Installing Java and Eclipse IDE on a Chromebook

Install the prerequesites … java and wget
apt install default-jdk default-jre wget

Download the Eclipse IDE source code
sudo wget http://mirror.math.princeton.edu/pub/eclipse//technology/epp/downloads/release/2018-12/R/eclipse-java-2018-12-R-linux-gtk-x86_64.tar.gz

Once downloaded, extract to the /opt/ dir
tar xzf eclipse-java-2018-12-R-linux-gtk-x86_64.tar.gz -C /opt/

To start the Eclipse IDE run:
/opt/eclipse/eclipse