Geometry
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Three Mutually Tangent Circles, Collinear Centers, and Curvilinear Incircle Radii Relations
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Share your proof or solution in the comments below. Target Audience: K-12, Honors Geometry, and College Mathematics Education.In Problem 1627, we explore ...

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Isosceles Right Triangle, Interior Point, Rotation, Invariant Angle, Altitude
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Share your proof or solution in the comments below. Target Audience: K-12, Honors Geometry, and College Mathematics Education.Can a clever geometric ...

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Triangle and Inscribed Rhombus Segment Lengths
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Share your proof or solution in the comments below. Target Audience: K-12, Honors Geometry, and College Mathematics Education.In Problem 1626, we explore ...

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Geometric Challenge Right Triangle, Incircle, Circumscribed Square, Inradius, Area
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Share your proof or solution in the comments below. Target Audience: K-12, Honors Geometry, and College Mathematics Education.In Problem 1624, we explore ...

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Two Adjacent Squares and Bounding Square Proof
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Share your proof or solution in the comments below. Target Audience: K-12, Honors Geometry, and College Mathematics Education.In Problem 1623, we explore ...

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Problems with meeting people!
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Determine all solutions in non-zero integers $a$ and $b$ of the equation $$(a^2+b)(a+b^2) = (a-b)^3.$$ Suppose that the set $\{1,2,\cdots, 1998\}$ has been ...

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Some Geometry Problems for everyone to try!
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 These problems are INMO~ish level. So trying this would be a good practice for INMO!  Let $ABCD$ be a quadrilateral. Let $M,N,P,Q$ be the midpoints of ...

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EGMO 2024 P2
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  This problem is the same level as last year's P2 or a bit harder, I feel. No hand diagram because I didn't use any diagram~ (I head solved it) ...

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AI & The Future of Human Knowledge — Interactive Mind Map
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A visual exploration of the intersection between geometry and artificial intelligence. This interactive map organizes the AI landscape into five ...

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GoGeometry.com (Problem Solutions): Geometric Challenge Problem 1614
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Geometry Challenge 1614: Share your proof or solution in the comments below. Target Audience: K-12, Honors Geometry, and College Mathematics ...

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Geometry Hidden in the Chino Copper Mine
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From space, the El Chino Copper Mine in New Mexico reveals a surprising world of circles, arcs, symmetry, and geometric patterns.Viewed through Google ...

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Right Triangle Area in terms of Inradius and Hypotenuse
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Share your proof or solution in the comments below. Target Audience: K-12, Honors Geometry, and College Mathematics Education.Discover an elegant identity ...

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