Preheat oven to 400 degrees. Beat eggs and stir in oil and vanilla. Blend in sugar until the mixture thickens. Stir together flour, baking powder, and salt. Stir into the oil mixture. Drop by heaping teaspoonfuls 2 inches apart on an ungreased cookie
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Press each cookie flat with the bottom of a glass that has been dipped in sugar. If you moisten the bottom of the glass with oil before dipping in the sugar it will give you extra crunchiness.
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Bake 8-10 minutes. Do not over bake. Makes approximately 3 dozen tea cakes.