Preheat oven to 350F (175C). Line an 11" (28cm) square baking pan with parchment paper.
Divide eggs into whites and yolks. Sift cake flour and cocoa together. Melt butter. Set all aside.
Beat yolks and 1/3 of sugar until a light color and very thick.
In a different bowl, whip egg whites. When the eggs are forming into meringue, start adding the rest of the sugar in 3 parts. Whip until almost forming stiff peaks.
In the bowl of beaten yolks, add 1/3 of the whipped egg whites, and mix in carefully without deflating the foam. Add this mixture to the rest of the meringue, and carefully mix in the same way.
Add flour mixture, sifting into the egg mixture, and carefully mix. Finally add melted butter and mix again.
Pour the batter into the prepared baking pan, spread evenly, and bake for 10-12 minutes. Take out from the oven, cool in the pan completely, covered with plastic.