Clean and wash lettuce, pluck into bite-sized pieces and drain. Peel and wash the potatoes. Grate cheese roughly. Wash parsley, rosemary and thyme, dab dry and pluck.
Coarsely grate the potatoes. Add 1 egg, cheese and herbs and mix. Season with salt and pepper. Heat 1 tablespoon of oil in a coated frying pan, add potato mixture in 4 portions, form round and fry on both sides over medium heat for about 8 minutes.
Meanwhile boil up about 2 litres of water with 3 tablespoons of vinegar. Beat the rest of the eggs, slide them one after the other into the boiling vinegar water and let them steep for about 4 minutes. In the meantime, wash, clean and halve the cherry tomatoes.
Season the remaining vinegar with salt, pepper and sugar. Whip the remaining oil into it. Sprinkle lettuce and cherry tomatoes with the vinaigrette and mix. Arrange 2 rösti with 2 poached eggs and salad on plates.