In a blender or food processor, mix the vinegar, lemon juice, mustard, egg yolk, anchovies, garlic and a pinch of sugar until blended, about 30 seconds. With the machine running, gradually add the oil in a slow, steady stream until the dressing is smooth. Season with salt, pepper and more lemon juice, if desired. Toss the arugula and shaved vegetables with 1 cup dressing.
