The Cavity is evidently referred to in the Mystical Gospel of St. John

(iii. 16), in the question by and answer to Nicodemus, and it was the

eye of the needle referred to in St. Mark x. 25, in answer to the

question in verse 17, and again in St. Luke xviii. 25. In later ages

this symbol was extensively used by the Christian Church to surround

the "Soul of a Saint" after death (illustrated in _Magister

Mathesios_). The date of the birth of a Saint was always given as the

date on which he or she died and had been born again in the Spiritual

Life, and the Saint was depicted in a Vesica Piscis, the vulva of the

_Ruach_ or Holy Spirit, representing this new birth. To show the

extraordinary reverence and high value attached to this symbol, it is

only necessary to remember that, from the fourth century, when Theon

of Alexandria lectured on Geometry, and onwards, all Seals of

Colleges, Abbeys, Monasteries, and other religious communities, as

well as of ecclesiastical persons, have been made invariably of this

form, and they continue to be made so to this day. It was also in

allusion to this most sacred ancient emblem that Tertullian, and other

early Fathers, spoke of Christians as "Pisciculi." It was called the

"Vesica Piscis" (Fish's Bladder), and named, no doubt, by the Greeks

at the beginning of our Era, for the purpose of misleading the

ignorant from the true meaning of the Figure.

One can well understand the object which led the learned Rabbi

Maimonides, the greatest savant of the Middle Ages, when addressing

his pupils in the twelfth century, to command his hearers: "When you

have discovered the meaning thereof, do not divulge it, because the

people cannot philosophise nor understand that to the Infinite there

is no such thing as Sex;" but later on the noted writer on Symbolism,

Durandus, in the introduction to his book, is more explicit, and gives

the real meaning as follows: "The Mystical Vesica Piscis ... wherein

the Divinity and, more rarely, the Blessed Virgin are represented,

has no reference, except in name, to a fish, but represents the

Almond, the symbol of Virginity and self-production."

The Vesica Piscis, and its name, is intimately connected with the

discovery, by Augustus Caesar in the century preceding our Era, as

narrated by Baronius, of a prophecy in one of the Sibylline books,

foretelling "a great event coming to pass in the birth of One who

should prove to be the true 'King of Kings,' and Augustus Caesar

therefore dedicated an altar in his palace to this unknown God."

Eusebius and St. Augustine inform us that the first letter of each

line of the verses from the Erythrean Sibyl containing this prophecy,

formed the word [Greek: ICHTHYS] (a fish), and were taken as

representing the sentence: [Greek: Iesous Christos Theou Huios

Soter]("Jesus Christ, the Son of God, the Saviour"). Based upon this

discovery arose that extraordinary enthusiasm, during the second,

third, and fourth centuries, for hunting up further prophecies in

Pagan sources, resulting in a great number of Sibylline verses being

invented, giving the minutest details in the Life of our Lord. These

fabrications seem to have been at that time generally accepted by the

masses as true prophecies, though we know now that they were written

some centuries after the events they were supposed to foretell.

Let us now return to the Vesica Piscis. In the paintings and

sculptures of the Middle Ages, we find it constantly used to

circumscribe the figure of the Saviour, especially whenever He is

represented as judging the world and in His glorified state. Many

beautiful examples of this in Anglo-Saxon work of the tenth century

may be seen in King Edgar's Book of Grants to Winchester Cathedral and

the famous Breviary of St. Ethelwolfe. Numerous illustrations of these

and other pictures of the Middle Ages, as also diagrams of the

properties of the Vesica Piscis, can be seen in the volume I have

already referred to dealing fully with this subject.

The building fraternity was a purely Christian community; the First

Crusade raised a great enthusiasm for building Christian Churches, and

brought in large gifts of money for that purpose. Up to 1140 Norman

Architecture held sway, having the "Square" for its unit, its greatest

symbol being the _Gnomon_, representing knowledge; but about that

time, as we have seen, arose from the study of Geometry, the head of

all learning, a Mystical form having the mysterious figure of the

Vesica Piscis, the true Gothic Arch, with the Equilateral Triangle

enclosed as its unit, and symbolising the Trinity in Unity. The

recognition of the import of the Trinity was paramount throughout

those early days; all important documents began with an Invocation of

the _Tres Personae_, or were garnished with symbolic illustrations

thereof; all the old MSS., already referred to, which have come down

to us from that period, invariably commence with "In the name of the

Father and of the Son and of the Holy Ghost."

It can therefore be readily understood what determined the sudden

change between 1140-1150, resulting in that wonderful accession of

beauty to architectural design which we find in the Gothic. The

incentive had to be a strong one, and of an eminently religious

character, to accomplish the radical change of throwing over so

absolutely the Norman, and commencing to build entirely on what are

called Gothic lines. A careful examination of the proportions of the

structures themselves, and the character of the decorations found in

the finest examples of buildings representing that style, at once

shows us that the incentive was the symbolism attached to the

mysterious figure called the Vesica Piscis, which appears to be not

only the principal feature upon which the whole style rests, but is

also employed, as a symbol of the Divine, wherever we have Gothic

Architecture, either in painted windows or mural decorations. Every

Cathedral has its Vesica Piscis, often of enormous dimensions.

Geometry was synonymous with Masonry, and the very _foundation_

of the Science of Geometry, as expounded by Euclid, was his

_first_ proposition. _Every single problem_ in the whole of his

books necessitates for its construction the use of this one

foundation--namely, "how to form an Equilateral Triangle," and this is

the Mystical form of "the Knowledge of the Square." This triangle,

symbolising the Logos, is therefore not only the _beginning_ of the

Science of Geometry, and therefore of Masonry, the Head of all the

Sciences, but it is by that triangle that all Geometrical forms, and

therefore forms of knowledge, are _made_, and it became the most

mysterious and secret symbol of the Logos, for is it not written by

St. John that "In the beginning was the Logos, and by it were all

things made"; so the Vesica Piscis, the cradle of the Logos, became

the great _secret_ of Masonry, the foundation as we find it upon which

Gothic Architecture was evolved, the means by which its wonderful

plans were laid down, and the most reverenced figure in Religious

Symbolism, as shown by its use in seals, engravings, sculptures,

pictures, &c., throughout the Middle Ages.

Let me make this clearer. The more one examines the typical points in

the Saxon, Norman, and Gothic styles of Architecture, the more clearly

one sees that the Architects of the two former used circles and

squares on their tracing-boards, as units for their proportions, in

drawing up both ground plans and elevations, with here and there

suggestions only of the Equilateral Triangle having been made use of

in some of the smaller details; whereas the Gothic Architects seem to

have used the Vesica Piscis almost entirely. This explains the reason

why true Gothic buildings have always been said to be built mainly on

the basis of the Equilateral Triangle; this naturally follows, because

the use of the Vesica creates, and therefore necessitates, the

appearance of the Equilateral Triangle in every conceivable situation.

The following quotation is typical of the leading essay writers on

this subject: "The Equilateral Triangle enters largely into, if it

does not entirely control, all mediaeval proportions, particularly in

the ground plans. In Chartres Cathedral the apices of two Equilateral

Triangles (_vide_ frontispiece to these Views), whose common base is

the internal length of the transept, measured through the two western

piers of the intersection, will give the interior length, one apex

extending to the east end of the chevet within the aisles, the other

to the original termination of the Nave westward, and the present

extent of the side aisles in that direction. With slight deviation,

most, if not all, the ground plans of the French Cathedrals are

measurable in this manner, and their choirs may be so measured almost

without exception. Troyes Cathedral is in exact proportion with that

of Chartres, and the choirs of Rheims, Beauvais, St. Ouen at Rouen,

and others are equally so. Bourges Cathedral, which has no transept,

is exactly three Equilateral Triangles in length inside, from the East

end of the outer aisle to the Eastern columns supporting the West

Towers. Most English Cathedrals appear to have been constructed in

their original plans upon similar rules." White's Classical Essay on

Architecture compares the Norman with the Gothic, where he says: "In

what is usually called the Norman period, the general proportions and

outlines of the Churches are reducible to certain rules of setting out

by the plain Square. As Architecture progressed the Square gradually

disappeared, and the proportion of general outline, as well as of

detail, fell in more and more with applications of the Equilateral

Triangle, till the art, having arrived at its culminating point, or

that which is generally acknowledged to be its period of greatest

beauty and perfection in the thirteenth and the beginning of the

fourteenth centuries, again began to decline. With this decline the

Equilateral Triangle was almost lost sight of, and then a mode of

setting out work by diagonal squares was taken up, for such is the

basis found exactly applicable to the work of the fifteenth century,

since which time mathematical proportions have been generally

employed." And after referring to numerous scale drawings of Churches,

windows, doors, and arches, he points out that every student of Church

architecture must pronounce those of the untraceried and traceried

first point to be the most beautiful of all, those of the Norman to be

a degree less so, and those of the perpendicular and debased to be far

inferior to either, and in that analysis we find that the Equilateral

Triangle was used almost exclusively for determining one order (the

Gothic), the Square for another (the Norman), and the Square

diagonally divided for the other (the debased).

Now let me try to describe the wonderful properties of the Vesica

Piscis, so that you may understand the mystery which shrouded it in

the minds of those Mediaeval builders. The rectangle formed by the

length and breadth of this figure, in the simplest form, has several

extraordinary properties; it may be cut into three equal parts by

straight lines parallel to the shorter side, and these parts will all

be precisely and geometrically similar to each other and to the whole

figure,--strangely applicable to the symbolism attached at that time

to the Trinity in Unity,--and the subdivision may be proceeded with

indefinitely without making any change in form. However often the

operation is performed, the parts remain identical with the original

figure, having all its extraordinary properties, the Equilateral

Triangle appearing everywhere, whereas no other rectangle can have

this curious property.

It may also be cut into four equal parts by straight lines parallel to

its sides, and again each of these parts will be true Vesicas, exactly

similar to each other, and to the whole, and of course the Equilateral

Triangle is again everywhere.

Again, if two out of the tri-subdivisions mentioned above be taken,

the form of these together is exactly similar, geometrically, to half

the original figure, and again the Equilateral Triangle is ubiquitous

on every base line.

Again, the diagonal of the rectangle is exactly double the length of

its shorter side, which characteristic is absolutely _unique_, and

greatly increases its usefulness for plotting out designs; and this

property of course holds good for all the rectangles formed by the

original figure and for the other species of subdivision. But perhaps

its most mysterious property (though not of any practical use) to

those who had studied Geometry, and to whom this figure was the symbol

of the Divine Trinity in Unity, so dear to them, was the fact that it

actually put into their hands the means of _trisecting_ the Right

Angle.

Now, the three great problems of antiquity which engaged the attention

and wonderment of geometricians throughout the Middle Ages, were "the

Squaring of the Circle," "the Duplication of the Cube," and lastly,

"the Trisection of an Angle," even Euclid being unable to show how to

do it; and yet it will be seen that the diagonal of one of the

subsidiary figures in the tri-subdivision, together with the diagonal

of the whole figure, actually trisect the angle at the corner of the

rectangle. It is true that it only showed them how to trisect one kind

of angle, but it was that particular angle which was so dear to them

as symbolising their craft, and which was created by the Equilateral

Triangle. All these unique properties place the figure far above that

of a square for practical work, because even when the diagonal of a

square is given, it is impossible to find the exact length of any of

its sides or _vice versa_; whereas in the Vesica rectangle the

diagonal is exactly double its shorter side, and upon any length of

line which may be taken on the tracing-board as a base for elevation,

an Equilateral Triangle will be found whose sides are of course all

equal and therefore known, as they are equal to the base, and whose

line joining apex to centre of base is a true Plumb line, forming at

its foot the perfect right angle, so important in the laying of every

stone of a building.

In the volume referred to I have given a skeleton plan upon such a

scale of subdivision that a tracing-board, of 5 feet by 8 feet, would

be divided up into over one million parts, and, as all these

subdivisions are perfect representations of the original Vesica figure

with all its properties, the design of the largest building, with the

minutest detail, could be drafted with absolute accuracy. There are

many other curious properties of this Figure, but they are difficult

to explain without diagrams. I will, however, give one more example of

its creative power. The problem of describing a Pentagon must have

puzzled architects considerably in those early times, but this was

again easily accomplished by means of the Vesica. Albrecht Duerer, the

great designer and engraver, who lived at the end of the fifteenth

century, refers to the Vesica in his works (_Dureri Institutune

Geometricarum_, lib. ii. p. 56) in a way which shows that it was as

commonly known in his time as the Circle, Square, and Triangle. His

instructions for forming a Pentagon are: "Designa circino invariato

tres piscium vesicas" (describe with unchanged compasses three vesicae

piscium). Three similar circles are described with centres at the

angles of an Equilateral Triangle, forming the three Vesicae, by means

of which the Pentagon is drawn, and from which also we get a beautiful

form of arch very common in the thirteenth century (_vide_

illustrations in _Magister Mathesios_). This is also the method used

in that old manuscript of the fifteenth century named "Geometria

deutsch." In this old MS. it is also shown that the easiest method for

finding the centre of a circle, however large, or any segment of a

circle, is by means of the Vesica Piscis. And just as we see so many

Cathedrals of the Middle Ages are stated by antiquarians to have been

planned on the Equilateral Triangle, so do we find the Pentagon

appearing as the basis of Architectural designs of buildings of a

later date, such as Liverpool Castle, Chester Castle, and other

similar structures; but the true means by which each were laid down,

as in the case of the Equilateral Triangle, was again the Vesica

Piscis. A beautiful example of decoration, on the basis of the Vesica,

is seen in the tomb of Edward the Confessor in Westminster Abbey.

I will conclude this subject by quoting from the summing up by Prof.

Kerrich (Principal Librarian to the University of Cambridge in 1820),

in his masterly Essay on Architecture, where he gives the different

forms of what he calls the "Mysterious Figure," used in the most

noted Gothic buildings: he says, "I would in nowise indulge in

conjectures as to the reference these figures might possibly have to

the most sacred mysteries of religion; independently of any such

allusion, their properties are of themselves sufficiently

extraordinary to have struck all who have observed them."

From earliest Christian times the principal _doctrine_ based upon the

Mysticism of the Neo-platonists and the Kabalists was what was called

the [Greek: Gnosis], the Knowledge of the All, and the fundamental

basis of this, as of all esoteric teaching from the beginning of

History, was _Procreation_. From the first dawn of civilisation the

"Great One" always had an enemy with whom he had to fight; having

conquered, he married that enemy, and their offspring was Life or

Duration. In the oldest forms, as in Persia and ancient Egypt, it was

Light and Darkness, "Ormuz and Ahriman," "Osiris and Isis," the Light

conquering Darkness, the Day conquering Night, resulting in Time and

duration. In the Eleusinian Mysteries it was the "Sun and Earth"

producing Vegetable Life, and in the [Greek: Gnosis] it was the

"Ainsoph and Ignorance," resulting in True Knowledge or Everlasting

Life.

In the Vesica Piscis (_vide_ frontispiece) we see two Equilateral

Triangles formed on the same base, similar to what we found in the

ground-plan of Chartres and other Gothic Cathedrals; these two

triangles symbolised to the Mediaeval Builders the Divine and Human

Natures of the Logos, the Word, the Creator; they are both procreated

and enclosed in the Vesica; the one having the Apex pointed upwards,

represented Divine or Spiritual Life, and in that I have placed the

"Tetragrammaton," the Word or name of God (Jehovah), which, throughout

the Jewish race for thousands of years, was held to be so sacred that

they did not dare to utter it aloud. It was, at this time, depicted in

the Equilateral Triangle, the symbol of the Logos, becoming thus the

Masonic Word of the Middle Ages, and was probably used, exoterically,

for purposes of recognition among members of the Great Building

Societies, with the introduction of Gothic Architecture; but the

_esoteric_ teaching, which was known only to the elite of the Craft

and not by the Ordinary Operatives, was the mystical _procreation_ of

that triangle, the doctrine of Spiritual or New Birth, symbolised by

that mysterious figure which we have seen was the very foundation

stone of Geometry, and therefore of Tectonic Art, the Head of all

learning, and the great Secret of Gothic Architecture, called for

esoteric purposes "Vesica Piscis." The Triangle, having the Apex

pointing downwards, represented Human or Physical Life, and I have

placed therein a representation of _sacrificial_ death, which we shall

see was introduced, as a necessity, for the good of the Race.

As "everything in Heaven has its counterpart on Earth," so may we see,

by introspection, that the _reflecting_ surface, the thin, physical

film between the Human and Divine, is represented by that Base, and

Human Life then becomes truly, as it should be, the reflection of the

Divine.

One more glance through the Window at what I will call--

"The Mystery of the Apex."

The earliest forms of Life, the unicellular "Beings," whether animal

or vegetable--for both divisions, if they can be said to be divided,

have the same protoplasmic cell as basis of life--were, and are still,

immortal except for accidents; they are not subject to natural death

as we know it; they multiply by fission and not by "budding." It was

only with the building up of cell upon cell into communities, and the

advent of polycellular beings of greater and greater complexity of

structure, that the "Wisdom" behind natural laws introduced death as

an _adaptation_, to prevent monstrosities in the shape of mutilated

specimens being perpetuated on the earth. Life is purely physical and,

in conformity with the modes under which our physical senses act, has

the appearance of tri-unity. As white light is seen to be composed of

but three primary colours, as Music is based on the Triad, as Space is

known to us in three dimensions only, and Geometry, "the Head of all

Learning," is based upon the Circle, Square, and Triangle, so may we

see life in its three primary aspects: the Animal, Vegetable, and

Material. The last-mentioned aspect, though long suspected, from the

investigation of Crystallography, to have in some mysterious way a

common basis with the animal and vegetable, was not fully grasped

until, in the last few years, we have been able to study in our

laboratories the actual evolution, or more correctly devolution, of

matter from one form to another; and as all plants and animals are

found to be built up of the same identical protoplasmic cells, so are

we now able to break down and analyse not only these cells but even

the very structure of matter, and find that all substances are built

up of exactly the same bricks, the different forms known to us as

Elements being the _designs_ of the great Architect upon which each

structure has been built; and these completed designs again are used

and become the "ashlars" of the higher forms of plant and animal

structure. As Evolution in the Animal and Vegetable Kingdoms has

given us Species, so in the Material it has developed Elements. The

structures of animal and vegetable life are of comparatively recent

formation, and are still apparently progressing in the direction of

complexity, whereas the structures of matter appear to have long

passed the stage of highest complexity, and the elements are now

undergoing the retrograde process of being transformed, by

radio-activity, from the more complex into simpler elements of lower

atomic denominations--namely, having fewer bricks in each atom.

All these material designs are more or less radio-active--namely,

changing into other elements, but some, like radium, polonium, &c.,

are active to an extraordinary extent. Each molecule or atom may be

looked upon as an _aperture_, more or less open, through which we have

flowing the equivalent of what may be called a leak from the Infinite,

the changing of one element into another being represented by the

change of shape or activity of that aperture. Countless ages ago these

apertures were, by evolution, growing more and more complex in shape,

but when the limit of complexity was reached and the _Apex_ was

passed, an adaptation, somewhat analogous to death in the animal and

vegetable, must have come into play, with the result that these

apertures are now becoming more and more simple in their shape and

activity. The Infinite referred to above may be diagnosed by some as

being in the fourth dimension of space, or it may even be comprised

within the Ether of our known three dimensions, for the discovery of

radio-activity has enabled us to see that Ether is not only as dense

as iron, but millions of times denser than that metal, every cubic

foot, or probably cubic inch, being capable of supplying millions of

horse-power if it could only be tapped. A homely simile of this leak

from the Infinite may be seen in a glass of aerated water, where an

irregularity of surface, a crumb of bread, or a grain of sand becomes

the means by which carbonic-dioxide escapes from the interstices of

the water.

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