Pour enough water into a 10-inch nonstick skillet to measure no less than 1 1/2-inches, place over high heat, and bring to 190 degrees F. Add the vinegar. Gently crack each egg into a custard cup. Lower each cup into the water until it touches bottom and gently pour in the egg. Cook for 4 1/2 minutes, adjusting the heat to maintain the temperature. Remove the eggs with a slotted spoon, 1 at a time, to a tea towel lined plate. Trim the edges of the white with the side of a spoon and serve immediately. Eggs may be stored in ice water in the refrigerator for up to 8 hours. Reheat in hot water for 1 minute before serving.