Inscribed squares in plane curves

Jerrard, R. P.

doi:10.1090/S0002-9947-1961-0120604-3

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Inscribed squares in plane curves
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Trans. Amer. Math. Soc. 98 (1961), 234-241 Request permission

References

Shizuo Kakutani, A proof that there exists a circumscribing cube around any bounded closed convex set in $R^3$, Ann. of Math. (2) 43 (1942), 739–741. MR 7267, DOI 10.2307/1968964
Hidehiko Yamabe and Zuiman Yujobô, On the continuous function defined on a sphere, Osaka Math. J. 2 (1950), 19–22. MR 37006
S. S. Cairns, Circumscribed cubes in euclidean $n$-space, Bull. Amer. Math. Soc. 65 (1959), 327–328. MR 110102, DOI 10.1090/S0002-9904-1959-10341-4