Equivalent area of vertical and horizontal cross sections of a torus

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What would the ratio of the major radius to the minor radius of a torus, such that the area of a horizontal cross section (cutting it into a top half and a bottom half) would be equal to the area of a vertical cross section (cutting it into a left half and a right half)?




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  • It is easy to show - 1/4, which means that your Q is meaningless as stated.
    – Moti
    Jul 19 at 23:33














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What would the ratio of the major radius to the minor radius of a torus, such that the area of a horizontal cross section (cutting it into a top half and a bottom half) would be equal to the area of a vertical cross section (cutting it into a left half and a right half)?




geometry




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  • It is easy to show - 1/4, which means that your Q is meaningless as stated.
    – Moti
    Jul 19 at 23:33












up vote
0
down vote

favorite









up vote
0
down vote

favorite











What would the ratio of the major radius to the minor radius of a torus, such that the area of a horizontal cross section (cutting it into a top half and a bottom half) would be equal to the area of a vertical cross section (cutting it into a left half and a right half)?




geometry




share|cite|improve this question











What would the ratio of the major radius to the minor radius of a torus, such that the area of a horizontal cross section (cutting it into a top half and a bottom half) would be equal to the area of a vertical cross section (cutting it into a left half and a right half)?





geometry





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asked Jul 19 at 22:05









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  • It is easy to show - 1/4, which means that your Q is meaningless as stated.
    – Moti
    Jul 19 at 23:33
















  • It is easy to show - 1/4, which means that your Q is meaningless as stated.
    – Moti
    Jul 19 at 23:33















It is easy to show - 1/4, which means that your Q is meaningless as stated.
– Moti
Jul 19 at 23:33




It is easy to show - 1/4, which means that your Q is meaningless as stated.
– Moti
Jul 19 at 23:33















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