Step 1

Preheat the oven to 325 degrees F.

Step 2

In a standing electric mixer, beat the egg whites at medium speed until foamy. Add the cream of tartar and salt and beat until stiff peaks form. Beat in the sugar, a few tablespoons at a time, until smooth and glossy, about 4 minutes.

Step 3

Transfer the egg whites to a large, wide bowl. Using a fine sieve, gradually sift the flour over the egg whites, gently folding in the flour with a spatula. Fold in the vanilla and almond extracts.

Step 4

Scrape the batter into a 10-inch angel food cake pan. Using a table knife, slice through the cake batter several times to release any large air bubbles. Tap the cake pan once or twice on a flat surface. Bake in the center of the oven for 20 minutes. Increase the oven temperature to 350 degrees F and bake for about 35 minutes longer, until a toothpick inserted in the center comes out clean. Invert the pan onto the neck of a wine bottle and let cool completely.

Step 5

To loosen the cake, run a thin-bladed knife around the side and tube of the pan. Unmold the cake and transfer to a platter. Cut the cake into wedges and drizzle with some of the reserved syrup. Serve with the sliced peaches and whipped cream.