A section of artificially drained land), by surrounding it with dikes or quays for the twofold purpose of protecting it from all further inundation from outside and of controlling the amount of water inside.
Secondly, if two of the intersections coincide, say if the line infinity meets the curve in a onefold point and a twofold point, both of them real, then there is always one asymptote: the line infinity may at the twofold point touch the curve, and we have the parabolic hyperbolas; or the twofold point may be a singular point, - viz., a crunode giving the hyperbolisms of the hyperbola; an acnode, giving the hyperbolisms of the ellipse; or a cusp, giving the hyperbolisms of the parabola.
Physiognomy was regarded by those who cultivated it as a twofold science: (r) a mode of discriminating character by the outward appearance, and (2) a method of divination from form and feature.
The assizes of the kingdom itself are twofold - the assizes of the high court and the assizes of the court of burgesses.
Proverbs, and the Wisdom of Solomon), in the treatment of the stories of Esther and Daniel (the history of Susanna), and also in the twofold recensions Ezra and i Esdras.
This twofold development of the idea of God formed the point of leverage for Zoroaster's reformation.
An asceticism so strict and painful as that demanded by Manichaeism could only be practised by few; hence the religion must have abandoned all attempts at an extensive propaganda had it not conceded the principle of a twofold morality.
We find a division of social ranks which reminds us of the threefold gradation of Lower Germany (edelings, frilings, lazzen - eorls, ceorls, laets), and not of the twofold Frankish one (ingenui Franci, Romani), nor of the minute differentiation of the Upper Germans and Lombards.
See Iightfoot's essay for Cyprian's contribution, as also for that of the Clementines, which fix on the twofold position of James at Jerusalem, as apostle and bishop, as bearing on apostolic succession in the episcopate.
At all events, long before Mahomet we find Mecca established in the twofold quality of a commercial centre and a privileged holy place, surrounded by an inviolable territory (the Haram), which was not the sanctuary of a single tribe but a place of pilgrimage, where religious observances were associated with a series of annual fairs at different points in the vicinity.