Through the feed opening of a running blender add, 1 at a time, the vinegar, garlic, oregano, thyme, parsley, salt, and pepper. Then, leaving the blender running, gradually add the olive oil in a thin stream. Season, to taste, with salt and pepper.
Gently toss together the greens, tomatoes, cucumbers, and carrots with enough of the dressing to coat. Serve family style with the remaining salad dressing on the side.