List questions from sangaku

Published on 06 Dec 2023 - 22:49

2.1k

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

Published on 14 Apr 2015 - 21:58

378

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apollonian circles: why are radius and center dual?

Published on 10 Apr 2013 - 18:51

1.4k

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Sangaku: Find the Radii of the Inner Circles

Published on 31 Jan 2014 - 6:44

1.8k

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A circle tangent to an ellipse

Published on 15 Jul 2017 - 12:13

8.5k

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sangaku - a geometrical puzzle

Published on 12 Sep 2010 - 15:21

1.7k

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Sangaku: Show line segment is perpendicular to diameter of container circle

Published on 22 Dec 2011 - 1:52

2k

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Sangaku. How to draw those three circles with only a ruler and a compass?

Published on 03 Jan 2013 - 21:40

325

Views

Exploring a Sangaku problem: proving a dilated circle is circumcircle

Published on 23 Feb 2026 - 2:37

406

Views

Sangaku: to prove one of the intangents is parallel to $BC$

Published on 27 Nov 2020 - 16:48

221

Views

Prove that the sum of the radii of the circles

Published on 28 Nov 2020 - 16:28

189

Views

$10$ 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 $t$?

Published on 29 Sep 2021 - 13:01

368

Views

How these circles are congruent?

Published on 06 Oct 2021 - 7:06

222

Views

Unique Tangency of circles from Sangaku

Published on 20 Nov 2021 - 13:09

606

Views

Equilateral triangle and very peculiar inscribed tangent circles

Published on 06 Jan 2022 - 0:09

List Question

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

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

apollonian circles: why are radius and center dual?

Sangaku: Find the Radii of the Inner Circles

A circle tangent to an ellipse

sangaku - a geometrical puzzle

Sangaku: Show line segment is perpendicular to diameter of container circle

Sangaku. How to draw those three circles with only a ruler and a compass?

Exploring a Sangaku problem: proving a dilated circle is circumcircle

Sangaku: to prove one of the intangents is parallel to $BC$

Prove that the sum of the radii of the circles

$10$ 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 $t$?

How these circles are congruent?

Unique Tangency of circles from Sangaku

Equilateral triangle and very peculiar inscribed tangent circles

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