When working with surface mount components with different pitches, or with mechanical dimensions on different grids, the situation inevitably occurs that you have two wires or lines that need to be connected, but neither are on the current grid - in fact they may not end up on any sensible grid.
As an example, here are two lines, neither on the routing grid, which must be connected together to form a right angle (or mitred join).
When these are traces being routed, it becomes fairly straight forward as the route tool allows for snapping to the ends of air-wires, so you can simply click on one end and then have the route snap at the other end.
However when such lines are not traces - such as silk screen lines or dimension lines, the snap doesn't work. You can CTRL+LeftClick on the end of the first line to start routing, but Eagle won't let you snap to the end of the second line.
You can also drag the ends of the lines so that they overlap, however there is no tool to intersect two lines unless the end of one lands exactly on the other.
The question arises as to what the simplest way of joining these wires?