XVIII.
We therefore Publish, by the Divine assistance, these our En∣deavours also, after so many other ingenious and elaborate ones in the same kind; nor can we doubt the approbation of some of our Readers. This at least we can experimentally affirm: That not a few of those to whom these our thoughts were partly pub∣lickly read in Lectures, and partly privately taught (for they were only design'd for Learners) were not a little taken with the Concise brevity and facility of the Demonstrations; so that we may reasonably hope to be acceptable to those, to whom ei∣ther time, or sufficient force of genius is wanting, to run over the vast Volumes of the Ancient Mathematicians, and compre∣hend their prolix Demonstrations, and long series's of far fetch'd Consequences; and as for those who have both leisure and geni∣us to do so, this may serve for an Encouragement towards it; that after they have gone through the chief truths and propo∣sitions