I came , I looked, I saw nothing like your work. Well done!

Check on people citing Goodman and Goodman.

https://math.stackexchange.com/questions/2621369/circle-inversion-and-the-pappus-chain-paradox?utm_medium=organic&utm_source=google_rich_qa&utm_campaign=google_rich_qa

Dear Khulood Obaid,

As far as we see the figure of the proof, my generalization is almost the same to the ordinary Pappus chain theorem. That is the problem.

Thank you very much.

Yours sincerely,

Hiroshi Okumura

I think the contents are already in advanced. You are a special great mathematician in the topics. You are a top man in the field, I think.

Dear colleagues,

Thank you very much for your kind messages, which give

courage me. I will submit the fact to suitable journal.

Kind regards,

Hiroshi Okumura

Dear Professor Dr. Hiroshi Okumura,

I would like to inform you that a generalization of Pappus chain theorem to ellipsoids can be found in Classroom Notes: José L. Ramírez and Gustavo N. Rubiano, A generalization of the spherical inversion, International Journal of Mathematical Education in Science and Technology, vol. 48, no. 1 (2017) (published online: 13 Jul 2016).

Dear Professor Romeo Meštrović,

Thank you very much for your kind information!

With deep thanks,

Hiroshi Okumura