A regular dodecagon and three equilateral triangles. What’s the proportion purple : green?
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The crown jewel
Tag: proportion
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The oppressed minority
A square with two inscribed squares. What is the maximal proportion green : blue?
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The hand fan
Three congruent triangles constitute a quadrilateral. What’s red : blue?
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Pointing upwards
A square containing two equilateral triangles. What’s the proportion blue : orange?
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The motorcycle
Two congruent orange circles and a smaller blue one. Three common tangents are shown, one of which passes through a circle centre. What is the proportion blue : orange?
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At navel level
Two equilateral triangles share a vertex. The centre of the larger one is aligned with the midpoint of a side of the smaller one. What is green : red?
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Sharing is caring
Three equilateral triangles and three shared vertices. What’s the proportion blue : green?
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Harmonic proportions
A trapezium with its diagonals and a parallel line segment. Prove that yellow : purple = blue : red.
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The common focus
A parabola, its symmetry axis and a tangent. Yellow connects the focus to the intersection point. Red connects the focus to the tangency point. What’s yellow : red?
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The purple hat
A circle with three tangents forming an isosceles triangle. Two tangency points are shown. What is the proportion green : red?