How private key is used ?

[Aleksandr Konstantinov]

Hello.

I'm considering using OpenSSL in my application. So I have read "The SSL Protocol Version 3.0" at
http://wp.netscape.com/eng/ssl3/draft302.txt . But I still can't understand, how during authentication phase
parties are actually authenticated ? I could only find exchange of certificates (public keys). But they are
already public.
I know it should be private keys somehow involved into authentication. I'm sure I just missed something.
Could anybody help me, please ?


Regards,


A.K.


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