Alexander's interests

Alexander's posts

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Simple Inequality with a Variety of Solutions. Find something essentially deffierent

http://www.cut-the-knot.org/m/Algebra/SimpleInequalityWithVarietyOfSolutions.shtml

#FigureThat

http://www.cut-the-knot.org/m/Algebra/SimpleInequalityWithVarietyOfSolutions.shtml

#FigureThat

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I is the incenter of ΔABC. The circumcenters of Δs ABI, BCI, CAI lie on the circumcircle of ΔABC

http://www.cut-the-knot.org/Curriculum/Geometry/IncirclesCircumcircles.shtml

#FigureThat #geometry #math

http://www.cut-the-knot.org/Curriculum/Geometry/IncirclesCircumcircles.shtml

#FigureThat #geometry #math

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I is the incenter of ΔABC, O the circumcenter of ΔBIC. Prove: O lies on AI

http://www.cut-the-knot.org/Curriculum/Geometry/CircumcenterOnAngleBisector.shtml

#FigureThat #geometry

http://www.cut-the-knot.org/Curriculum/Geometry/CircumcenterOnAngleBisector.shtml

#FigureThat #geometry

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Hlawka-like inequality for convex functions

http://www.cut-the-knot.org/arithmetic/algebra/HlawkaLikeInequalityForConvexFunctions.shtml

#FigureThat #algebra #inequality

http://www.cut-the-knot.org/arithmetic/algebra/HlawkaLikeInequalityForConvexFunctions.shtml

#FigureThat #algebra #inequality

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Never before have I seen a killdeer settling between stones or anywhere else. Usually they just run around along a shoreline, picking food. This one was settling in crevices every few steps. I expected her to start laying eggs but eventually it flew away, perhaps annoyed by my following her arround

#birdphotography #naturephotography

#birdphotography #naturephotography

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Just a flying heron and water - no occlusions, no distractions

#birdphotography #naturephotography #birdsinflight

#birdphotography #naturephotography #birdsinflight

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It seems to me that heron's eyes could be seen even from behind, though, perhaps, one should make an effort

#birdphotography #naturephotography

#birdphotography #naturephotography

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Cyclic inequality in three variables XXIV

http://www.cut-the-knot.org/m/Algebra/CyclicInequalityInThreeVariables24.shtml

#FigureThat #algebra #inequality

http://www.cut-the-knot.org/m/Algebra/CyclicInequalityInThreeVariables24.shtml

#FigureThat #algebra #inequality

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