### Alexander Bogomolny

Shared publicly -Flown by wind, a seed has landed in a puddle, losing all hope to take part in evolution

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Alexander Bogomolny

Works at CTK Software

Attended Moscow State University

Lives in NJ, USA

93,959 views

AboutPostsPhotosVideos

Flown by wind, a seed has landed in a puddle, losing all hope to take part in evolution

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A generalization of a theorem by Archimedes concerning triangle formed by tangents to parabola

http://www.cut-the-knot.org/m/Geometry/ParabolaTangentToTriangle.shtml …

http://www.cut-the-knot.org/m/Geometry/ParabolaTangentToTriangle.shtml …

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Abelian group of points on a circle. A geometric approach

http://www.cut-the-knot.org/m/Geometry/CircleMultiplication.shtml

http://www.cut-the-knot.org/m/Geometry/CircleMultiplication.shtml

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Protruding eyes - a truly salient frog's feature

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The carpet of lily leaves appears floating over water

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In his circles

40 people

Butterflies with wing tips in parabola http://www.cut-the-knot.org/m/Geometry/ButterflyInParabola.shtml

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Rectified eyeballs have projective nature, after all, with more concurrences than originally claimed

http://www.cut-the-knot.org/m/Geometry/BeyondEyeballing.shtml

http://www.cut-the-knot.org/m/Geometry/BeyondEyeballing.shtml

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Multiplication of points on a circle extends naturally to an abelian group structure on any conic; projective and analytic views.

http://www.cut-the-knot.org/m/Geometry/EllipseMultiplication.shtml

http://www.cut-the-knot.org/m/Geometry/EllipseMultiplication.shtml

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Conveying eternal wisdom in pictures: what you see is a matter of where you stand

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If I had not made this picture I would not have noticed the Statue of Liberty on the horizon. As it is, it was on a straight line of view from us through the Verrazano bridge, from which it is about 5 miles away. I'd guess that we were at least twice as far from the bridge but on a hilltop. The calculations (http://en.wikipedia.org/wiki/Horizon) seem to support the observations

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By 2 inversions, 2 circles (neither within the other) can be mapped onto equal circles

http://www.cut-the-knot.org/m/Geometry/InversionInInversion.shtml

http://www.cut-the-knot.org/m/Geometry/InversionInInversion.shtml

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People

In his circles

40 people

Work

Occupation

Software and web dvelopment, most happily math related

Skills

Mathematics - applied and otherwise, programming Java and C++

Employment

- CTK SoftwarePrincipal, present

Places

Currently

NJ, USA

Links

YouTube

Other profiles

Contributor to

Story

Tagline

Love math. Care for math education.

Education

- Moscow State UniversityMS Mathematics, 1966 - 1971
- Hebrew University of JerusalemPhD Mathematics, 1976 - 1981

Basic Information

Gender

Male