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Attractive problem

Equilateral triangles of sides \(1, 3, 5, …, 2n−1\), are placed end-to-end along a straight line.

Show that the vertices which do not lie on the line all lie on a parabola and that their focal radii are all integers.

Note by U Z
2 years, 9 months ago

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That's so beautiful! Thanks for sharing :)

Shashwat Shukla - 2 years, 9 months ago

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Hi Megh

Is the equation of the parabola : \( y^{2} = 3(x+\frac{1}{4}) \) ?

Azhaghu Roopesh M - 2 years, 9 months ago

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Ok,then?

U Z - 2 years, 9 months ago

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Ok, I'll try posting a proof later on :)

Azhaghu Roopesh M - 2 years, 9 months ago

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