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What
one symbol is most typical of Freemasonry as a whole? Mason and
non-Mason alike, nine times out of ten, will answer, "The Square"
Many learned writers on Freemasonry have denominated
the square as the most important and vital, most typical and common
symbol of the Ancient Craft. Mackey terms it "one of the
most important and significant symbols." McBride said:
"-in Masonry or building, the great dominant law is the law
of the square." Newton's
words glow: "Very early the square became an emblem of truth,
justice and righteousness, and so it remains to this day, though uncountable
ages have passed. Simple, familiar, eloquent, it brings from afar
a sense of the wonder of the dawn, and it still teaches a lesson we
find it hard to learn." Haywood speaks of: "-its
history, so varied and so ancient, its use, so universal."
MacKenzie: "an important emblem-passed
into universal acceptance." In his encyclopedia, Kenning copied
Mackey's praise. Klein reverently denominates it "The
Great Symbol." I Kings, describing the Temple,
states that "all the doors and the
posts were square."
It is impossible definitely to say that the square is the oldest symbol
in Freemasonry; who may determine when circle, triangle, square, first
impressed men's minds? But the square is older than history.
Newton speaks of the oldest
building known to man: "-a prehistoric tomb found in the sands
at Hieraconpolis, is already right angled."
Masonically the word "square" has
the same three meanings given the syllable by the world: (1) The conception
of right angledness-our ritual tells us that
the square is an angle of ninety degrees, or the fourth of a circle;
(2) The builder's tool, one of our working tools, the Master's own immovable
jewel; (3) That quality of character which has made "a square
man" synonymous not only with a member of our Fraternity, but
with uprightness, honesty, dependability.
The earliest of the three meanings must have been the mathematical conception.
As the French say, "it makes us furiously to think"
to reflect upon the wisdom and the reasoning powers of men who lived
five thousand years ago, that they knew the principles of geometry by
which a square can be constructed.
Plato, greatest of the Greek philosophers, wrote over the porch of the
house in which he taught: "Let no one who is ignorant of geometry
enter my doors." Zenocrates,
a follower of Plato, turned away an applicant for the teaching of the
Academy, who was ignorant of geometry, with the words: "Depart,
for thou has not the grip of philosophy."
Geometry is so intimately interwoven with architecture and building
that "geometry, or Masonry, originally synonymous terms"
is a part of most rituals. the science of measurement is concerned with angles, the construction
of figures, the solution of problems concerning both; and all rest upon
the construction of a right angle, the solutions which sprang from the
Pythagorean Problem, our "Forth-seventh Problem of Euclid,"
so prominent in the Master's degree.
The ancient Greek name of the square was gnomon, from whence comes our
word "knowledge" The
Greek letter gamma-formed like a square standing on one leg, the other
pointing to the right -in all probability derived from the square, and
gnomon, in turn, derived from the letter which was derived from the
square which the philosophers knew was at the root of their mathematics.
Democritus, old philosopher, according to Clement of Alexandria, once
exulted: "In the construction of plane figures with proof, no
one has yet surpassed me, not even the Harpedonaptae
of Egypt".
The name means, literally, "rope stretchers" or "rope
fasteners." In the Berlin museum is a deed, written on
leather, dating back 2000 BC which speaks of the work of the rope stretchers;
how much older rope stretching may be, as a means of constructing a
square, is unknown, although the earliest, known mathematical handbook
(that of Ahmes, who lived in the sixteenth or seventeenth Hyskos dynasty in Egypt, and is apparently a copy of a much
older work which scholars trace back to 3400 BC). does
not mention rope stretching as a means of square construction.
Most students in school days learned a dozen easy ways of erecting one
line perpendicular to another. It seems strange that any people
were even ignorant of such simple mathematics. Yet all knowledge
had a beginning. Masons learn of Pythagoras' astonishment and
delight at his discovery of the principle of the forty-seventh Problem.
doubtless the first man who erected a square
by stretching a rope was equally happy over his discovery.
Researches into the manner of construction of pyramids, temples and
monuments in Egypt
reveal a very strong feeling on the part of the builders for the proper
orientation of their structures. Successfully to place the buildings
so that certain points, corners or openings might face sun or star at
a particular time, required very exact measurements. Among these,
the laying down of the cross axis at
a right angle to the main axis of the structure was highly important.
It was this which the Harpedonaptae accomplished
with a long rope.
The cord was first marked off in twelve equal portions, possible by
knots, more probably by markers thrust into the body of the rope.
The marked rope was then laid upon the line on which a perpendicular
(right angle) was to be erected. The rope was pegged down at the
third marker from one end, and another, four markers further on. This
left two free ends, one three total parts long, one five total parts
long. With these ends the Harpedonaptae scribed two semi-circles. When the point
where these two met was connected to the first peg (three parts from
the end of the rope), a perfect right
angle, or square, resulted.
Authorities have differed and much discussion has been had, on the "true
form" of the Masonic square; whether a simple square should be
made with legs of equal length, unmarked with divisions into feet and
inches, ore with one leg longer than the other and marked as are carpenter's
squares today. Mackey says:
It is proper that its true form should be preserved. The French
Masons have almost universally given it with one leg longer than the
other, thus making it a carpenter's square. The American Masons,
following the delineations of Jeremy L. Cross, have, while generally
preserving the equality of length in the legs, unnecessarily marked
its surface with inches, thus making it an instrument for measuring
length and breadth, which it is not. It is simply the trying square
of a stonemason, and has a plain surface, the sides
ore legs embracing an angle of ninety degrees, and is intended only
to test the accuracy of the sides of a stone, and to see that its edges
subtend the same angle.
Commenting on this the Editor of the Builder wrote (May, 1928):
This is one of the occasions when this eminent student ventured into
a field beyond his own knowledge, and attempted to decide a matter of
fact from insufficient data. For actually there is not, and never
has been, any essential difference between the squares used by carpenters
and stone workers. At least not such differences as Mackey assumes.
He seems to imply that French Masons were guilty of an innovation in
making the square with unequal limbs. This is rather funny, because
the French (and the Masons of Europe generally) have merely maintained
the original form, while English speaking Masonry, or rather the designers
of Masonic jewels and furnishings in English speaking countries, have
introduced a new form for the sake, apparently, of its greater symmetry.;
From medieval times up till the end of the eighteenth century,
all representations of Mason's squares show one limb longer than the
other. In looking over the series of Masonic designs of different
dates it is possible to observe the gradual lengthening of the shorter
limb and the shortening of the longer one, till it is sometimes difficult
to be certain at first glance if there is any difference between them.
There is absolutely no difference in the use of the square in different
crafts. In all the square is used to
test work, but also to set it out. And a square with a graduated
scale on it is at times just as great a conveyance for the stonemason
as for the carpenter. When workmen made their own squares there
would be no uniformity in size or proportions, and very few would be
graduated, though apparently this was
sometimes done. It is rather curious that the cut which illustrates
this article in Mackey's Encyclopedia actually shows a square with one
limb longer than the other.
It is noted that old operative squares were either made wholly of wood,
or of wood and metal, as indeed, small try squares are made today.
Having one leg shorter than the other would materially reduce the
chance of accident destroying the right angle which was the tool's essential
quality. So that authorities who believe
our equal legged squares not necessarily "True Masonic squares"
have some practical reasons for their convictions.
It is of interest to recall McBride's explanation of the "center" as used in English Lodges, and the "point"
familiar to us. He traces the medieval "secret of the
square" to the use of the compasses to make the circle from
which the square is laid out. Lines connecting a point, placed
anywhere on the circumference of a circle, to the intersections with
the circumference cut by a straight line passing through the center
of the circle, form a perfect square. McBride believed that our
"point within a circle" was a direct reference to this
early operative method of correcting the angles in the wooden squares
of operative cathedral builders, and that our present "two perpendicular
lines" are a corruption of the two lines which connect the
point on the circumference with opposite points on the circle.
The symbolism of the square, as we know it, is also very old; just how
ancient, as impossible to say as the age of the tool or the first conception
of mathematical "squareness."
In 1880 the Master of Ionic Lodge No. 1781,
at Amoy, China,
speaking on Freemasonry in China,
said:
From time immemorial we find the square and compasses used by Chinese
writers to symbolize precisely the same phrases of moral conduct as
in our system of Freemasonry. The earliest passage known to me
which bears upon the subject is to be found in the book of History embracing
the period reaching from the twenty-fourth to the seventh century before
Christ. There is an account of a military expedition we read:
"Ye officers of government, apply the
Compasses!"
In another part of the same variable record a Magistrate is spoken of
as: "a man of the level, or the level man."
The public discourses of Confucius provide us with several Masonic allusions
of a more or less definite character. For instance, when recounting
his own degrees of moral progress in life, the Master tells us that
only at seventy-five years of age could he venture to follow the inclinations
of his heart without fear of "transgressing the limits of the
Square." This would be 481 BC but it is in the words
of his great follower, Mencius, who flourished nearly two hundred years later, that
we meet with a fuller land more impressive Masonic phraseology.
In one chapter we are taught that just as the most skilled artificers
are unable, without the aid of the square and compasses, to produce
perfect rectangles or perfect circles, so must all men apply these tools
figuratively to their lives, and the level and the marking-line besides,
if they would walk in the straight and even paths of wisdom, and keep
themselves within the bounds of honor and virtue. In Book IV we
read:
"The Compasses and Square are the embodiment of the rectangular
and the round, just as the prophets of old were the embodiment of the
due relationship between man and man."
In Book VI we find these words:
"The Master Mason, in teaching his apprentices, makes use of
the compasses and the square. Ye who are engaged in the pursuit
of wisdom must also make use of the compasses and the square."
In the GREAT LEARNING, admitted on all sides to date from between 300
to 400 years before Christ, in Chapter 10, we read that a man should
abstain from doing unto others what he would not they
should do unto him: "This," adds the writer,
"is called the principle of acting on the square."
Independently of the Chinese all peoples in all ages have thought of
this fundamental angle, on which depends the solidity and lasting quality
of buildings, as expressive of the virtues of honesty, uprightness,
morality. Confucius, Plate, the Man of Galilee, stating the Golden
Rule in positive form, all make the square an emblem of virtue.
In this very antiquity of the Craft's greatest symbol is a deep lesson;
the nature of a square is an unchanging as truth itself. It was
always so, it will always be so. So, also are those principles
of mind and character symbolized by the square; the tenets of the builders'
guild expressed by a square. They have always been so, they will
always be so. From their very nature they must ring as true on
the farthest star as here.
So will Freemasonry always read it, that its gentle message perish not
from the earth.
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