CHAP. XI.
TO what purpose serue so many figures and moodes, sith the first figure, and the foure first moodes be∣longing to the same are onely perfect, yea, and so perfect indeed, as the Mathematicians in seeking out the truth of any probleme, will vse none other, because the first figure alone doth suffice to con∣clude all kindes of problemes whatsoeuer they be, whereby it should seeme, that the two other figures, with their moodes, be superfluous?
They be not altogether superfluous; for as the first figure serueth chiefly and onely to conclude an vniuersal affirmatiue, so the second figure serueth to conclude an vniuersal negatiue, and the third figure to conclude both a particular affirmatiue, and also a particular negatiue, as you may perceiue very well by the examples before rehearsed; neither be the fifteen vnper∣fect moodes so vnperfect, but that they may easily be reduced vnto the foure perfect, by one of these wayes heere following, (that is to say) either by conuersion, or by transposing of the premisses: or else by a Syllogisme leading to impossibilitie, of which three wayes of Reduction we come now to speake: by which things it doth plainely appeare what difference there is betwixt a perfect and vnperfect Syllogisme; for the perfect Syllogisme hath no need of these helpes to make the Conclu∣sion manifest, as hath been said before.