1Preheat the oven to 400ºF.
Place eggs in a large bowl. Beat with an electric mixer set at medium speed until frothy.
Add granulated sugar, buttermilk, baking soda and butter in order listed, beating continually. Stir in lemon extract, vanilla extract and nutmeg. Stir in walnuts. Stir in enough of the flour to make a soft dough.
Roll dough 1/4 inch thick on a floured surface. Cut with a cookie cutter. Transfer to baking sheets using a spatula.
Bake the cookies until the edges are lightly golden, about 8 to 10 minutes. Let stand to cool for 2 minutes. Transfer to wire racks. Sprinkle with the confectioners' sugar. Let stand to cool completely.