I believe St. Liguori was led into the mistake either by confounding the word duplex with secundum, or by the remarks made by Benedict de tertio gradu propinquiore, etc.
The story there quoted from Hakluit of a voyage made by this Nicholas in 1360 ad insulas septentrionales antehac Europaeis incognitas, and of a book written by him to describe these countries a gradu .
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "gradu" in a variety of sentences. We hope that you will now be able to make sentences using this word.