III.--CONTINUED.

The Romans, in their arched constructions, habitually strengthened the

point against which the vault thrust by adding columnar features to

the walls, as shown in Fig. 108; thus again making a false use of the

column in a way in which it was never contemplated by those who

originally developed its form. In Romanesque architecture the column

was no longer used for this purpose; its place was taken by a flat

pilaster-like projection of the wall (plan and section, Fig. 109),

which gave sufficient strength for the not very ambitious vaulted

roofs of this period, where often in fact only the aisles were

vaulted, and the center compartment covered with a wooden roof. At

first this pilaster-like form bore a reminiscence of a classic capital

as its termination; a moulded capping under the eaves of the building.

Next this capping was almost insensibly dropped, and the buttress

became a mere flat strip of wall. As the vaulting became bolder and

more ambitious, the buttress had to be made more massive and of

greater projection, to afford sufficient abutment to the vault, more

especially toward the lower part, where the thrust of the roof is

carried to the ground. Hence arose the tendency to increase the

projection of the buttress gradually downward, and this was done by

successive slopes or "set-offs," as they are termed, which assisted

(whether intentionally or not in the first instance) in further aiding

the correct architectural expression of the buttress. Then the

vaulting of the center aisle was carried so high and treated in so

bold a manner, with a progressive diminution of the wall piers (as the

taste for large traceried windows developed more and more), that a

flying buttress (see section, Fig. 110) was necessary to take the

thrust across to the exterior buttresses, and these again, under this

additional stress, were further increased in projection, and were at

the same time made narrower (to allow for all the window space that

was wanted between them), until the result was that the masses of

wall, which in the Romanesque building were placed longitudinally and

parallel to the axis of the building, have all turned about (Fig. 110,

plan) and placed themselves with their edges to the building to resist

the thrust of the roofing. The same amount of wall is there as in the

Romanesque building, but it is arranged in quite a new manner, in

order to meet the new constructive conditions of the complete Gothic

building.

[Illustration: Figs. 108-114.]

It will be seen thus how completely this important and characteristic

feature of Gothic architecture, the buttress, is the outcome of

practical conditions of construction. It is treated decoratively, but

it is itself a necessary engineering expedient in the construction.

The application of the same principle, and its effect upon

architectural expression, may be seen in some other examples besides

that of the buttress in its usual shape and position. The whole

arrangement and disposition of an arched building is affected by the

necessity of providing counterforts to resist the thrust of arches.

The position of the central tower, for instance, in so many cathedrals

and churches, at the intersection of the nave and transepts, is not

only the result of a feeling for architectural effect and the

centralizing of the composition, it is the position in which also the

tower has the cross walls of nave and transepts abutting against it in

all four directions: if the tower is to be placed over the central

roof at all, it could only be over this point of the plan. In the

Norman buildings, which in some respects were finer constructions than

those of later Gothic, the desire to provide a firm abutment for the

arches carrying the tower had a most marked effect on the

architectural expression of the interior. At Tewkesbury, for instance,

while the lower piers are designed in the usual way toward the north

and south sides (viz., as portions of a pier of nearly square

proportion standing under the angle of the tower), in the east and

west direction the tower piers run out into great solid masses of

wall, in order to insure a sufficient abutment for the tower arches.

On the north and south sides the solid transept walls were available

immediately on the other side of the low arch of the side aisle, but

on the east and west sides there were only the nave and choir arcades

to take the thrust of the north and south tower arches, and so the

Normans took care to interpose a massive piece of wall between, in

order that the thrust of the tower arches might be neutralized before

it could operate against the less solid arcaded portions of the walls.

This expedient, this great mass of wall introduced solely for

constructive reasons, adds greatly to the grandeur of the interior

architectural effect. The true constructive and architectural

perception of the Normans in this treatment of the lower piers is

illustrated by the curious contrast presented at Salisbury. There the

tower piers are rather small, the style is later, and the massive

building of the Normans had given way to a more graceful but less

monumental manner of building. Still the abutment of the tower arches

was probably sufficient for the weight of the tower as at first built;

but when the lofty spire was put on the top of this, its vertical

weight, pressing upon the tower arches and increasing their horizontal

thrust, actually thrust the nave and choir arcades out of the

perpendicular toward the west and east respectively, and there they

are leaning at a very perceptible angle away from the center of the

church--the architectural expression, in a very significant form, of

the neglect of balance of mass in construction.

But while the buttress in Gothic architecture has been in process of

development, what has the vault been doing? We left it (Fig. 92) in

the condition of a round wagon vault, intersected by another similar

vault at right angles. By that method of treatment we got rid of the

continuous thrust on the walls. But there were many difficulties to be

faced in the construction of vaulting after this first step had been

taken, difficulties which arose chiefly from the rigid and

unmanageable proportions of the circular arch, and which could not be

even partially solved till the introduction of the pointed arch. The

pointed arch is the other most marked and characteristic feature of

Gothic architecture, and, like the buttress, it will be seen that it

arose entirely out of constructive difficulties.

These difficulties were of two kinds; the first arose from the

tendency of the round arch, when on a large scale and heavily

weighted, to sink at the crown if there is even any very slight

settlement of the abutments. If we turn again to diagram 77, and

observe the nearly vertical line formed there by the joints of the

keystone, and if we suppose the scale of that arch very much increased

without increasing the width of each voussoir, and suppose it built in

two or three rings one over the other (which is really the

constructive method of a Gothic arch), we shall see that these joints

in the uppermost portion of the arch must in that case become still

more nearly vertical; in other words, the voussoirs almost lose the

wedge shape which is necessary to keep them in their places, and a

very slight movement or settlement of the abutments is sufficient to

make the arch stones lose some of their grip on each other and sink

more or less, leaving the arch flat at the crown. There can be no

doubt that it was the observance of this partial failure of the round

arch (partly owing probably to their own careless way of preparing the

foundations for their piers--for the mediæval builders were very bad

engineers in that respect) which induced the builders of the early

transitional abbeys, such as Furness and Fountains and Kirkstall, to

build the large arches of the nave pointed, though they still retain

the circular-headed form for the smaller arches in the same buildings,

which were not so constructively important. This is one of the

constructive reasons which led to the adoption of the pointed arch in

mediæval architecture, and one which is easily stated and easily

understood. The other influence is one arising out of the lengthened

conflict with the practical difficulties of vaulting, and is a rather

more complicated matter, which we must now endeavor to follow out.

[Illustration: Figs. 93-107.]

Looking at Fig. 92, it will be seen that in addition to the

perspective sketch of the intersecting arches, there is drawn under it

a plan, which represents the four points of the abutment of the arches

(identified in plan and perspective sketch as A, B, C, D), and the

lines which are taken by the various arches shown by dotted lines.

Looking at the perspective sketch, it will be apparent that the

intersection of the two cross vaults produces two intersecting arches,

the upper line of which is shown in the perspective sketch (marked _e_

and _f_); underneath, this intersection of the two arches, which forms a

furrow in the upper side of the construction, forms an edge which

traverses the space occupied by the plan of the vaulting as two

oblique arches, running from A to C and from B to D on the plan.

Although these are only lines formed by the intersection of two cross

arches, still they make decided arches to the eye, and form prominent

lines in the system of vaulting; and in a later period of vaulting

they were treated as prominent lines and strongly emphasized by

mouldings; but in the Roman and early Romanesque vaults they were

simply left as edges, the eye being directed rather to the vaulting

surfaces than to the edges. The importance of this distinction between

the vaulting surfaces and their meeting edges or _groins_[2] will be

seen just now. The edges, nevertheless, as was observed, do form

arches, and we have therefore a system of cross arches (A B and C D[3]

Fig. 95), two wall arches (A, D and B C), and two oblique arches (A C

and B D), which divide the space into four equal triangular portions;

this kind of vaulting being hence called _quadripartite_ vaulting. In

this and the other diagrams of arches on this page, the cross arches

are all shown in positive lines, and the oblique arches in dotted

lines.

[Footnote 2: A _groin_ is the edge line formed by the meeting and

intersection of any two arched surfaces. When this edge line is

covered and emphasized by a band of moulded stones forming an

arch, as it were, on this edge, this is called a _groin rib_.]

[Footnote 3: The "D" seems to have been accidentally omitted in

this diagram; it is of course the fourth angle of the plan.]

We have here a system in which four semicircular arches of the width

of A B are combined with two oblique arches of the width of A C,

springing from the same level and supposed to rise to the same height.

But if we draw out the lines of these two arches in a comparative

elevation, so as to compare their curves together, we at once find we

are in a difficulty. The intersection of the two circular arches

produces an ellipse with a very flat crown, and very liable to fail.

If we attempt to make the oblique arch a segment only of a large

circle, as in the dotted line at 94, so as to keep it the same level

as the other without being so flat at the top, the crown of the arch

is safer, but this can only be done at the cost of getting a queer

twist in the line of the oblique arch, as shown at D, Fig. 93. The

like result of a twist of the line of the oblique arch would occur if

the two sides of the space we are vaulting over were of different

lengths, i.e. if the vaulting space were otherwise than a square, as

long as we are using circular arches. If we attempt to make the

oblique arches complete circles, as at Fig. 96, we see that they must

necessarily rise higher than the cross and side arches, so that the

roof would be in a succession of domical forms, as at Fig. 97. There

is the further expedient of "stilting" the cross arches, that is,

making the real arch spring from a point above the impost and building

the lower portion of it vertical, as shown in Fig. 98. This device of

stilting the smaller arches to raise their crowns to the level of

those of the larger arches was in constant use in Byzantine and early

Romanesque architecture, in the kind of manner shown in the sketch,

Fig. 99; and a very clumsy and makeshift method of dealing with the

problem it is; but something of the kind was inevitable as long as

nothing but the round arch was available for covering contiguous

spaces of different widths. The whole of these difficulties were

approximately got over in theory, and almost entirely in practice, by

the adoption of the pointed arch. By its means, as will be seen in

Fig. 100, arches over spaces of different widths could be carried to

the same height, yet with little difference in their curves at the

springing, and without the necessity of employing a dangerously flat

elliptical form in the oblique arch. A sketch of the Gothic vault in

this form, and as the intersection of the surfaces of pointed vaults,

is shown in Fig. 101.

But now another and most important change was to come over the vault.

The mediæval architects were not satisfied with the mere edge left by

the Romans in their vaults, and even before the full Gothic period the

Roman builders had emphasized their oblique arches in many cases by

ponderous courses of moulded or unmoulded stone in the form of

vaulting ribs. These, in the case of Norman building, were probably

not merely put for the purpose of architectural expression, but also

because they afforded an opportunity of concealing behind the lines of

a regularly curved groin rib the irregular curves which were really

formed by the junction of the vaulting surfaces. But when the vault

become more manageable in its curves after the adoption of the pointed

arch, the groin rib became adopted in the early pointed vaulting as a

means of giving expression and carrying up the lines of the

architectural design. On its edge were stones moulded with the deep

undercut hollows of early English moulding, defining the curves of the

oblique as well as of the cross arches with strongly marked lines,

and, moreover, falling on a level with each other in architectural

importance; the oblique vault of the arch is no longer a secondary

line in the vaulting design; on the contrary, the cross arches are

usually omitted, as shown in Figs. 102 and 103 (view and plan of an

early Gothic quadripartite vault); so that the cross rib, which, in

the early Romanesque wagon vault (Fig. 90), was the one marked line on

the vaulting surface, has now been obliterated, and the line of the

oblique arch (E F, Figs. 102, 103) has taken its place.

The effect of the strongly marked lines of the groin ribs, radiating

from the cap of the shaft which was their architectural support, seems

to have been so far attractive to the mediæval builders that they soon

endeavored to improve upon it and carry it further by multiplying the

groin ribs. One of the stages of this progress is shown in Figs. 104,

105. Here it will be seen that the cross rib is again shown, and that

intermediate ribs have been introduced between it and the oblique rib.

The richness of effect of the vault is much heightened thereby; but a

very important modification in the mode of constructing it has been

introduced. As the groin ribs become multiplied, it came to be seen

that it was easier to construct them first, and fill in the spaces

afterward; accordingly the groin, instead of being, as it was in the

early days of vaulting, merely the line formed by the meeting of two

arch surfaces, became a kind of stone scaffolding or frame work,

between which the vaulting surfaces were filled in with lighter

material. This arrangement of course made an immense difference in the

whole principle of constructing the vault, and rendered it much more

ductile in the hands of the builder, more capable of taking any form

which he wished to impose on it, than when the vault was regarded and

built as an intersection of surfaces. There was still one difficulty,

however, one slight failure both practical and theoretical in the

vault architecture, which for a long time much exercised the minds of

the builders. The ribs of the vaulting being all of unequal length,

they had to assume different curves almost immediately on rising from

the impost; and as the mouldings of the ribs have to be run into each

other ("mitered" is the technical term) on the impost, there not being

room to receive them all separately, it was almost impossible to get

them to make their divergence from each other in a completely

symmetrical manner; the shorter ribs with the quicker curves parted

from each other at a lower point than the larger ones, and the

"miters" occurred at unequal heights. The effort to get over this

unsatisfactory and irregular junction of the ribs at the springing was

made first by setting back the feet of the shorter ribs on the impost

capping, somewhat in the rear of the feet of the larger ribs, so as to

throw their parting point higher up; but this also was only a

makeshift, which it was hoped the eye would pass over; and in fact it

is rarely noticeable except to those who know about it and look for

it. Still the defect was there, and was not got over until the idea

occurred of making all the ribs of the same curvature and the same

length, and intercepting them all by a circle at the apex of the

vault, as shown in Figs. 106, 107; the space between the circles at

the apex of the vault being practically a nearly flat surface or

_plafond_ held in its place by the arches surrounding it; though, for

effect, it is often treated otherwise in external appearance, being

decorated by pendants giving a reversed curve at this point, but which

of course are only ornamental features hung from the roof. If we look

again at Fig. 104, we shall see that this was a very natural

transition after all, for the arrangement of the ribs and vaulting

surfaces in that example is manifestly suggestive of a form radiating

round the central point of springing, though it only suggests that,

and does not completely realize it. But here came a further and very

curious change in the method of building the vault, for as the ribs

were made more numerous, for richness of effect, in this form of

vaulting, it was discovered that it was much easier to build the whole

as a solid face of masonry, working the ribs on the face of it. Thus

the ribs, which in the intermediate period were the constructive

framework of the vault, in the final form of fan vaulting came back to

their original use as merely a form of architectural expression, meant

to carry on the architectural lines of the design; and they perform,

on a larger scale and with a different expression, much the same kind

of function which the fluting lines performed in the Greek column. The

fan vault is therefore a kind of inverted dome, built up in courses on

much the same principle as a dome, but a convex curve internally,

instead of a concave one, the whole forming a series of inverted

conoid forms abutting against the wall at the foot and against each

other at their upper margins. This form of roof is wonderfully rich in

effect, and has the appearance of being a piece of purely artistic

work done for the pleasure of seeing it; yet, as we have seen, it is

in reality, like almost everything good in architecture, the logical

outcome of a contention with structural problems.

We have already noticed the suggestion, in early Gothic or Romanesque,

of the dividing up of a pier into a multiple pier, of which each part

supports a special member of the superstructure, as indicated in Fig.

90. The Gothic pier, in its development in this respect, affords a

striking example of that influence of the superstructure on the plan

which has before been referred to. The peculiar manner of building the

arch in Gothic work led almost inevitably to this breaking up of the

pier into various members. The Roman arch was on its lower surface a

simple flat section, the decorative treatment in the way of mouldings

being round the circumference, and not on the under side or _soffit_

of the arch, and in early Romanesque work this method was still

followed. The mediæval builders, partly in the first instance because

they built with smaller stones, adopted at an early period the plan of

building an arch in two or more courses or rings, one below and

recessed within the other. As the process of moulding the arch stones

became more elaborated, and a larger number of subarches one within

another were introduced, this characteristic form of subarches became

almost lost to the eye in the multiplicity of the mouldings used. But

up to nearly the latest period of Gothic architecture this form may

still be traced, if looked for, as the basis of the arrangement of the

mouldings, which are all formed by cutting out of so many square

sections, recessed one within the other. This will be more fully

described in the next lecture. We are now speaking more especially of

the pier as affected by this method of building the arches in recessed

orders. If we consider the effect of bringing down on the top of a

square capital an arch composed of two rings of squared stones, the

lower one only half the width (say) of the upper one, it will be

apparent that on the square capital the arch stones would leave a

portion of the capital at each angle bare, and supporting nothing.[4]

This looks awkward and illogical, and accordingly the pier is modified

so as to suit the shape of the arch. Figs. 111, 112, 113, and 114,

with the plans, B C D, accompanying them, illustrate this development

of the pier. Fig. 111 is a simple cylindrical pier with a coarsely

formed capital, a kind of reminiscence of the Doric capital, with a

plain Romanesque arch starting from it. Fig. 112, shown in plan at B,

is the kind of form (varied in different examples) which the pier

assumed in Norman and early French work, when the arch had been

divided into two recessed orders. The double lines of the arch are

seen springing from the cap each way, in the elevation of the pier. If

we look at the plan of the pier, we see that, in place of the single

cylinder, it is now a square with four smaller half cylinders, one on

each face. Of these, those on the right and left of the plan support

the subarches of the arcade; the one on the lower side, which we will

suppose to be looking toward the nave, supports the shaft which

carries the nave vaulting, and which stands on the main capital with a

small base of its own, as seen in Fig. 112--a common feature in early

work; and the half column on the upper side of the plan supports the

vaulting rib of the aisle. In Fig. 113 and plan C, which represents a

pier of nearly a century later, we see that the pier is broken up by

perfectly detached shafts, each with its own capital, and each

carrying a group of arch mouldings, which latter have become more

elaborated. Fig. 114 and plan D show a late Gothic fourteenth century

pier, in which the separate shafts have been abandoned, or rather

absorbed into the body of the pier, and the pier is formed of a number

of moulded projections, with hollows giving deep shadows between them,

and the capitals of the various members run into one another, forming

a complete cap round the pier. This pier shows a remarkable contrast

in every way to B, yet it is a direct development from the latter. In

this late form of pier, it will be observed that the projection, E,

which carries the vaulting ribs of the nave, instead of springing from

the capital, as in the early example, Fig. 111, springs from the

floor, and runs right up past the capital; thus the plan of the

vaulting is brought, as it were, down on to the floor, and the

connection between the roofing of its building and its plan is as

complete as can well be. In Fig. 113 the vaulting shaft is supposed to

stop short of the capital and to spring from a corbel in the wall,

situated above the limit of the drawing. This was a common arrangement

in the "Early English" and "Early Decorated" periods of Gothic, but it

is not so logical and complete, or so satisfactory either to the eye

or to the judgment, as starting the vaulting shaft from the floor

line. The connection between the roofing and the plan may be further

seen by looking at the portion of a mediæval plan given under Fig.

110, where the dotted lines represent the course of the groin ribs of

the roof above. It will be seen how completely these depend upon the

plan, so that it is necessary to determine how the roof in a vaulted

building is to be arranged before setting out the ground plan.

[Footnote 4: This was illustrated by diagrams on the wall at the

delivery of the lecture.]

Thus we see that the Gothic cathedral, entirely different in its form

from that of the Greek temple, illustrates, perhaps, even more

completely than the Greek style, the same principle of correct and

truthful expression of the construction of the building, and that all

the main features which give to the style its most striking and

picturesque effects are not arbitrarily adopted forms, but are the

result of a continuous architectural development based on the

development of the construction. The decorative details of the Gothic

style, though differing exceedingly from those of the Greek, are, like

the latter, conventional adaptations of suggestions from nature; and

in this respect again, as well as in the character of the mouldings,

we find both sides illustrating the same general principle in the

design of ornament, in its relation to position, climate, and

material; but this part of the subject will be more fully treated of

in the next lecture.

We have now arrived at a style of architectural construction and

expression which seems so different from that of Greek architecture,

which we considered in the last lecture, that it is difficult to

realize at first that the one is, in regard to some of its most

important features, a lineal descendant of the other. Yet this is

unquestionably the case. The long thin shaft of Gothic architecture is

descended, through a long series of modifications, from the single

cylindrical column of the Greek; and the carved mediæval capital,

again, is to be traced back to the Greek Corinthian capital, through

examples in early French architecture, of which a tolerably complete

series of modifications could be collected, showing the gradual change

from the first deviations of the early Gothic capital from its

classical model, while it still retained the square abacus and the

scroll under the angle and the symmetrical disposition of the leaves,

down to the free and unconstrained treatment of the later Gothic

capital. Yet with these decided relations in derivation, what a

difference in the two manners of building! The Greek building is

comparatively small in scale, symmetrical and balanced in its main

design, highly finished in its details in accordance with a

preconceived theory. The Gothic building is much more extensive in

scale, is not necessarily symmetrical in its main design, and the

decorative details appear as if worked according to the individual

taste and pleasure of each carver, and not upon any preconceived

theory of form or proportion. In the Greek building all the

predominant lines are horizontal; in the mediæval building they are

vertical. In the Greek building every opening is covered by a lintel;

in the Gothic building every opening is covered by an arch. No two

styles, it might be said, could be more strongly contrasted in their

general characteristics and appearance. Yet this very contrast only

serves to emphasize the more strongly the main point which I have been

wishing to keep prominent in these lectures--that architectural

design, rightly considered, is based on and is the expression of plan

and construction. In Greek columnar architecture the salient feature

of the style is the support of a cross lintel by a vertical pillar;

and the main effort of the architectural designer is concentrated on

developing the expression of the functions of these two essential

portions of the structure. The whole of the openings being bridged by

horizontal lintels, the whole of the main lines of the superstructure

are horizontal, and their horizontal status is as strongly marked as

possible by the terminating lines of the cornice--the whole of the

pressures of the superstructure are simply vertical, and the whole of

the lines of design of the supports are laid out so as to emphasize

the idea of resistance to vertical pressure. The Greek column, too,

has only one simple office to perform, that of supporting a single

mass of the superstructure, exercising a single pressure in the same

direction. In the Gothic building the main pressures are oblique and

not vertical, and the main feature of the exterior substructure, the

buttress, is designed to express resistance to an oblique pressure;

and no real progress was made with the development of the arched style

until the false use of the apparent column or pilaster as a buttress

was got rid of, and the true buttress form evolved. On the interior

piers of the arcade there is a resolution of pressures which

practically results in a vertical pressure, and the pier remains

vertical; but the pressure upon it being the resultant of a complex

collection of pressures, each of these has, in complete Gothic, its

own apparent vertical supporting feature, so that the plan of the

substructure becomes a logical representation of the main features and

pressures of the superstructure. The main tendency of the pointed

arched building is toward vertically, and this vertical tendency is

strongly emphasized and assisted by the breaking up of the really

solid mass of the pier into a number of slender shafts, which, by

their strongly marked parallel lines, lead the eye upward toward the

closing-in lines of the arcade and of the vaulted roof which forms the

culmination of the whole. The Greek column is also assisted in its

vertical expression by the lines of the fluting; but as the object of

these is only to emphasize the one office of the one column, they are

strictly subordinate to the main form, are in fact merely a kind of

decorative treatment of it in accordance with its function. In the

Gothic pier the object is to express complexity of function, and the

pier, instead of being a single fluted column, is broken up into a

variety of connected columnar forms, each expressive of its own

function in the design. It may be observed also that the Gothic

building, like the Greek, falls into certain main divisions arising

out of the practical conditions of its construction, and which form a

kind of "order" analogous to the classic order in a sense, though not

governed by such strict conventional rules. The classic order has its

columnar support, its beam, its frieze for decorative treatment. The

Gothic order has its columnar support, its arch (in place of the

beam), its decoratively treated stage (the triforium), occupying the

space against which the aisle roof abuts, and its clerestory, or

window stage. All these arise as naturally out of the conditions and

historical development of the structure in the Gothic case as in the

Greek one, but the Greek order is an external, the Gothic an internal

one. The two styles are based on constructive conditions totally

different the one from the other; their expression and character are

totally different. But this very difference is the most emphatic

declaration of the same principle, that architectural design is the

logical, but decorative, expression of plan and construction.

* * * * *

Scientific American Supplement, No. 647, May 26, 1888 · 第 37 / 59 题