has been not at all accidental and or precedent.
Most his students who are now professors and teachers, have many memoirs such as this issue
from that great noble man.
For that the statement of above memoir is not attributed to exaggerartion or student's extreme
affection to the late teacher, young students and those who deal with mathematics, think about
this problem and prove how its solution leads to drawing a common tangent to two parabolas.
Translated by Fariba Elliee
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