2. Just as everything in the visible world can be
described by its quality(s) such as its shape, depth,
color texture, etc.,
it can also quantified or measured.
We measure time, (duration or age), recurrence (rate,
frequency, etc.), size (distance, weight, volume),
movement (speed, acceleration etc.), viscosity,
temperature, density, purity, elasticity, rigidity, etc.
If it can be seen, it can, in some way be quantified.
3. SIZE: The comparative or measured magnitude of an entity
COMPARATIVE MAGNITUDE : The relative magnitude
between similar or dissimilar entities.
Example: JOE IS A HEAD SHORTER THAN TONYA.
Or A SOFA IS A MUCH, MUCH LARGER THAN A SNAIL
4. MEASURED MAGNITUDE: The magnitude of an entity
relative to a standard of measure.
Example: Jane is 5’-4” TALL
or Jane is 1 meter and 62.5 cm tall
5. We measure long distances
Such al length of ballpark.
Some distances are short like in
small mechanical parts.
6. In theatre we dimension
bodies for proper fitting
costumes.
7. We often have to measure scenery so it it fits properly on the stage.
8. PROPORTION: Equality or ratio between parts of a whole
Or between a part of a whole and the whole itself.
Example: A IS THE LENGTH OF ONE’S FOREARM
FROM ELBOW TO THE WRIST. B IS THE
LENGHT OF THE HAND FROM WRIST
TO FINGER TIPS A= 1.5 of B
or
THE HAND IS 2/5 THE DISTANCE FROM
ELBOW TO FINGER TIPS.
A
B
B``
9. Artists, designers, architects, mathematicians, scientists
and philosophers have tried, for centuries to find an
ideal proportion, that is, a relationship between parts that
would be functional, practical, aesthetically pleasing etc.
Because no single proportion system has been found
ideal for all applications, numerous systems and
methodologies are being employed for a variety of uses.
10. One of the most popular and useful proportion systems
is that of anthropometrics.
ANTHROPOMETRICS is a proportion system based on
the human body. Essentially, it is concerned with
developing structures which are related to human size,
race, gender and occupational groups.
11. ONE OF THE OLDEST ANDAESTHETICALLY PLESING
PROPORTIONS, THE GOLDEN MEAN HAS BEEN WIDELY
OBSERVED IN NATURE, AND EVEN MORE WIDELY
REPLICATED IN ART AND ARTIFACT.
IT IS BASED ON
THE FOLLOWING
RATIO:
A:B = B: (A+B)
EXPRESSED
NUMERICALLY:
1:1.618
RATIO IS THE
COMPARISON
OF TWO QUANTITIES.
24. THE PENTAGON EMPLOYS
THE GOLDEN MEAN AS WELL.
FOR CENTURY IT WAS
REGARDED AS A MAGICAL
OR MYSTICAL PROPORTION.
THE INFAMOUS SATANIC
PENTANGLE CARRIES THE
SAME MYSTIC MEANING
25. AND OF COURSE, THE
GOLDEN MEAN IS ALSO
FOUND IN THE PROPORTIONS
OF THE HUMAN BODY
26. OBVIOUSLY, SINCE THE
CONCEPT OF THE GOLDEN
MEAN PRE DATES THE
EGYPTIAN PYRAMIDS, MANY
PEOPLE HAVE STUDIED IT
AMONG THEM THE 13 TH
CENTURY, ITALIAN
MATHEMATICIAN LEONARDO
DA PISA KNOWN AS
FIBONACCI.
27. FIBONACCI, CREATED A RATIO SEQUENCE WHICH HE
MAINTAINED WAS MOST CLOSELY RELATED
TO THE PROPORTIONS OF THE HUMAN BODY.
1, 1, 2, 3, 5, 8, 13. 21, 34, etc.
HE OBSERVED THAT THIS SEQUENCE (after the number 3)
WAS THE CLOSEST MATHEMATICAL APPROXIMATION
OF THE GOLDEN MEAN ie. 1:1.618 WHICH HAD
PREVIOUSLY BEEN USED TO PROPORTION THE
HUMAN BODY.
28. LEONARDO DA VINCI ALSO
STUDIED HUMAN
PROPORTIONS AND APPLIED
THEM TO HIS ART AND
ARCHITECTURE.
HE OF COURSE USED TO
ITALIAN, 15TH CENTURY MALE
AS A BASIS FOR HIS
PROPORTIONS.
29. MORE RECENTLY, THE TWENTIETH CENTURY
ARCHITECT, LE CORBUSIER WANTED TO CREATE
A SYSTEM FOR STANDARDIZATION OF BUILDING
MATERIALS, TO MAKE HOUSING
MORE COST EFFICIENT.
HE ALSO WANTED OUR “BUILT”
ENVIRONMENT TO BE IN
PROPORTION TO OUR BODIES.
Le Corbusier
30. Taking the total
height, from the
hand of the
vertically raised
arm to the feet
he divides it into
two equal parts,
at the level of the
navel.
31. He finds that this total
height is divided according
to the golden section at
wrist level of the other arm.
This proportion yields a
ratio of 86 to 140.
32. The distance from
the feet to the top
of the head is also
divided by the
golden section, in
this case using the
division at the
navel.
33. This yields a ratio of 70 to 113.
Both ratios 86: 140 and 70 to 113 correspond to
Fibonacci’s earlier findings and are consistent with
his series of numbers.
34. Le Corbusier went on to explore how the human
body ought to relate to its environment at work,
leisure, play etc.
35. Today architects and designers use
anthropometric data in virtually everything we
come in contact with. Most elements on stage are
based on this data.
37. THE ROOT PROPORTION SYSTEM IS ANOTHER SYSTEM
WIDELY USED IN THE DESIGN OF MANY PRODUCTS.
THE ROOT 2 SYSTEM, FOR EXAMPLE, IS USED IN
PROPORTIONING AMERICAN PAPER STANDARDS.
44. DESIGNERS USE VARIOUS SCALE RULERS
TO DETERMINE THE SCALE IN WHICH THEY WILL
WORK.
THERE ARE ARCHITECTURAL
MECHANICAL
ENGINEERING
METRIC
GRAPHIC AND OTHER SCALE RULES
45. DIMENSION IS THE NUMERIC EXPRESSION OF
SIZE. IT REFERS TO LENGTH, WIDTH, HEIGHT
AND SOMETIMES DURATION
A DIMENTIONED
THRUST THEATRE