The implicit restrictions of Pachner's analyses, for the determination of the farfield directivity function from nearfield measurements [J. Acoust. Soc. Am.28, 86–92 (1956)] are discussed, with extension and clarification of recent comments [J. Acoust. Soc. Am.35, 1666–1667 (1963)]. Pachner's analyses appear inadequate to describe radiation from even cophasal vibration of a finite surface, except as an engineering approximation for flat surfaces with large rigid baffles.