When the woman with the issue of blood reached out and touch the hem of Jesus' garment, He asked, "who touched Me?" and followed up with, "(because) I'm aware that power has gone forth from Me (Luke 8:46)." And Mark 6:56 says, "...And all who touched Him were healed."
A parallel translation of Luke 8:46 renders the word for power as "virtue" in the KJV, and looking for 'another word for' could trail into an entire dictionary thesaurus collection in the attempt to pinpoint the exact spirit of any certain word but the bottom line is that she wasn't reaching out for his garment as much as she touched that 'power' in Him. You could say that she touched His heart, I think.
But, exactly how far of a reach is required of us to make in order to touch God?
And there's Job. I think he also touched this 'edge of His garment' when he said, "My ears have heard of You, but now my eyes see You."