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alternately1570
homographically1859
birationally1915
homoeomorphically1927
homotopically1930
isomorphically1935
homomorphically1941
isometrically1959
symplectically1959
1915 R. A. P. RogersSalmon's Analyt. Geom. (ed. 5) II. 268 Any surface which can be birationally transformed into a unicursal surface is itself unicursal.