Doubtlesse, in the Idaea, or mentall shape before it come as it were into act, by beeing painted, cut, or carued, those terminating, and truly Mathematical lines, abstractedly considered, are manifest, adhering (or inhering rather) without any possibility of separation from the conceaued Image.

Spines are aborted branches.

After an insult had been offered Rome, or a wrong inflicted on it, several of the twenty sacred heralds, members of the College of Fecials, proceeded to demand reparation. […] [I]f war were decided, a second deputation of fecials was nominated upon whom was placed the symbolic duty of discharging a javelin into the enemy camp. This part of the procedure had obvious difficultes, and, after resorting to the fiction of performing it at an enemy camp in Rome, the fecials finally adopted an appropriate ceremony at the temple of Bellona. The fecials also had religious functions at the conclusion of a peace. It was the oath taken by the chief fecial which sanctified a treaty entered into with, or by, the Roman people.

The serious study of models of axiomatic set theories depends heavily on methods from mathematical logic which are outside the scope of these Notes.