facebooklogo.jpgFacebook, the social networking site that used to take pride in being rigid and closed, tonight continues its enthusiastic embrace of the opposite: Being wide open to the rest of the world.

This time, the Palo Alto company has rolled out a way to let people on other sites to share video, photos and other content with their friends on Facebook — through a special “share” button. This is a logical move for Facebook; it ads flexibility for users, and it drives more traffic.

It works like this: Numerous sites, including the NYT, the WSJ and Photobucket have added a little blue button (with an “F” in it) beside content like video and articles. Users can click on the button, which lets them choose which Facebook friends they want to send it to. They can also send it to their own profile. Beside a NYT article, for example, the button will sit alongside the usual “email this article” or “print this article” buttons.

This lets users share content with friends without leaving the site they are on.

This follows Facebook’s move last week to launch the same “share” feature internally. That first move let users press on a little “share” button beside a piece of content — video, photo or article — and email it to friends within Facebook.

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