[Allometry and growth functions (author's transl)].

The concept of allometry is traced back to its origin and development during 140 years including opinions of quite different consequences. As a mean topic the allometric relation is regarded in its application to organic growth of parts to that of a body as a whole. For general considerations two simplified growth functions after Janoschek (1957) and the author are submitted to detailed investigation in order to demonstrate the mathematical treatment supported by graphs. Finally the question is raised whether the allometric relation may have a chance when growth procedures do not occur synchronously. For this case mathematical ideas are taken into account which can only be varified or negated by pursuing a broad variety of cases belonging to this category.