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Place egg yolks in a glass bowl or 4 cup glass measuring cup. Add mustard, salt and pepper and whisk together briefly. Begin adding the1 cup oil, drop by drop, while whisking continuously. When the mixture begins to thicken, you may begin to whisk in the oil in a thin stream. Then whisk in the lemon juice and vinegar. This will dilute the mixture slightly. Continue adding the remaining oil, beginning in a thin stream, then increase the flow as the sauce thickens.