The phrase that shows that the President believed that the battle was a fight for democracy were these words:
government of the people, by the people, for the people, shall not perish from the earth.
The battle of Gettysburg
This was a battle by the North against the South of the United States. The fight was between the Union and the confederates army.
The words of Lincoln showed democracy because he believed that the reason they were at war was not to see that people do not eradicate democracy from the world.
This map of Ancient Greek colonies shows Greek colonies and the climatic regions of the region. Note how most colonies remained tied to the seas and had a similar climate Hope this helps :)