instructive
发表于 2025-3-26 23:03:40
Reflections of Planar Convex BodiesIt is proved that every convex body in the plane has a point such that the union of the body and its image under reflection in the point is convex. If the body is not centrally symmetric, then it has, in fact, three affinely independent points with this property.
Temporal-Lobe
发表于 2025-3-27 01:24:55
http://reply.papertrans.cn/24/2379/237858/237858_32.png
手工艺品
发表于 2025-3-27 08:49:31
Envelopes of ,-SectionsLet . be a planar convex body af area |.|, and take .. An .-section of . is a line cutting . into two parts, one of which has area .. This article presents a systematic study of the envelope of .-sections and its dependence on .. Several open questions are asked, one of them in relation to a problem of fair partitioning.
减弱不好
发表于 2025-3-27 12:36:08
http://reply.papertrans.cn/24/2379/237858/237858_34.png
刺耳的声音
发表于 2025-3-27 14:37:15
A Science of Mathematical Education,g result: For any planar convex bodies ., . with ., and any ., there exists an .-section of . which is a .-section of . for some .. (An .-section of . is a straight line cutting . into two parts, one of which has area .). The question remains open if the word “planar” is dropped.
crutch
发表于 2025-3-27 21:23:45
http://reply.papertrans.cn/24/2379/237858/237858_36.png
率直
发表于 2025-3-27 22:45:03
http://reply.papertrans.cn/24/2379/237858/237858_37.png
慢跑
发表于 2025-3-28 05:09:17
http://reply.papertrans.cn/24/2379/237858/237858_38.png
podiatrist
发表于 2025-3-28 09:14:03
http://reply.papertrans.cn/24/2379/237858/237858_39.png
COW
发表于 2025-3-28 11:09:16
http://reply.papertrans.cn/24/2379/237858/237858_40.png