Installing the latest EagleCAD on Fedora 19 is a bit tricky. The Linux version requires libssl and libcrypto (which is thankfully mentioned right on the download page), unfortunately an older version which is no longer shipped by Fedora (Version 1.0.1 of openssl was released in March 2012).
As a (very dirty) workaround, you can just create a symlink to the current version of the shared object:
# ln -s -T /usr/lib/libcrypto.so /usr/lib/libcrypto.so.1.0.0 # ln -s -T /usr/lib/libssl.so /usr/lib/libssl.so.1.0.0