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Lucia
Lucia
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I don't know whether this amounts to the same thing as a neusis, but there's an article by Arthur Baragar, Constructions using a compass and twice-notched straightedge, Amer. Math. Monthly 109 (2002), no. 2, 151-164, MR 2003d:51015, which might possibly be of some use.

[The edit that I submitted some hours ago somewhat overstates Baragar's result -- I apologize. Baragar shows that every number that can be constructed using the stronger flavor of neusis lies in a tower of extension fields whose adjacent indices are all either 2, 3, 5, or 6. But he does not claim that every number of this type can be constructed using the stronger flavor of neusis. He does show, however, that the stronger flavor of neusis can construct a number in an extension field whose degree is divisible by 5, which means that it cannot be constructed by the weaker flavor of neusis.]

I don't know whether this amounts to the same thing as a neusis, but there's an article by Arthur Baragar, Constructions using a compass and twice-notched straightedge, Amer. Math. Monthly 109 (2002), no. 2, 151-164, MR 2003d:51015, which might possibly be of some use.

[The edit that I submitted some hours ago somewhat overstates Baragar's result -- I apologize. Baragar shows that every number that can be constructed using the stronger flavor of neusis lies in a tower of extension fields whose adjacent indices are all either 2, 3, 5, or 6. But he does not claim that every number of this type can be constructed using the stronger flavor of neusis. He does show, however, that the stronger flavor of neusis can construct a number in an extension field whose degree is divisible by 5, which means that it cannot be constructed by the weaker flavor of neusis.]

I don't know whether this amounts to the same thing as a neusis, but there's an article by Arthur Baragar, Constructions using a compass and twice-notched straightedge, Amer. Math. Monthly 109 (2002), no. 2, 151-164, MR 2003d:51015, which might possibly be of some use.

a correction to my suggested edit of earlier today about Baragar's result
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edit approved Mar 14, 2014 at 4:25
Lyle Ramshaw
edit approved Mar 14, 2014 at 4:25
Lyle Ramshaw
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I don't know whether this amounts to the same thing as a neusis, but there's an article by Arthur Baragar, Constructions using a compass and twice-notched straightedge, Amer. Math. Monthly 109 (2002), no. 2, 151-164, MR 2003d:51015, which might possibly be of some use.

[The edit that I submitted some hours ago somewhat overstates Baragar's result -- I apologize. Baragar shows that every number that can be constructed using the stronger flavor of neusis lies in a tower of extension fields whose adjacent indices are all either 2, 3, 5, or 6. But he does not claim that every number of this type can be constructed using the stronger flavor of neusis. He does show, however, that the stronger flavor of neusis can construct a number in an extension field whose degree is divisible by 5, which means that it cannot be constructed by the weaker flavor of neusis.]

I don't know whether this amounts to the same thing as a neusis, but there's an article by Arthur Baragar, Constructions using a compass and twice-notched straightedge, Amer. Math. Monthly 109 (2002), no. 2, 151-164, MR 2003d:51015, which might possibly be of some use.

I don't know whether this amounts to the same thing as a neusis, but there's an article by Arthur Baragar, Constructions using a compass and twice-notched straightedge, Amer. Math. Monthly 109 (2002), no. 2, 151-164, MR 2003d:51015, which might possibly be of some use.

[The edit that I submitted some hours ago somewhat overstates Baragar's result -- I apologize. Baragar shows that every number that can be constructed using the stronger flavor of neusis lies in a tower of extension fields whose adjacent indices are all either 2, 3, 5, or 6. But he does not claim that every number of this type can be constructed using the stronger flavor of neusis. He does show, however, that the stronger flavor of neusis can construct a number in an extension field whose degree is divisible by 5, which means that it cannot be constructed by the weaker flavor of neusis.]

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Gerry Myerson
Gerry Myerson
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I don't know whether this amounts to the same thing as a neusis, but there's an article by Arthur Baragar, Constructions using a compass and twice-notched straightedge, Amer. Math. Monthly 109 (2002), no. 2, 151-164, MR 2003d:51015, which might possibly be of some use.