MATHEMATICS DURING THE MEDIEVAL PERIOD
MATHEMATICS DURING THE MEDIEVAL PERIOD
MATHEMATICS IN RELIGION
• Geometry is used in the developments of some religious designs used during that time which some are even used until today. By infusing Mathematics, their works of art became full of symbolisms and meanings. During Medieval times, people use different geometric symbols to defy their religious ideas and beliefs as much as words do.
Holy Trinity
cornerstones of the temple
Wounds of Christ
Educational System During
Medieval Period
The Seven Liberal Arts
The Trivium
The Quadrivium
and
The Trivium
Logic
Latin Grammar
Rhetoric
The Quadrivium
Arithmetic
Music
Geometry
Astronomy
The Quadrivium
Arithmetic (Number in itself) - as such number is a pure abstraction outside of time and space. This aspect of the Quadrivium deals with the different characteristics of each number
The Quadrivium
Geometry (Number in space) - specific shapes can have a deeper meaning. This aspect relates symbolism and it is frequently used in architecture
Geometry
Inspired by the 13 books of Euclid’s Elements
The Quadrivium
Music (Number in time) - covers music in general and particularly the topic of natural harmonics
Golden Ratio
• two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
Represented as:
Other term for Golden Ratio• golden section• golden mean• extreme and mean ratio• medial section• divine proportion• divine section• golden proportion• golden cut• golden number
Golden Ratio in Music
•As a musical interval the ratio 1.618...
The QuadriviumAstronomy (Number in time and space) - covers the movement of planets in space and the natural harmonics between the planets when looking at the aspect of time (harmony of the spheres). This is the first time aspects of time and space meet with the abstraction of number thus it builds the foundation for science
Astronomy• During the medieval period, scientists in
the Islamic world made many contributions to the field of astronomy. While their work was based on ancient sources from Greece, Iran, and India, they updated methods for measuring and calculating the movement of heavenly bodies, and continued to develop models of the universe and the movements of the planets within it.
Mathematics in
ART“Without Mathematics, there is no art.”
– Luca Pacioli
Take a look at the Fibonacci Sequence…
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89…
Try getting the ratio between one of the numbers and the number before
it.
1.61803398875…
1.618…
The Golden Ratio
The Golden MeanThe Golden Number
The Divine Proportion
The Golden ProportionThe Divine Section
We use Phi (ϕ) and phi (φ) to denote the Golden Ratio and its
reciprocal respectively
Golden Rectangle
Golden Spiral
The golden ratio in some works of art
PAINTINGS
ARCHITECTURE
MUSIC
POETRY
Inspiration Comes (Fibonacci)
by Jim T. Henriksen
Inspiration Comes (Fibonacci)by Jim T. Henriksen
Iam
sittingquietly,
listening for thequiet noises in the darkness,
ghostly images flying between the tall pine trees,illusion created by the mind, made by shadows, the
brain playing tricks on itself.
It sits there, the raven, black as night, looking at me with its dark eyes in the dark night. Inspiration comes. Words form in my head. Nevermore.
COSMOLOGY
CONTEMPORARY LOGOS AND DESIGNS