Both answers are correct. If you pay close attention to Ar Rinci Foirne it just says that partners take hands. This is allowed for interpretation by the instructor. I’ve noticed that most teachers instruct the dancers to take both hands, uncrossed and weave in and out of their fellow couple/partners while facing each other. My dancing teacher told me to take inside hands (also considered uncrossed) and weave in and out the same way (creating a figure of eight pattern on the floor) you would in a figure of eight, facing the couples as you approach them. Her logic was that if it is called a double figure of eight and instructed to dance as a figure of eight then you would simply take inside hands and dance it as a ‘double’ figure eight, of course leading in the direction of the gent. When speaking in terms of Irish logic, this makes the most sense. Just remember that as long as you know the book inside and out, like the fact that the book does not specify which hands to take or if hands should be taken at all, you are golden. One of the girls I took my exam with got questioned about a particular move (hands/no hands kind of deal) and since she knew the book, she proved herself during the exam and passed. The examiners are people too and they can be wrong from time to time so don’t be afraid to assert your knowledge. Thanks for the great question! Hope that helps!