If we assume like in Problem #204 that the area will be minimum when the tangent makes an angle 0f 150 deg. to the x-axis (the reflection of the tangent on to the x-axis giving us an ET). Calculation based on this assumption gives a minimum area of 2.388385504.... which is close to 64/27 but not exactly so. Ajit
The answer should be exact. We can not assume that the tangent angle is 150 degrees. Interestingly we have received an almost-purely geometric solution for this and Fox 260.
If we assume like in Problem #204 that the area will be minimum when the tangent makes an angle 0f 150 deg. to the x-axis (the reflection of the tangent on to the x-axis giving us an ET). Calculation based on this assumption gives a minimum area of 2.388385504.... which is close to 64/27 but not exactly so.
ReplyDeleteAjit
The answer should be exact. We can not assume that the tangent angle is 150 degrees. Interestingly we have received an almost-purely geometric solution for this and Fox 260.
ReplyDelete