Christological Terms
Anhypostasis
"Impersonal." Christ took on a human nature, not a human person. This is the view of Chalcedon.
Enhypostasis
"In-person" or "personalized." Christ's human nature is never detached from his person. This is the view of Chalcedon.
Hypostasis
"Person." For example, the Trinity means that God is three hypostases and one "ousia."
Hypostatic Union
Christ had two natures (human and divine) in one person. The view of the Council of Chalcedon (AD 451).
Anomoios
Christ is of a different substance from the Father. The view of Arians.
Homoiousios
Christ is of a similar substance as the Father. The view of semi-Arians.
Homoousios
Christ is of the same substance/essence as the Father. This is Nicene orthodoxy.
Extra Calvinisticum
Jesus' divine nature only does divine stuff, and his human nature only does human stuff. The Reformed view.
Communication of Attributes
Some of the attributes of Christ's divine nature (such as omnipresence) are transferred to his human nature. The Lutheran view.
Apollinarianism
The "God in a bod" heresy. Christ is a divine mind in a human body, and therefore he isn't fully human.
Monophysitism/Eutychianism
The "hybrid Jesus" heresy. Christ's divine and human natures merged into a third new nature (a tertium quid).
Nestorianism
The "tandem Jesus" heresy. Jesus is two persons in one body. Denies anhypostasis.
Miaphysitism
The view of the Egyptian Coptic church. Agrees with the basic ideas of Chalcedon, but disagrees with the language.