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Alexander Bogomolny
Works at CTK Software
Attended Moscow State University
Lives in NJ, USA
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Alexander Bogomolny

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Parametrized quadratic equation with integer solutions http://www.cut-the-knot.org/arithmetic/algebra/UnusualQuadraticEquation.shtml …
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Alexander Bogomolny

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Constructing a regular hexagon from an arbitrary triangle http://www.cut-the-knot.org/m/Geometry/RegularHexagonFromTriangle.shtml
An affine-regular hexagon is constructed starting with an arbitrary triangle. The hexagon then transformed into regular via Napoleon-Barlotti Theorem
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Alexander Bogomolny

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In acute triangles,

a+b+c >= sqrt(2bc.cos(A))+sqrt(2ac.cos(B))+sqrt(2ab.cos(C))

http://www.cut-the-knot.org/arithmetic/algebra/InequalityInAcuteTriangle.shtml
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Alexander Bogomolny

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A novel identity for two perspective triangles sharing the circumcircle http://www.cut-the-knot.org/pythagoras/VanKhea5.shtml
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Alexander Bogomolny

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An approaching great egret is being watched by a common myna that appears wary of the big bird

#birdphotography   #naturephotography  
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Alexander Bogomolny

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Striated heron In the Yehoshua Gardens, Tel-Aviv, Israel

#birdphotography   #naturephotography  
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Alexander Bogomolny

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For the inradii of the 6 Δs cut of by the altitudes, r1.r3.r5 = r2.r4.r6

http://www.cut-the-knot.org/triangle/InradiiByOrthocenter.shtml
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Alexander Bogomolny

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Another inequality for integer sequences - in anticipation of a more general one

http://www.cut-the-knot.org/arithmetic/algebra/InequalityForIntegerSequences2.shtml … 
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Alexander Bogomolny

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Alexander Bogomolny

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Monk parakeets. What a convenience to have a supple neck ... 

#birdphotography   #naturephotography   #urbanphotography  
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Alexander Bogomolny

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A black-crowned night heron that does not appear happy with my intrusion. The Yehoshua Gardens, Tel-Aviv, Israel.

#birdphotography   #naturephotography  
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The wall is dirty and the birds are blurred but I have a feeling that the picture may appeal to the catholics among us. The right bird looks to me like a miniature angel stature attached to the wall, the left one appears to be supplicating

#birdphotography   #naturephotography   #urbanphotography  
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People
Education
  • Moscow State University
    MS Mathematics, 1966 - 1971
  • Hebrew University of Jerusalem
    PhD Mathematics, 1976 - 1981
Basic Information
Gender
Male
Story
Tagline
Love math. Care for math education.
Work
Occupation
Software and web dvelopment, most happily math related
Skills
Mathematics - applied and otherwise, programming Java and C++
Employment
  • CTK Software
    Principal, present
Places
Map of the places this user has livedMap of the places this user has livedMap of the places this user has lived
Currently
NJ, USA