If you have tethered your BBB with your laptop, you'd know how magical that device is. You can SSH into it, you can view it over a browser on http://beaglebone.local and it takes power from your laptop and what not. But one very obvious feature that you might miss is, not being able to use the laptop's internet connection.
Basically what we are looking to do here is share the Wifi/LAN network that the Laptop uses, with the BBB.
As it so happens it is not that hard after all. In your BBB (as in when you are SSH-ed in), open the file
/etc/resolv.conf and change the contents to
nameserver 188.8.131.52 nameserver 184.108.40.206
Then run the following command
/sbin/route add default gw 192.168.7.1
Just FYI those are DNS nameservers maintained by Google. You might want to use OpenDNS name servers too if you so wish to.
Close the file and now restart networking interface by
Tada, you should now be able to
ping www.google.com from your BBB.
If you are on Windows on the Laptop, bridge your Internet connection with the BBB connection.
If you are on Linux, perform the following steps
sudo iptables -A POSTROUTING -t nat -j MASQUERADE sudo echo 1 | sudo tee /proc/sys/net/ipv4/ip_forward > /dev/null