This is the effect with font awesome, i only can get it when i using font awesome 4.1 CDN)
It is important to ensure relative links to eot & woff files other than css, in case you are using .htaccess
1) extract downloaded zip file to desired directory
in case .htaccess path is
H:\virtualhost\ .htaccess
and fontawesome css and fonts path is
H:\virtualhost\fontawesome-free-5.4.2-web\css
H:\virtualhost\fontawesome-free-5.4.2-web\webfonts
2) Make following entries in .htaccess
RewriteRule ^css/([^/]*).css$ /fontawesome-free-5.4.2-web/css/$1.css [L]
RewriteRule ^webfonts/([^/]*).eot$ /fontawesome-free-5.4.2-web/webfonts/$1.eot [L]
RewriteRule ^webfonts/([^/]*).woff2$ /fontawesome-free-5.4.2-web/webfonts/$1.woff2 [L]
RewriteRule ^webfonts/([^/]*).woff$ /fontawesome-free-5.4.2-web/webfonts/$1.woff [L]
3) Add following in head part of html
http://local-ip-address:port/css/all.css