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1
Using electric mixer, beat 3 tablespoons butter and sugar in medium bowl until coarse meal forms.
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2
Beat in egg whites, 1 at a time, then vanilla.
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3
Add flour and beat until well blended.
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4
Melt remaining 2 tablespoons butter in small saucepan over low heat.
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5
Mix warm butter into batter.
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6
Position rack in center of oven and preheat to 350F.
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7
Lightly butter 2 nonstick baking sheets.
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8
Spoon 1 heaping teaspoonful batter for each cookie onto sheets, spacing 4 inches apart and forming 3 cookies on each sheet.
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9
Using small metal offset spatula or back of spoon, spread batter for each cookie to very thin 4-inch round.
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10
Bake cookies on 1 sheet until 3/4 inch of edge is golden brown, about 5 minutes.
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11
Run thin flexible spatula under edge of 1 cookie to loosen and remove from sheet.
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12
Working quickly while cookies are still warm and flexible, roll 1 cookie around handle of wooden spoon into cylinder.
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13
Slide cookie onto work surface.
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14
Shape remaining cookies into cylinders, returning sheet to oven briefly to soften cookies if necessary.
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15
Bake cookies on second sheet while first baking sheet cools.
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16
Repeat with remaining batter, using cool baking sheet each time.
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17
Cool rolled cookies completely.
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18
(Can be made 1 day ahead.
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19
Store airtight at room temperature.)