All That You Need to Know to Satisfy the Division III
Requirement in a Medieval University



 
 
 

essences*
dry
 hot 
cold
wet

        *2 pairs of polar opposites
 

          Science:
 

chemistry
Air 
Fire 
Earth 
Water
Human Biology:
physiology 
blood 
yellow bile
black bile
phlegm
anatomy
heart
liver
spleen
brain
Psychology:
 
personality
sanguine
choleric
melancholy
phlegmatic

Meteorology:
 

seasons
spring 
summer
fall
winter
winds
east
south
west
north

 
 
astrology
Aries
Cancer
Libra
Capricorn
life stages 
childhood
youth
maturity
senescence
medicine- health
hot-wet
hot-dry
dry-cold
cold-wet
physics
light
light
heavy
heavy
FORMS
octahedron
tetrahedron
cube
icosahedron
Faces 8 4 6 20
Vertices 6 4 8 12
Edges 12 6 12 30

Harmony
 

What are the fundamental musical harmonies?
octave
fifth
fourth
What is the ratio of their frequencies?
2:1
3:2
4:3
What integers are necessary to express them?
What is the cosmic meaning of these integers?
What are the fundamental mathematical harmonies? 
arithmetic
geometric
harmonic
What is the ratio of their terms?
 c = 
(a + b)/2
b2=ac
 (b-c)/2=
(a-b)/a

 
The cube embodies all the
fundamental harmonies:
12:6 12:8 8:6


Cosmology


Figurate Knowledge:  Emblematic incorporation of belief