I have the same issue:

curl https://www.vivapayments.com/ -v
* Hostname was NOT found in DNS cache
* Trying 162.13.22.246...
* Connected to www.vivapayments.com (162.13.22.246) port 443 (#0)
* successfully set certificate verify locations:
* CAfile: /usr/local/share/certs/ca-root-nss.crt
  CApath: none
* SSLv3, TLS handshake, Client hello (1):
* Unknown SSL protocol error in connection to www.vivapayments.com:443
* Closing connection 0
curl: (35) Unknown SSL protocol error in connection to www.vivapayments.com:443

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** [bugs:#1319] Bug: "Unsupported SSL protocol version" Error**
**Status:** closed-fixed
**Created:** Thu Jan 02, 2014 07:44 PM UTC by Mohammad Hossekh Sekhavat
**Last Updated:** Thu May 01, 2014 08:25 PM UTC
**Owner:** Daniel Stenberg
Since I have upgraded from version 7.33 to 7.34, I am getting "Unsupported SSL protocol version" error with SSLv3. 
In order to reproduce the problem, run the command:
curl -v -3 -g 'https://aur.archlinux.org/'
Following output error will be showin in my machine:
* Hostname was NOT found in DNS cache
* Adding handle: conn: 0x237e040
* Adding handle: send: 0
* Adding handle: recv: 0
* Curl_addHandleToPipeline: length: 1
* - Conn 0 (0x237e040) send_pipe: 1, recv_pipe: 0
*   Trying 78.46.78.247...
*   Trying 2a01:4f8:120:34c2::2...
* Immediate connect fail for 2a01:4f8:120:34c2::2: Network is unreachable
* Connected to aur.archlinux.org (78.46.78.247) port 443 (#0)
* Unsupported SSL protocol version
* Closing connection 0
curl: (35) Unsupported SSL protocol version
My System Info:
$curl -V
curl 7.34.0 (x86_64-unknown-linux-gnu) libcurl/7.34.0 OpenSSL/1.0.1e zlib/1.2.8 libssh2/1.4.3
Protocols: dict file ftp ftps gopher http https imap imaps pop3 pop3s rtsp scp sftp smtp smtps telnet tftp 
Features: AsynchDNS IPv6 Largefile NTLM NTLM_WB SSL libz TLS-SRP
$uname -a 
Linux mohammad-tp 3.12.6-1-ARCH #1 SMP PREEMPT Fri Dec 20 19:39:00 CET 2013 x86_64 GNU/Linux
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