Geodesic
On Euclidean and Pythagorean nearfields
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 45-50.

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We give a method for the construction of ordered nearfields and especially of Euclidean and Pythagorean nearfields, i.e., of formally real nearfields whose groups of squares are orderings and, respectively, additively closed. 
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Ch. Karpfinger. On Euclidean and Pythagorean nearfields. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 3, pp. 45-50. http://geodesic.mathdoc.fr/item/FPM_2007_13_3_a6/

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