Divided into four parts; specifically, in botany and zoology, parted into four; divided to the base or entirely into four parts; in architecture, divided, as a vault, by the system of construction employed, into four compartments. Such a vault is the cardinal type of medieval Pointed vaulting.n. A book or treatise divided into four parts or treatises; a tetrabiblion: as, the last two books of Ptolemy's Quadripartite; the quadripartite (four Gospels) of the New Testament.In law, having four parts, or parties: as, a quadripartite government; a quadripartite agreement, etc.