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1827, Carl Gustav Jacob Jacobi, “Euleri formulae de transformatione coordinatarum”, in Journal für die reine und angewandte Mathematik (Crelle’s Journal), volume 1827, number 2, →DOI, pages 188–189:
Duo coordinatarum systemata rectangularia esse supponuntur, quae initio gaudent communi; vocentur alterius coordinatae; alterius ;
Two systems of coordinates, which enjoy a common beginning , are supposed to be rectangular; the coordinates of one may be called ; the other ;
1828, Johann Carl Friedrich Gauss, Disquisitiones Generales Circa Superficies Curvas, archived from the original on 2016-05-31, page 24:
Supponamus, superficiem nostram curvam explicari posse in aliam superficiem, curvam seu planam, ita ut cuivis puncto prioris superficiei per coordinatasx, y, z determinato respondeat punctum determinatum superficiei posterioris, cuius coordinatae sint x′, y′, z′.
We may suppose that our curved surface can be developed on another surface, curved or plane, so that to whichever point of the former surface, determined by the coordinatesx, y, z, corresponds a determined point of the latter surface, whose coordinates are x′, y′, z′.
1849, Guilelmus Stammer, De novo systemate coordinatarum, page 1: