How to connect 555 signal generator to Tesla coil or other High voltage application

Hi all,

I hope everyone is well.

I have 2 circuits here and was wondering if someone would show me how to connected them, it is probably very simple, but I just want to be sure.

here are the 2 schematics I'll be working with...



I assume I just use a common ground... but we all not what assuming makes us :) 

Thanks all in advance, 

Picture of How to connect 555 signal generator to Tesla coil or other High voltage application
power_pulse_generator_circuit_diagram.jpg