Preheat oven to 350°F. Use the above pie crust recipe for the crust. You will need to do this reicpe twice as you need 2 crusts for this pie. Peel and core 4-6 Apples (I use Jona Golds when available, otherwise I use McIntosh.) Slice the apples into 1/2 inch slices. In a large mixing bowl combine 1 c. sugar, 4 Tbsp. Cinnamon, 2 tsp. nutmeg and 1/4 cup cornstarch. Mix well. Add the apples and again mix well, being sure all the apples are coated. If needed, add more sugar and cinnamon to cover all the apples. Place the pie crust into the pie plate, and dump the apple mixture into the crust. Place top crust on the pie and crimp the edges together. Lightly brush the top of the pie with egg white, and sprinkle with a little sugar. Bake the pie for 45 minutes to 1 hour being sure to check that the crust isn't getting burned. Cool for 1/2 hour before serving.