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.

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.

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestThat's so beautiful! Thanks for sharing :) – Shashwat Shukla · 1 year, 7 months ago

Log in to reply

Hi Megh

Is the equation of the parabola : \( y^{2} = 3(x+\frac{1}{4}) \) ? – Azhaghu Roopesh M · 1 year, 7 months ago

Log in to reply

– Megh Choksi · 1 year, 7 months ago

Ok,then?Log in to reply

– Azhaghu Roopesh M · 1 year, 7 months ago

Ok, I'll try posting a proof later on :)Log in to reply