Re: [HM] How did Ceva rediscover Menelaus's theorem?

Antreas P. Hatzipolakis (xpolakis@otenet.gr)
Mon, 7 Jun 1999 23:36:23 +0300 (EET DST)

Mikio Miyazaki wrote:

>I have a question about the rediscover processes of Menelaus's theorem.
>
>In Boyer(1968), I read find the following sentence;"This (the theorem of
>Ceva) is closely related to the theorem of Menelaus which had been forgotten
>but was rediscovered and published also by Ceva in 1678."
>
>If it is true, I would like to trace how Ceva rediscover it.
>Could you tell me any information about it?
>(If you know the related resources, I will happy to be heard.)

The resource is:

Ceva, Giovanni: De lineis rectis se invicem secantibus statica constructio.
Mediolan., 1678

but I know of no translation into a modern language.

There is a biography for GC by Gino Loria, which might be of some help,
but I haven't seen it:

G Loria: Per la biografia de Giovanni Ceva.
Rendiconti dell'istituto lombardo di scienze et lettere 48(1915) 450-452.

Antreas