(5)

With n = ½, the jet is reversed in direction, and the profile is the catenary of equal strength.

In Bobyleff’s problem of the wedge of finite breadth,

ch nΩ = √ b u − a, sh nΩ = √ b − a u,
a u − ba u − b

(6)

cos nα = √ b, sin nα = √ a − b,
a a

(7)

and along the free surface APJ, q = Q, ψ = 0, u = e−πφ/m = aeπs/c,

cos nθ = cos nα √ eπ2/c − 1,
eπ2/c − cos2 nα
eπ2/c = cos2 nα sin2 nθ,
sin2 nθ − sin2 nα