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Six touching circles inside a seventh imply $a+b+c=r$

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#geometry #sangaku
2.1k
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An ancient Japanese geometry problem: Three circles of equal radius inscribed in an isosceles triangle.

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#geometry #sangaku
379
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apollonian circles: why are radius and center dual?

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#geometry #euclidean-geometry #sangaku
1.4k
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Sangaku: Find the Radii of the Inner Circles

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#geometry #puzzle #sangaku
1.8k
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A circle tangent to an ellipse

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#geometry #euclidean-geometry #conic-sections #sangaku
8.5k
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sangaku - a geometrical puzzle

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#geometry #puzzle #sangaku
1.7k
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Sangaku: Show line segment is perpendicular to diameter of container circle

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#geometry #euclidean-geometry #triangles #circles #sangaku
2k
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Sangaku. How to draw those three circles with only a ruler and a compass?

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#geometry #euclidean-geometry #geometric-construction #sangaku
325
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Exploring a Sangaku problem: proving a dilated circle is circumcircle

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#geometry #contest-math #homothety #sangaku
407
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Sangaku: to prove one of the intangents is parallel to $BC$

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#geometry #euclidean-geometry #circles #sangaku
222
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Prove that the sum of the radii of the circles

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#geometry #euclidean-geometry #triangles #circles #sangaku
190
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$10$ circles ($2$ large of radius $R$, $6$ small of radius $r$ and 2 small of radius $t$) are enclosed in a square. How we find $r$ in terms of $t$?

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#geometry #trigonometry #circles #puzzle #sangaku
370
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How these circles are congruent?

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#geometry #contest-math #circles #recreational-mathematics #sangaku
223
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Unique Tangency of circles from Sangaku

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#euclidean-geometry #analytic-geometry #circles #math-history #sangaku
607
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Equilateral triangle and very peculiar inscribed tangent circles

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#geometry #euclidean-geometry #geometric-construction #homothety #sangaku

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