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' ~‘ . 2* a . LIBRARY

     
    
 
 
 
   
 
 
   
  

 

 

' THE LIBRARY
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' ‘ , ‘ THE UNIVERSITY
1 ’ ‘ OF CALIFORNIA

. . GIFT OF
. Gwynn Officer

f 1 : ARCH.

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TheCITYand COUNTRY

BUILDERsand WORKMANS

TREASURY ofDESIGNS

Or the ART of

DRAWING and WORK‘ING'

The Ornamental P A R T S of

ARCHITECTURE.

Illuf’rrated by upwards of Four Hundred grand Defigns, neatly engraved on
One Hundred and Ezgnty—fx COPPER- PLATES, for

 

 

 

 

Piers, ' Pavements, Obe/ifgues,

Gates, Frets, Pedeflals, for

Doors, Guloebi ’s, Sun-Dials,

Windows, Pulpits, Bu/to’s, and
' Niebes, 731])“, Stone Tao/es,

Bzfits, fl/tar-Pieees, Book-Cafes,
, Ci erns, fllonzements, Cielings, and
Chimney-Pieces, Fonts, *' Iron PVorks.»

Tabernacle Frames,

Proportioned by A L I (LU 0 T P A R T S. .- "ii"?

With an A P P E N D I X of Fourteen P L A T E S of flinfles for Girders and Beams, different

Sorts of Rafters, and a Variety of R00f5, 86c.

To which are prefix’d,

The Five Orders of Columns, according to A N D R E A P A L L A D I o; whofe Members agj

prop01 t1oned by AL IQ'UOT PA R T s, in a more eafy Manner than has yet been done.

The W H O L E interfperfed

With furc R ULES for working all the Varieties of Raking Member's 1n Pediments, Modi/lz'ons, 85c;

The like, for the immed1ate Ul'e of WO R KM E N, never publifhed before, in any Language.

By B. L/Vrjefl7 ,

LON D 0N, Printed for and Sold by S. HA3 1: I N c, on the Pavement in St. Martin’4-Lane. 1750;

,_;~

 

u... AAA. 1. .51; A

 

e
_\\'..'
.

ARCH.
LIBRARY

1 NT R on u c: TI 0 N.

' "- H E great. Pleafure that Builders and Workmen of all Kinds have of late Years taken in
'1 .» 'l the StLidy of Architecture; and the great, Advantages that have accrued to thofe,

fOr whom they have been employed; by having their Works executed in a much
neater and more magnificent Manner than was ever done in this Kingdom before; has

been the real Motive that induced me to the compiling of this Work, for their further
Improvement.

Belides, as the Study of Architeéture is really delightful in all its Procefs; its Pradtice is evidently
of the greatel’t Importance to Artificers in general; and its Rules fo eafy, as to be acquired at leifure
Times, when the Bufinefs of Days is over, by Way of Diverlion: ’Tis a Matter of very great Sur-
prize to me, how any Perfon dare prefume to difcourage others from the Study thereof, and thereby

 
 
   

‘ . we,»
a,“

 

. render them very often lefs ferviceable to the Publick than fo many Brutes.

But to prevent this lnfeétion from diffufing its poifonous Efliuvia’s any further; and in Confidera-
tion, that among& all Sorts of People, there are fome, in whom Nature has implanted that noble
Faculty of the Soul, called R E A s o N, whereéy we judge of Things : 'I have therefore, at a very great
Expence, compiled this Work for the common Good of all Men of Reafon, whofe Bufinelfes require
the Knowledge of this Art, and who defire to become Proficients therein.

The Brit Work to be done in order thereto,‘ is perfeétly to underl’tand the Five Orders of Columns,
which here I have placed precedent to the Defigns for that Purpofe; and which I peremptorily admonilh,
be well underflood, before any Proceeding be made to attempt the Art of Defrgning.

The Five Orders of Columns have their Members f0 eafily adjulted, that the Reader, after having
once read their Explanations, need never read them a fecond Time. Nor will their general Proportions
efcape his Memory, after having praétifed them about half a Dozen Times.

The Deligns contained herein, and the Orders preceding them, are in general adjufled by Aliquot
Parts -, fo that when the Height of any Work to be made, is known, (which in all L‘afcs mull firft be
given) and divided into fome certain Number of equal Parts", as affixed to every Defign; the Heights
and Projections ofits Members are thereby determined. And, that young Students may not be at a
Lofs herein, I have, for their further lnllrué‘tion fliewn their particular Members, with their Meafures
at large; which the Deligns of Inigo yams, and all other Mallets to this Time, are defeftive in, and
confequently are of no‘more Ufe to VVorkmen, than f0 many Pictures to gaze at ; not fo many Rules,
or Examples to work by, or after ; unlefs to fuch, who underl‘tand the Architecture thereof, as well as
their Authors, who defigned them. i

I lhall now proceed to explain the Orders in the molt familiar Manner -, which will render the Under-
fianding of all the following Defigns confpicuous to every Capacity.

BLANGLET.
C o N T E N T 8

Of the Fourteen Plates of R O O F S, 636'. which are added to the IVork.

PlateI. The fplicing or lengthening of Beams explained;
3 Beam Camber, \xith an Inch and Qiatter Spring. to 25 Feet
extent ; different Trulfes for Girders and Beams, different Scarf-
ings for Wall-plates, Railings, {3%. Plate II. Requilites for
{quire Roofs CXPlAlnt’d. Pl rte [IL A fecond Method for fplicing
and lengthening ofBenms. The. Lengths and Angles of the Backs
of Hip-Rafters in irregular Roofs explained. The Lengths

with an Open Gutter, and double hipp‘d at the other End) in
Ledgement. Plate VII. A'hipp‘d Roof in Ledgement having
one End fquare, and the Other End bevel with a camber‘tl
Flat for :1 Balcony on its Top. Plate IX. An irregular
double Roof in Ledgement. Plate X. Two Varietit‘: of framing
irregular fingle Roofs which are hipp'd at one lind, and gabltd
at the other. Plate XI. 'l‘wo Examples of irreg~l1r Roofs in
and Angles of the Ihcks of Hip—Rafters in polygonal Roofs Ledgement. PlateXIl. Eight Examples of Ttui‘l‘es for prin-
cxplamed. I‘lztte IV. Circular, Elliptical, Cir. [lip-Rafters to cipal Rafters true pitch. Plate XIII. Ten Examples for traf-
oftangular and ipheroidicnl Roofs explained. Plate V. To lay fed Roofs. Plate XIV. SetIions of trufl‘ed Roofs, with the
out a fquare Roof in Ledgement. Plate VI. A {Zinc-re double Roofs of the Churches of St. Pay/'5, Cum: Garden, and Grin:-
Roof(commonly called :in M Rog/y in Ledgement. Plate VII. midi, with Remarks.
An oblong double Roof (returned with fingle Hips at one End,

7».

  
   

ARCH.
V2273 LIBRARY

1‘

of; ,
, . y!’ g
‘3'!"

ART of DESIGNING and WORKING

THE

ORNAMENTAL 'PAR'TS of BUILDINGS.

 

QHAP. 1.

Of the Manner of Proportioning the Five Orders of Columns in Architeéture
by Aliquot Parts“

I. Of the TUSCAN ORDER.

P R O B. I. To proportion the Height: of the prin-
cz'pol Parts of the Tufcan Order, Fig. 1. Plate I.

5 RACTICE. Divide £20 a given

. Height into 5 equal Parts, the low—

er 1 Part h o is the Height of the

Pedef’tal. Divide a h the remain-

' 3 ing 4 Parts into 5 equal Parts, the

upper I Part a d, is the Height of

the Entablature, and d It, the lower 4, of the
Column.

 

1’ R0 B. II. To proportion the Heights of the Primi-
pol Ports of the Tufcan Pedcflol, Fig. II.

Divide o w, a given Height into 4. Parts, the

lower 1, is the Height of the Plinth, {of the
next 1, of the Mouldings on the Plinth, and half
the upper I of the Cornice. '

PR 0 B. III. To proportion the Heights of the Mom-
her: 011 the Plinth ; and of the Cornice of the
Tufcan Pods/tot.

If the Mouldings on the Plinth be an Inverted
Cima reéia between two Fillets, divide the Height
in 6, give I to each Fillet, and 4 to the Cima;
but if the Mouldings are a Caveto on a Fillet,
give 4 to the Caveto and 2 to the Fillet. Di-
vide the Height of the Cornice in 6, give the
upper 1 to the Regula E, the next 3 to the Faf-
cia F, and the remaining 2 to a Cima reverfa,
or a Caveto with its-Fillet, whofe Height is half
one Part. '

B P R O B.

WW88291

 

 

 

2 0f the TUsCA‘N ORDER.

P R O B. IV. To determine the Projettz'on: of the
Dodo, Bofi: and Cornice of the Tufcan Pede/t‘ul.
Fig. 11. Plate 1..

( I.) Divide QN, equal to the Height of the
Bafe in 5 Parts, and the upper I in 7 Parts;
Make z O_the Ptgjeétion of the Dado, equal to
4 Parts and 75-. (2. ) The Projection of the
Plinth (q p) is equal to (r q) the Height of the
Mouldings on the. Plinth, as alfo is the Projeétion
of the Cornice, from the Upright of the Dado,
in every Order. Draw x y at l’leafure, at any
Part againft the Dado, which divide in 6 Parts,
and terminate the Members in the Bafe and Cor-
nice, as is exprelTed by the dotted Lines proceed-
ing upward and downward from them.

Fig.‘ G. exhibits the Manner of defcribing a
Cima reverfa at large, whofe Projeétion is g of its

Height.

P R O B. V. To proportion the Heights of the prin-
cipal Part: of the Tufcan Column, Fig. I. Pl. II.

(1.) Divide the given Height in 7 equal Parts,
and take I for the Diameter of ‘the Column at its
Bafe; therefore note, that the Height of the Co-
lumn is 7 Diameters. (2.) The Height of the
Bafe, and of the Capital, are each half a Dia-
meter.

P R O B. VI. To proportion the Heights of the
Mmhers of the Bee/e of the Tufcan Column.

Divide I t the Height of the Bafe in 2 Parts, as
the Bafe on the Pedefial, Fig. II. Plate 1. the low—
er I is the Height of the Plinth D, and the upper
1 of its Torus C, with the Cinfture B, which is
a fourth Part thereof.

P R O B. VII. T o proportion the Heights of the
Memher: of the Tufcan Capital.

Divide, the Height of the Capital M R, into 3
Parts, as in Fig. II. Plate II. give the upper I to
its Abacus M N, the Middle I to the Ovolo O
with its Fillet I’, which is a fixth Part, and the lower
I to che Neck of the Capital. The Height of
the Aftragal R S, is equal to Half the Height of
the Neck, which divide in 3: Give 2 t0 the
Aftragal R, and I to the Fillet S. Note," The

Afiragal in every Order is a Part of the Shaft, not
of the Capital.

PROB. VIII. ‘ To dimintyh theShu/t of the Tufcan,
or any other Column, Fig. 1. Plate II.

(1.) ‘Divide the given Height of the Shaft be~
tween the Cinéture B, and the Al’tragal A, into 3
equal Parts, and draw the Linenxy, through
the firl’t Part, parallel to the Cincture 4, 5 -, make
B 4, B 5, and x n, xy, each equal to Half 21
Diameter, and draw the Lines 4 n, 5y; make
A h, and A e, each equal to i or f ofnx, ac—
cording to what anntity you have a Mind to di-
minifh the Shaft; fome making the Diminution
fior %, as in this Example. (2.) On .x defcribe
the Semicirclen r, I y, and draw the Lines h r,
and e I, from the Points h e, parallel to the cen-
tral Line A B. Divide the Arches n r and I],
each into any Number of like equal Parts, fup-
pofe four, as at o p q, and 2, 3, z, and draw
the Ordinates q 2, p 3, and o z. (3.) Divide A :-.'
into the fame Number of equal Parts, as in n r,
or I y, as at l h d, and draw the Lines, efequal
to q 2 -, g 1' equal to p 3, and h in equal to o z.
(4.) From 72, through the Points kg e, draw the
curved Linen kg eh, and from y, through the
Points m if, the curved Line y m if, which com-
pletes the Diminution of the Shaft as required.

P R O B. IX. To determine the Prejee'tt'om of the
Memhers in the Bufe of the Tufcan Cuban,
Fig. I. Plate I. '

(1.) Divide the Semidiameter in 3 Parts, and
turn I Part out for the Projection of the Plinth,
which, in every Order, flands exaftly over the
Dado of the l’edeftal. (2..) The Pi'oieri‘tion of
the Torus is always the fame as of the l’iiittii.
(3.) Divide the Projetftion of the l’hnth before the
Upright of the Shaft into 4 Parts, and the third
Part into 4, then the firlt I Part terminates the
Projection of the Cinéture B.

P R O B. X. To determine the Prejeftiem of the
Iliemher: in the Tufcan Capital, Fig. ll. Pl. I 1.

Divide the Semidiameter of the Shaft continued
to the Abacus into 2 Parts, as at f, and make
the Projection of the Abacus, equal to I of thofe
l’arts, when the Abacus is tinilhed with a Fillet,
and to g of I Part, when without a Fillet. _ The
I’rojeétion of the Fillet under the Altragal is equal
to twice its own Height, and the Fillet under the
Ovolo, to its Height.

PROB.

I

0f ooo' DORICK ORDER.

P R O B. XI. 7‘ o proportion t/oe Hengt: of tioe prin-
cipal Part: of the Tufcan Entooloture, Fig. “II.
Plate II. . .

Divide A M the given" Height, into 7 equal
Parts; give 2 to the Architrave, 2 to the Freeze,
and 3 to the Cornice.

P R O B. XII. To proportion the Heights of tlae
Wiemlzers of the Tufcan Aro/oz'tro‘ve.

If the Architrave is to confif’t but of I Fafcia,
divide its Height in 7 Parts, and give 1 and § to
the Height of the Tenia I, and the Remainder to
the F afcia K ; but if of two Fafcia’s, give the low-
er 2 to the fmall Fafcia, the next 4 to the great
F afcia, and the upper x to the T enia.

P R o B. XIII. To ‘ proportion t/oe Height: of do
Members of fine T ufcan Cornice.

The Height of the Cornice confil’ting of 3 Parts,
divide the upper I Part in 4, and when this En—
tablature is finifhed with a Cima reéta, give the up—
per I to its Fillet; but when with an Ovolo, give
the lower 1 to its Al’tragal. The middle I Part
of the Cornice being divided in 6 Parts, give the
upper I to the Fillet C, and the other 5 to the Co-
rona D. The lower 1 Part of the Cornice, di-
vided in 2 Parts, give the upper I to the Ovolo
E, and the other 1 to its Caveto G, and Fillet E,
which is i Part thereof.

P R O B. XIV. To determine the Prry'eo‘tures of- tie
fidemoers irz tloe-Tufcan flro/oz'trorvo and Cornice,
Fig. II. Plate ll. ‘

(1.) The Projeétion of the lower Fafcia of the
Architrave, and of the Freeze, in every Order, is
always the fame from the central Line of the Co-
lumn as the Upright of the Column, at its Attra-
gal; and therefore are all direé‘tly over each 0-
ther. It is from the upright Line of the Face of
the Freeze, that the Projeétions of all the Mem—
bers inevery Architrave and Cornice of each Or-
der, is accounted. (2.) The Projeétion of the
Tenia I is equal to its Height, and the upper
Fafcia when the Architrave has two, projeé‘ts g
thereof. (3.) The Projeétion of the Cornice, is
(as ’tis in all the other Orders, the Doric/t only ex-
cepted) equal to its own Height. Draw o o, e-
qual to the whole Projeétion, which divide in 3

is

equal Parts; then -;- the firl’c Part, terminates the

' Fillet F, of the Caveto G. The firfl: Part termi-

nates the Ovolo E, the fecond Part the Corona D,
and the firft fixth Part of the lad Part, the Fillet. C.
And thus this Order is compleated, and which be-
ing practiced about half a dozen Times, will render
the underltanding of this and the folloWing Order,
eafy and delightful.

II. Oft/ae DORICK ORDER.

P R O B. I. To proportion the Heights of time pried-J
pol Ports of the Dorick Order, Fig. I. Pl. III.

P R A c T I c E. Divide oz It a given Height, in-
to 5 Parts, (as before in the thfoom) the lower 1
Part it, is the Height of the Pedel’tal. Divide
a 2' the remaining 4 Parts in 5 Parts, the upper
1 Part a f is the Entablature, and f z', the lower
4 Parts, of the Column. Here you fee that the
Manner of proportioning the principal Parts of
the Tot/con and Doriok Orders, is the fame.

PR OB. II. To proportion ozoo Heights ofooo promo;
pol Parts of the Dorick Pedeflozl, Fig. II. Pl. III.‘

Divide the Height in 4 Parts, give I and 3“ to
the Bafe; ,—; the upper 1 to the Cornice, and the
Remains to the Dado. ‘

P RO B. III. To proportion the Heights of the
Members on the Flirt/o, and of t/oe Corrzz'oe of tbe
Dorick Pedcy’tol, Fig. II. Plate 111.

(1.) Divide o o the Height of the Mouldings
on the Plinth, in '8 Parts, give the lower 1 Part to
the Fillet K, the next 4 to the Cima I, and the upper
3, to an Afiragal H, and Fillet G; or to a Fillet
and Caveto. (2.) Divide the Height of the
Cornice in 2 Parts, i of the upper I, is the
Height of the Regula A, and the Remainder, of
the Fafcia B. The upper Half of the lower I, is
the Height of the Ovolo C, and the lower Half
divided in 3, give the upper 1 to the Fillet D,
and lower 2 to a Cima Inverfa, or Caveto E.

PR 0 B. IV. To determine the Projeftz'om of the
Dodo, Bro/e, mzd Corm'oe of 2/26 Dorick Pedeflol,
Fig. Il. Plate Ill, -

Make or w the Projec ion of the Dado, equal
to pry, which is the i‘lfight of the Plinth divided
‘ in

 

 

"‘4 ,
in 5’Pa'r‘ts, fandi- of"’the upp‘er’Part divided in '3,
“tit'tti‘éd tip. The Projeétion of the Plinth and Cer-
hice before the "Upright of the Dado, is (as be-
{Ore obferv'edin the Tit/Eon Order) always equal to
f't‘he Height of the Mouldings on the Plinth, which
There at in n, being divided in 4 Parts, the Pro-
Kje'é‘tions of the Members in the Cornice and Bafe
are determined, as exhibited by the perpendicular
dotted Lines.

P R O B. V. T o proportion the Heights of the prin-
tipal Part: of the Dorick Column, Fig. I. Pl. III.

,(t.) Divide fi the Height of the Column into
'8 Parts, and take I Part for the Diameter of the
“Column at its Bafe: Therefore note, that the
Height of the Doric/e Column is 8 Diameters.
( 2.) The Height of the Doric/e Bafe and Capital are
each Half a Diameter, as thofe of the Tit/con.

'P R O B. VI. To proportion the Heights of the Bet/é
of the Derick Column.

Divide fh, Fig. II. Plate III. in 3 Parts, the
lower '1 Part is the Height of the Plinth T, and
i of the Middle 1, of the lower 'l‘orus S. Half
the upper I Part, is the Height of the upper To-
rus O, and the Remains between the two Torus’s
being divided in 6 Parts, give the upper and lower,
to the two Fillets P and R, and the Middle 4 t0
‘the‘Scotia Q The Height of the Cin€ttire Nis
half of the Height of the upper Torus.

P R O B. VII. To proportion the Heights of the
Dorick Capitol.

Divide n h the Height of the Capital, Fig. II.
Plate III. into 3 Parts, and .1: the upper 1, into 3 ;
give the upper 1 to the Fillet A, the other 2
to the Cima reverlli B, and the other i Part to
the Abacus C. Divide the Middle Part in 3, give
the upper 2 to the Ovolo D, and the other ~I to
an Aftragal and Fillet, or Fillet and Caveto, or
Cima TCVCl‘ffl, or to three Annulets, at l’leafure.
The Height of the Hypotrachelium G, or Neck
of the Capital, is the lower 1 Part, and the Height
of the Afiragal 7',- thereof, as' before in the Tufenn.
The Shaft of this Column is diminilhed i“ at its
Afiragal in Manner aforefaid.

P R O B. VIII. To determine the Projct't‘ion: of the
Menzher: of the ane of the Dorick Column.

0/ the Do’RIeK ORDER.

(1.) Divide the Semidiameter z‘ 3, in 3‘Parts,

"and turn wit '1 'Part from ito‘k, for the Pro_]e&ion

of the Plinth, before the Upright of the Coldmn.
(2.) Divide the Projeétion k i, in 4 Parts, the firfi
one and a half, terminates the Projeé‘tion of the

Fillet R ; and 2 Parts and half, the Centre of the

upper Torus O, and Cinéture M.

P R O B. IX. To deferihe the Seotin Q at large,
‘ a: at g, ‘Plate III.

Divide its Height in 3 Parts, and fet one Part,
from the fecond Part towards the Right Hand;
then the Points * l" are the Centers on which the
Scotia may be defcribed as required.

PROB. X. To determine the Projettion: of the Alem-
her: of the Dorick Capital, Fig. II. Plate III.

Divide the Semidiameter of the Column at its
Afiragal on its Abacus, into 2 Parts, and turn
out I Part for the Projeétion of the Abacus;
which divide in 4 Parts, and terminate the Projec—
tions of the Members, as exhibited by the dotted
perpendicular Lines. The Pi‘ojeftion of the Afira-
gal H I, is determined the fame, as that of the
‘fufmn Order.

P R O B. XI. To proportion the Heights of the
principal Part: of the Dorick lg'iztzzh/ntztre,
Plate IV.

Divide n I), the given Height into 8 equal
Parts, give 2 to the Arcliitrzzvc M N O I’, 3 to
the Freeze L, and 3 to the Cornice.

P R O B. XII. To proportion the Heights of the
Memhers of the Dorick Architmt'e.

Divide the upper I Part of the Architrave in
3, the upper 1 is the Height of the Tenia M,
and the lower 2 Parts, divided in 3 Parts, the
upper I Part is’ the Height of the Fillet N, and the
next 3 Parts of the Gutta’s or Drops 0:

P R O B. XIII. To proportion the Heights of the
Member: of the Dorick Cornice. ,

Divide the two upper Parts of the Height of
the Cornice into 3 Parts, and the upper i, in 4
Parts; give the upper 1 to the Regula A, and
the other 3 to the Caveto or Cima rec a B. Di-

‘ vide

0f the DORICK ORDER. ;

vide the next Part in 3, give half the upper 1 to
the Fillet C, and the Remains to the Corona D.
Divide the third Part in 3, and the upper 1 thereof,
in 3 ; of which, give the upper I to the Fillet E,
the other 2 to the Cima reverfa F 5 and the Re-
fidue of this Part to G, the Fafcia of the Mutule
E F G. Divide the lower third Part of the Height
of the whole Cornice into 3 Parts, and give the
lower 1 to K, the Capping of the Triglyphs; di-
vide the next 2, each into 3 -, give the lower I to
the Fillet I, and the next 4 to the Ovolo H, or to
the Cvolo, with its Afi'ragal on the Fillet I. The

Height of the Freeze being in 3, divide the up-
. per in 3, and the fecond will terminate the
Heights of the Channels in the Triglyphs ; as half
the middle I, doth that of the Coffer or hollow
Pannel, in the Metope Q

P R O B. XIV. To determine the Prty'et'tnres of the
Member: in the Dorick Entohlature, Plate IV.

, (r.) As the Projeétion of the Cornice is equal
to half the Height of the whole Entablature,
therefore draw a Line from any Part of the Freeze,
as t 4', equal thereto, which divide in 4 Parts, and
the firlt, third and laft, each into 3 Parts, from
whence determine the Projeélion of every Mem-
ber as exprefiEd by the perpendicular dotted Lines
which pafs through them from the Profile to the
Plan.

PROB. XV. To proportion a Triglyph, and
M’tope.

The Breadth of each Triglyph is always equal
to half the Diameter of the Column at its Bafe; and
the Metope or Difiance between them, {hould al—
ways be equal to the Height of the Freeze. The
Breadth of each Triglyph being divided into 12
Parts, and Lines drawn, as the dotted Lines 1, 2,
3, {9%. will form the Limits of the Channellings,
and fix Gutta’s, or Drops, under them. As by
the Mutule S, ’tis evident, that the Projeétion
is very confiderable, I have therefore added the
Plan of the Planceer of the Cornice, wherein VVV
reprefents the under Surface of the Maitules, as
they are generaly enriched with their 36 Drops,
commonly called Bells, and XX are hollow Pan-
nels, or Golfers, enriched with Rofes. By the
perpendicular dotted Lines, ’tis evident, that the
Dil’tances of the Members in the Plan, are equal
to their refpeétive Projeétions in the Profile.

~~ warm-um; -; ~ '- '«V-un.

Hg. W exhibits two Methods for fluting the
Shafts of. Doric/t Columns; that on the Right
hand has no Fillets, as was anciently praéticeti,
and which contain 20 in Number; the Flutings
on the Left, are after the modern Manner, and
contain 24 in Number.

PR 0 B. XVI. To divide the Flute: of the Dorick
Shaft, after the nnoient Manner.

Divide the Circumference of the Column into

20 equal Parts, and draw the Chord Line of each ,

Part, on every of which, complete an equilateral
Triangle; then on the Out-Angle of ever Tri~
angle, with the Radius of one Side, defcrr'ce the
Curve of each Flute.

P R O B. XVII. To divide the Flute: and Ellets of
the Dorick Shaft, after the modern Manner.

(1.) Divide the Circumference of the Column
into 20, but by fome ’tis divided into 24 Parts.
(2.) Divide any one Part into 6 Parts, and with a
Radius ofg of thofe Parts, on every of the 20,
or 24 Points defcribe the Flutes, which will leave
between them the Fillets required.

III. Ofthe IONICK ORDER.

P R O B. I. To proportion the Heights of the prints?
pol Ports of the lonick Order, Fig. I. Plate V.

PRACTICE. (L) Divide a l, a given Height,

into 5 Parts, and give the lower 1 to the Pedeital, ‘

as in the preceding Orders. (2.) Divide a g the
Remainder, into 6 Parts, the upper I Part a d is
the Height of the Entablature, and dg the lower
5 Parts, of the Column.

P R O B. II. T o proportion the Heights of the prin-

cipal Port: of the Ionick Prado/fol, Fig. I l. Pl. V. .

Divide the given Height in 4. equal Parts, give
the lower 1 to the Plinth N 3 one third of the next
to the Mouldings on the Plinth, including the
I-lollow on the Afiragal, when ufed inflead of
a Caveto, (as is fometimes done) 5 half the upper

1 to the Cornice y o, and the Remains to the
Dado a h. ‘

C PROB.

 

 

6 . 5 Of the IONICK ORDER.

P R O B. I II. <To proportion the Heights of the
.Memherr on the Plinth ; and of the Cornice of the
Ionick Pedeflezl, Fig. II. Plate V.

(1.) Divide the Height of the Mouldings on
the Bale into 8 Parts; give the lower 1 to the Fillet
M, the next 4 to the Cima re&a L -, the next I and
a half to the .Af’cragal K; half the next 1 to the
Fiilet I -, and the remaining 1 and a halfto a Cave-
to, or Hollow as H. (2.) Dividey n, the Height
of the Cornice, into 3 Parts, and each Part into 4
Parts, then the Whole is in 12 Parts; give the
upper I to the Regula A ; the next 9. to the Ca-
Veto, or Cima reverfa B; the next 3 Parts to the
Fafeia or Platband C; the next 3 to the Cima
Ireé‘ta D, (which is often made an Ovolo-,) the
next 1 to the Afiragal E, and the remaining 2 to
a Caveto, or Cima reverfa, as F. '

P R 'O B. IV. To determine the Projeflions of the

Dodo, Bet/e and Cornice of the Ionick Pede/lol,
' Fig. II. Plate V.

(1.) Divide the Height of the Plinth into three
Parts, the upper 1 into 9, and the upper 1 of the
9 into 3 ;’ from the firft of which draw the Line
f c, cutting the central Line in e; make or d
the Projeétion of the Dado, equal to eiz. (2.)
Make g f equal to one third of the‘Plinth’s Height,
for the Projeftion of the Plinth and Cornice before
the Dado. (3.) In any Place againi’t the Dado,
as at 5, draw the Line r 5, equal to f g; which
divide in 4 Parts -, fubdivide them again as by In-
fpeflion is fhewn, and terminate every Member as

exprefi'ed by the perpendicular dotted Lines pro.
ceeding from thence.

P R O B. V. ‘fo proportion the Height: of the prin-
cipal Port: of the Ionick Column.

Divide d g, Fig. I. Plate V. into 9 Parts, and
take I Part for the Diameter of the Column at its
Bale. The Height of the Bare. is half a Diameter,

as alfo is the Height of the Capital, including the
Height of its Volute.

,P R O B. VI. To proportion the Heights of the
Memher: of the Bet/e of the Ionick Column.

. Divide op, the given Height, (Fig. II. Pl. V.)
m3 Parts, the lower 1, is the Height of the

. “Qatar a...“ _,- ..

Plinth 3. Divide the upper 2 Parts in 9, the
firi’t 3 Parts is the Height of the lower Torus R ;
tWO thirds of the next Part, of the Fillet Q;
the uppermoi’t two and half, of the upper Torus
N; which is made with a Bead under it, the half
Part is given to the Bead, and but 2 to the To-
rus. The remaining half Part is given to the Fillet
O. The Height of the Aflragal with its Fillet,
when ufed on the upper Torus, is equal to half
the Height of the upper Torus, but when a Cinc—
ture only is placed there, its Height is two fifths
of the upper Torus. '

P R O B. VII. To proportion the Heights of the
Memhers of the Ionick Capitol, Fig. II. Plate V.

(1.) Divide "a v, the’given Height, into three
Parts, and half the upper I into 4 Parts, then the
upper 3 Parts is the Height of the Ovolo A, of
the Abacus; and the lower I Of the Fillet B.
(2.) Divide w to, equal to g of o v, in 8 Parts;
give the upper 1 and a half to the Caveto C ', the
next half to the Fillet D; the next 2 to the'Ovo-
10 E -, the next I to the Attragal F, and the next
half to its Fillet G; then the remaining two
halfs will be the Depth that the Volutes will de-
fcend. The Shaft of this Column is diminilhed

at its Af’tragal, one fixth of its Diameter at the
Bafe.

P R O B. VIII. To determine the Prejet‘inres of the
Memhers of the Bafe of the Ionick Capital, Fig. II.
Plate V.

(1.) Divide the Semidiameter I y in Parts,
and turn out 1 Part, for the Projection of the
Plinth S, and Torus R. (2.) Divide the Projec—
tion of the Plinth before the Upright of the Co—
lumn into three Parts, the firf’t 1 terminates the Cen-
tre of the lower Torus, and the fecond of the
Cinéture L, divide the middle Part in 4, half the
firfi 1 terminates the Fillet Q and half the lalt,
the Fillet O. The Scotia P is deferibed at large,
as in Pig. III. '

P R OB: IX. To determine the Projet‘ittres of the
Aiemher: of the Ionick Capital, Fig. [1. Pl. VI.

Place the Diameter of the Column at its Bare
divided into 60 Minutes, as is done between
I“ and E, and continue it [5 Minutes both ways
to Y and Z.. This done, fet 45 Minutes on

' each

aft/3e IONICKr‘ORDER: 7

each Side the central Line which terminates the O:
volo A, in Plate V. All?) fet 40 Minutes on each
Side for the Projeétion of the Fillet B; 38 for the
Projeé‘tibn of the Caveto C, and 35 fat the Ovolo
E.- T he Projection. of the Fillet G, ‘is its own
Height and two thirds thereof, over which the A-
{lragal projects half its own 'I-Ieight. The next
'l‘hing in order to complete this Capital, is to de-
fcribe its Volutes as following.

PROB. X. To ‘a’q/crz'ée t/Je IOnick Volute,
Plate VII. '

i (1.) Divide a X, “a given Height of a Capital,
into 3 Parts, and the upper 1 Part in 2 Parts at c,
and proceed to complete all the Members as
taught in the laf’t Problem. (2.) On p the Cen-
ter of the Aftragal defcribe the Circle r a x q for
the Eye of the Volute, through whofe Center 1),
draw the, perpendicular Line 72 a p q 4, alfo the
horizontal Line r p s, at right Angles thereto;
and complete the Geometrical Squares roxg;
whole Sides divide each into two equal Parts at
the Points 2, I, 3, 4, and draw the Diameters 2, 4;
and I, 3. (3.) Divide each Semidiameter into 3
equal Parts, at the Points 6, IO ; 5, 9-, 11, 7-,
and 12, 8; then thePointsr 23456789 10
11 12, are 12 Centers on which the Out-line of
the Volute is defcribed; for the Point 1 is the
Center of the Arch n h ; the Point 2, of the Arch
5 e ; the Point 3, of the Arch eg -, the Point 4 of
the Archér In; the Point 5, of the Arch l9 k, Sec.
(3.) Divide W. Z in 4 Parts; the upper I equal
to n a, is the Breadth of the Lil’t; which divide in
12 Parts, of which make I} 6 equal to II; 6 :1
equal to 10', g f equal to 9-, 19 2' equal to 8; kl
equal to 7, C936. fiill diminilhing I at every (liar-
ter. This done divide the Dif’tance between every
two Centers, as between 2 and 6; I and 5, 6:36.
into 5 Parts, and the 12 outermoi‘t ones will be the
I2 Centers, on which the inward Line of the Lift
may be defcribed, which from the Point 4 will
pafs through the Points cdfz' 1, See. and com-
plete the Volute as required.

To make the Ionic/c Volute well undcri’tood, I
have given the Plan of a (luarter Part of its Capim
tal, Fig. III. Plate VIII. wherein obferve; that
as the Volutes are placed anglewife, or rather dia-
gonally; therefore when we f’tand direétly before
a Column, though they are really circular, as in
, Plaze VII. yet they will appear elliptical , as hav-

ing their Breadths forefhorten’d by being than in an
oblique View ; and therefore when we make a.
Drawing of this Capital, the Volutes muf’c bemade
elliptical, as in Fig. II.- .Plate VIII.

P R O‘ B. XI. To divide tlye Flute: and Fillet: of a.
round or fqmzre Ionick Columfl, Fig. III. Plate
V I I I. ‘ ‘

Firl’t, Of a round (3012mm, as the (luart’er Part
M K I ; divide the Circumference of the Pillar into
24 equal Parts, and each Part into 8 Parts; with
the Radius of 3 of thofe 8 Parts, on every of the
24 Parts, deferibe the Flutes, as before done in
the Doric/c Order. ' ’

Secondly, Of a fquare Column, as‘the Quarter
Part K A L; divide each Semidiameter, or each
Side of the Column, into 31 Parts, give 6 to each
Flute, 2 to each Fillet and Bead at the Angles,
when the Semidiameters are divided into gt Parts ;
and 3 to each Flute, and I to each Fillet, and Bead,
at the Angles, when a Side of the Column is di—
vided into the fame Number of Parts. On the
Right Hand, at the lower Angle of Plate VIII.
I have defcribed the Bead A at large, by which
the young Student may fee that ’tis no more,
than three fourths of a Circle inferibed in a geome-
trical Square.

As the Ovold of this Capital is generally enrich-
ed with Eggs and Darts, commonly called Anchors,
I {hall therefore Ihew at large, the manner of de-
fcribing them.

P R O B. XII. ‘I’o aft/[ride Egg: and Dam for [be
Emir/9mm! of 2m O‘L‘olo, Fig. ,1 . Plate VIII.

F irt’t, To propartz'on their Dzfi'cmm. ‘

Divide the Height into 9 Parts, and at the Di-
fiance of 7 of thofe Parts, draw the central Lines
of the Eggs and Darts.

Secondly, 7'0 4’ tribe an Egg, as Fig. B.

The Heighti'of e central Line being divided
in 9 Parts, with a, Radius equal to 3 Parts, on the
Point 6, the third Part from the Top, defcribe
a Semicircle. On the Point 3, the third Point
from the Bottom, with a Radius of 2 Parts, de-‘
fcribe an entire Circle. Draw down the Lines
4. a, 4 a, each equal to 3 Parts, and through the
Point 3, draw the Lines (1 b and a c. On the
Points 0 a, with the Radius 0 [7, delbribe the Side
Curves, which will complete the Egg, as requi-
red.

Thirdly,

h...“ _..... “an”; _

8- ‘Of the IONICK ORDER.

Thirdly, T o deflrihe the inward Curve of the
Hush, ‘Fig. C.

Draw the Lines 4. a, 4 a, as before, but make
éach equal to 2 Parts. Through the Point d,
which is the Midi’t between the Points 3 and 4,
draw the Lines ah and noof Length at Plea-
fure. On d with the Radius of 3 Parts defcribe
the Arch he, and on the Points on, with the
Radius a h, defcribe the Arches h n 4. and c n 4,
which compleats the inward Line as required.

Fourthly, To defcrihe the Outward Line of the
Hush, Fig D.

. Draw 3 a, 3 a, each 1 Part in Length, and
through the Point h, which is the Midl‘t between
the Points 4and 5, draw the Lines oz h r, and
a h d, of Length at Pleafure. On the.Point h
witha Radius equal to 4 Parts and an half de-
fcribe theArch c d. , On the Points a a, with the
Radius a c, defcribe the upper Side Curves, which
completes the Out-curve as required.

Fifthly, To defcrihe a Dart.

Divide one Part on each Side its central Line in
2 Parts, and from the angular Point of the Dart,
draw the interior Lines; fet 2 Parts up from the
angular Point, and from that Point, draw Lines
$614. Parts Dii’tance on the Top Line; alfo from
the angular Point draw Lines up to 7 Parts on
each Side its central Line. Then draw Lines
from the angular Point to 1 Part on each Side its
central Line, will complete a Dart as required.
Fig. A reprelEnts the Lines of all thefe laft Pour
Operations, compriz’d in one.

P RO B. XIII. To proportion the Heights of the
prinripol Part: of the Ionick Entoht’atnre, Plate
VI.

Divide the Height :2 6 into 10 Parts, give 3 to
the Architravc, 3 to the Freeze, and 4 to the
Cornice.

P RO B. XIV. To proportio? the Heights of the
Memher: of the Ionick flrchitrow, Plate VI.

Divide d f the Height, in 4 Parts; the firi’t
One is the Height of the lower Fafcia R, and one
third of the next Part of the Cima Reverfa Q;
divide the upper Part in 3, give the upper third
Part to the Tenia N, and the other 2 Parts to the
Cima reverfa, or Caveto O. The remaining one
Part and two thirds is the Height of the upper
Fafcia P.

P R o B. xv. To proportion the Heights of the
Menthers in the IOnick Cornice, Plate VI. '

(1.) The Height being in 4 Parts, divide the
upper 1 in 4, and when the Cima reéIa B, has no
Afiragal under it, give the upper I to the Re-
gula A, and 2 and two thirds to the Cima; but
if an Ai’tragal be introduced under the Cima, then
give half the upper 1 to the Regula A -, the next
2 and an half to the Cima reéta B, and remaining
two thirds of I to the Aflragal on the Fillet C.
(2.) Divide the fecond 1 Part in4; give the up-
per I to the Cima reverfa D, and the lower 3 to
the Corona E. (3.) Divide the third I, from
the Top in 4, and the upper 1 thereof in 4; of
which give the-upper I to the Fillet .F, and the
other to the Cima reverfa G. The Depth of
the Face of the Modillion is two Parts and an halt”.
(4.) Divide the lower fourth Part in 2 Parts, and
give the upper I to the Ovolo l : And the lower I
divided in 5, give the upper l to the Fillet K, and.
the other 4 to a Caveto or Cima reverfa, L.

P R O B. XVI. 7' o determine the Projefiion: of the
Member: of the Ionick zirchitrnt'e and Freeze.

(1.) The Projection of the Tenia is equal to
one fourth of the Height of the whole Archi—
trave; and the great Fafcia P, to one third there-
of. (2.) The Projection of the Fieeze is equal to
that of the Architrave.

P R O B. XVII. To determine the Prcjm‘iion: of the
(Members of the lonick Cornice.

The Projeétion of the whole Cornice is always
equal to its whole Height, and its particular Mem-
bers have their Projections determined as follows,
t'iz. draw a Line as w x, equal to the Projection
of the whole Cornice, which divide in 4 Parts;
fubdivide them again, and terminate each Meni-
bet as exhibited by the dotted perpendicular Lines,
which pafs through the Divihons from the Profile
to the Pian, or Planceer of the Cornice.

P R O B. XVlIl. To definite the under Curvature
of an Ionick Modi/Iion at large, Pig. V. Plate
XII.

The Projeétion being found, as in the lai‘t Pro-

blem, which {uppofe to be r n, are: 6 5 divideit
In

0f the CORINTHIAN ORDER.

in 6 Parts. On the Point w, ereét the Perpen-
dicular we, equal to 1 Part, and on the Point
2, defcribe the Arch I '0; on the Point 5, ereét
the Perpendicular 5 5, equal to 2 Parts and an
half; make 72 2 equal to 5 .r, and draw the
Line 5 z. On the Points 5 and z, with the Di-
flance 5 5, defcribe the compound Curve 7) 5,
which completes the Curve of its Planceer. The
Breadth of the Face of a Modillion,. is 10 Mi-
nutes, or one fixth Part of the Diameter of the
Column at its Bafe. The Interval or Dii’tance
between them in a Cornice over Columns, is 25
Minutes, or g of a Semidiameter: But in 3. Cor—
nice over Pilafiers, which are not diminifhed, the
Interval muff be go Minutes or a Semidiame-
ter, precifely. In the Plan of the Cornice
Plate Vl. S S, 69%. reprefents the Planceers of
the Modillions; and T T, {996. the Cofi‘ers or
hollow Pannels enriched with Rofes. in the In-
tervals.

IV. Of the CORINTHIAN ORDER.

P R O B. I. To proportion the Heights of the prin-
cipal Part: of the Corinthian Order. Fig. I.
Plate IX.

PRAC'TIC E. (1.) Divide. the given Height as
eh in 5 Parts; and give the lower 1 Part 2' h,‘
to the Height of the Pedeital. (2.) Divide ti,
the remaining 4 Parts, in 6 Parts; the upper_1
c a’, is the Height of the Entablatuiie, and f i the
lower 5, of the Column.

P R OB. ll. ‘70 proportion the Height: of the
principal Part: of the Corinthian Pedtflal. Fi—
gure II. Plate IX.

Divide 0 t the given Height in 4 Parts; give
the lower 1 to the Height of the Plinth ; one third
of the next Part. to the Height of the Members on
the Plinth; and half the upper 1., to the Height
of the Cornice. ‘

P R OB. Ill. To proportion the Height of the
Memberi m the i’z’inth, and of the, Ccriiiee of
the Corinthian. Peak/tat. Fig. ll. Plate IX.

(1.) Divide r 5 the li’eight in two, Parts, and
the two upper halves of each in gl’aris; give
the lower half of the PM“; 1, Part to, the Height

9

of the Torus O, and one third of the next half
to the Fillet N ; give the upper two thirds of the
upper half, of the upper Part, to the Caveto K,
and the other third Part, being divided in three
Parts, give I to the Fillet, and 2: to the Afira—
gal L. (2.) Divide de the Height of the Cor-
nice in 3 Parts, and the upper 1 in 6 Parts; of
which, give the upper 1 and one third, to the
Height of the Regula A; the next two Parts
and two thirds to the Height of the Cima re~.
verfa B, and the next 1 Part to the Height of
the Afiragal C; divide the Middle Part in 2,
and give the upper I to the Height of the Fafcia;
orPlatbandD; and the lower I thereof divided
in 3, giVe the upper I to the Fillet E. Di-
vide the lower I Part into 2 Parts, and the lower-
I Part thereof in 3 Parts; of which give the up.
pet I, to the Height of the Aftragal G -, half the-
next Part, to its. Fillet; and the Remainder to. the.
Caveto H.

P R O B. IV. To determine the Prajefliwzr of the
Dado, Bafi mid Cerm'te (f the Corinthian Pe—
deflnl, Fig. II. Plate IX.

(L) Divide 5 t the Height of the Plinth in'
nine Parts, and make [2' zz the Projeé‘tidn of
the Dado, equal to eight Parts. (2.) Makey w-
the Projecftion of the Plinth, and of the Cornice,
equal to xy the Height of the Members on the
Plinth-3 and at any Place againlt the Dado, as.
at q, draw the Lines p 9, equal to w 3;; which.
divide in .4, Parts, and fubdivide them again, in;
thirds, as exhibited; From whence determine the
Projet‘lions of the Members on the Plinth, and
ol~ the Cornice, as by Inlpeéiion is fliewn, by the-
perpendicular dotted Lines proceeding from.
thence. V

P R O B. V. ,
.prilzriptzl Parts of the Corinthian Column.
gure 1. Plate IX.

To ”proportion the Heights of the:
Fl.-

Dividc d z" the given Height, into 10 Parts,
and take it for the Diameten of the Column at
its Baie. 'l he Height of the Bare hi, is half :1
Diameter; and of the Capital. dif, one Diameter:
and one fixtll. .

D; Bit 0 B1.

Mus—uug

ml ' 0f the C'O'RINTHIAN ORDER. ‘

P R O B. VI. . To proportiontlye Heigbt: of the
fifember: of the Bofe of the Corinthian Column,
Fig. II. Plate IX. .

(1.) Divide m n the given Height in three
Parts, the lower. I is the Height of the Plinth.
(2.) Divide the Middle 1 in 5 Parts, and the
fourth Part thereof, in 3 Parts; give the upper I
Part thereof, to the Height of the Fillet F, the
other two Parts, to the Al’tragal G; and the Re-
mains of the Middle Part, to the Height of the
Iower‘Torus, -H (3.) Divide the upper r Part
in 5; and the fecond and third Parts thereof,
each in 3 Parts; give the upper third Part,,of
the fecond‘fifth Part, to the Fillet under the A—
fl'ragal D; the next two Parts to the Afiragal D,
and the Remains upward, to the Torus C. The
Height of the ‘Afiragal B and Cinéture A, is e-
qual to half the Height of the upper Torus, which
divide in 3, and give 1 to the Cinéture and 2 to
the Al’tragal. The Scotia E. is defcribed at large,
Fig. III. as follows. Divide the Height n f in
7 Parts, through the third Part, draw d o; make
7 5', equal to fg, and o e equal to 12g; and
from c, to the Point 7, draw the Line e 7 e. On
the Point 7, defcribe the Arch (2 do; and on the
Point e, the Arch eg, which completes the Scotia.

Note, The Scotia of the Ionic/e Bafe, is belt de-
fcribed by this Method.

P R O B. VII. To determine the Projettz'on: of tbe

Memoers of tbe Bofe of the Corinthian Column,
Fig. II. Plate IX.

(1.) Divide the Semidiameter in 3 Parts, and
turn out 1 Part, for the Projeétion of the Plinth
and lower Torus. (2.) Divide the Projeftion of
the Plinth before the Upright of the Shaft, into
5 Parts; then one Part and an half terminates
the Projeétion of the Aliragal G, and e of the
next i of the Fillet I“. The 3d Part terminates
the Fillet under the Afiragal D, and Aliz'agal B -,
and 3 Parts and an half, terminates the Cind’ture A.

P R O B. VIII. To proportion the Heights of the
Members of the Corinthian Capital, I’late X.

Divide a la, the given Height, into 7 Parts;
or 70 Minutes, (each i’art being liippofed to be di—
vided in 10 Parts, which are Minutes.) Then,
to the Height of the iirlt Range of Leaves, give
20 Minutes; to the fecond, 4o l‘v'l‘inutes; to

_ the third, ‘50 Minutes; add up to the Abacus

60 Minutes. Divide the Height of. the Abacus
in 2 Parts; give the lower 1, to the Caveto g,
one fixth of the upper half to the Fillet e -, arid the
Remains is the Height of the Ovolo d. The
Height of the Afiragal b k, is 5 Minutes, which
divide in 3, give 1 to the Fillet b, ande to the
Afiragal a.

P R O B. IX. To determine the Projeflz'on: of the
Minter: of the Corinthian Capital, Plate X.

The better to explain this Capital, I have gi-
ven a uarter Part of its Plan, in two different
Manners, as I have already done of the Ionic]:
Capital, viz. the one, of the fourth Part of a
round Column; the other, of the like Part of a
fquare Column; by which the hIanner and
Reafons of determining the Projections of the
Members in the Profile, may the better be un-
derflood. To effect which, draw the Diameter
of the Column at its Bafe, equally on each Side the
central Line of the Capital; divide it in 60 Mi-
nutes, and continue out the fame, 15 Minutes
on each Side, as before done in the [onion Order.
As the Shaft of this Column is diminilhed one
fixth ofits Diameter at its Bafe, therefore from the
fifth, and fifty-fifth Minutes in the Diameter, draw
the Out—lines of the upper Part of the Shaft next
the [\fii'agal, and complete the I’rojef'tion of the
Allragal, which is 5 Minutes, and its Fillet
two thirds thereof. On any Part of the central
Line as at A, with a Radius equal to 25 Mi-
nutes, defcribe a (luadrant, which divide in 4.
equal Parts, and from the three inward Divi—
fions, draw Lines parallel to the central Line,
as thofe dotted Lines on the Left Hand Side,
which are the central Lines of the Leaves. Now
the Diliances and Heights of the Leaves being
thus determined; proceed next to determine the
Projection of the Abacus, as follows, viz. Make
the Projection of its Ovolo d, equal to 45 Minutes,
its l‘illet e, 42 Minutes and an half, and its Ca-
vetof, 40 Minutes. Lal’tly, I’rom the ‘extream
of the Abacus, to n the EXtream of the Allragal
draw a Line; as that dotted, which terminates,
the Projection of the Leaves, in the Middle
Range; and make the Projections of every 0-
ther particular I’art, as exprell'ed by the dotted
Parallels, proceeding from bOth I’rotlies, through
the Scale of Minutes to the two I’ians; which
being very, plain to lnfpection need no fur-
ther Explanation. The Number of Flutes and

Fillets

0/ in CORINTHIAN ORDER.

Fillets in the Shaft of this Column, are the fame as
thofe in the Ionic/e. '

P R O B. X. To proportion the Heights of the
' principal Parts of the Corinthian Entahloture,
Plate XI. '

Divide the Height o h, into IO Parts, give 3 to
the Architrave; 3 to the Freeze; and 4 to the
Cornice.

P R O B. XI. To proportion the Heights of the
Member: of the Corinthian Afrehz'traroe, Pl. XI.

Divide e f the given Height in 5 Parts, and
the lower 1 in 4; of which give the lower 3 to
the firl‘t‘Fafcia, and the upper one, to its Bead.
The fe’cond Part of the Architrave’s Height, is
the Height of the fecond Fafcia, and one fourth
of the third Part,“ is the Height of its Cima.
The remaining three fourths of the third Part,
and three fourths of the fourth Part, is the Height-
of the upper Fafcia; and the next one fourth
Part of its Bead. The fifth or upper Part being
divided in 4 Parts, and the third Part upwards
thereof divided in 3, give the upper 4th Part, and
one third of the next, to the Height of the Tenia -,
and the remaining two thirds and 2 Parts, to the
Height of the Cima reverfa.

P R O B. XII. To proportion the Heights of the
Memhers of the Corinthian Cornice, Plate XI.

(1.) Divide e d the given Height in 5 Parts,
and the, upper I Part in 4, of which give the
upper I to the Regula; one third of the lower I
to the Fillet under the Cima refta; and the Re-
mains, to the Cima reé‘ta. (2.) Divide the 4th
Part in 4; give the upper 1 to the Cima rever-
fa; and the lower 3 to the Corona. (3.) Di-
vide the third Part in. 4, and its upper I in 4;
of which give the upper 1 to the Fillet, and the
lower 3, to the Cima reverfa, which make the
Capping of the Modillions, whofe Depth termi-
nates at half the firfl: Part. (4.) Divide the fe-
cond Part in 3, and the Middle I thereof in 3;
of which give the firlt Part to the Fillet over the
Dentules, and the remaining Part upwards to the
()volo, under the Modillions. (5.) Give half
the lower 1 in the fecond Part, to the Height of
the Fillet, on which the Dentules are placed:
Lafily, The firfl: Part divided in 3, the upper 1

II

terminates the Depth of the Dentules; the next
one third, of the Middle third Part, the Depth
of the Denticule; and the remaining 1 Part/and
two thirds is the Height of the Cima reverfa, of
the Bed Mould. l

P R o B. XIII. To determine the Prey'ettz'ons of *
the Memhers in the Corinthian flrehz'trnve, Plate
XI. ' '

The Projection of the Tenia, is equal to r fifth
and one fourth of a fifthrof the ,Architrave’s
whole Height. The Projeétion of the 'I‘enia,
divided in 5, the Brit 2, terminates the-Pro-
jeétion of the upper Fafcia; and three fourths of
the firl’t Part terminates the Projeétion of the fe-
cond Fafcia. - "

P R O B. XIV. To determine the Projettions of the
Memher: in the Corinthian Cornice, Plate XI.

- The I’rojeétion of the entire Cornice, is equal
to the whole Height, as eXpreITed by the Arch
gk. At any Place againl‘t the Freeze, as at I,
draw a\right Line, as l m, equal to i It, the
whole Projeétion. Divide l m in 4 Parts, fubdi—
vide them again, and terminate each Member,
as exhibited by the dotted perpendicular Lines
which pafs through the Divifions from the Pros
file to the Plan, or Planceer of the Cornice.

PR 0 B. XV. To de/‘erihe the Corinthian Moth}
[ion at large, Fig. I. Plate XII.

The Breadth of a Modillion is equal to one
fixth of the Diameter, or 10 Minutes, and the
Interval or Diltance between .them in a Cornice
over Columns is 25 Minutes; but in aCornice
over Pilalters, undiminifhed, the Interval is 30
Minutes: And therefore the Diitance between the
central Lines of Modillions in the firf‘r, mul’c be
35 Minutes, and 40 Minutes in the laft.

As the. Breadth of a Modillion in Front, as
Fig. A. Plate XII; is thus determined; and' as
the Height and Projecture of its Profile, is de-
termined in the lai’t Problem, it therefore now
only remains to lhew, How to proportion the
Parts into which they are divided, as follows:

I. To proportion the Ports in the Front of 4 Co.‘
rinthian Modillion, Fig. A. . 3
Divide the Breadth of the Front in 8 Parts,

and

, AMLI-..‘ s... H

12 ' 0f the CORINTHIAN "ORDER.

and give the outer 1 Part, to the Fillets as
C B, {9°C. Divide the lafi: half of the fourth
Part, and firft half of the fifth Part, each into
4 Parts; give the two outer I Parts thereof to
the Fillets, and the Middle 6 Parts, to the Aftra-
gal A.

II. To proportion the Part: in the Profile of the
Corinthian Modillion, Fig. I. Plate XII.

Divide its Height in 8 Parts, and fet feven of
thofe Parts from 7 to p. From the third Part
from p, draw the perpendicular Line ce, which
interfeétby a horizontal Line, drawn from 4 Parts
and an half, reckon’d upwards in the Height of
the Modillion; and the Point of Interfeétion is the
Center of the Eye of the Volute, whofe Diame-
ter is equal to 1 Part. Within the Circle of the
Eye, infcribe a geometrical Square as in Fig. II.
and therein; infcribe another, as 4, 3, I, 2,
whofe Diagonal divide in 4 Parts at the Points
8, 7, 5, ,6. Then the Points 1, 2, 3, 4, 5, 6, 7,
8, are the Centers on which the large Volute is
defcribed. The Height k z' of the fmall Volute
a, is equal to half the Height of the Modillion,
which divide in 8 Parts; and then fetting 7 of
thofe Parts from It to I, proceed in every Refpeét
to defcribe that Volute, as you did the other.

To join thefe Volutes, draw the Line a e; bi—
feé‘t it in h; and again at hand d; on which
Po‘nts ereft the Perpendiculars, h f and d e cut—
ting the Perpendiculars e f and c e in the Points
f and e, which are the Centers, on which the
Curve (2 h c is defcribed. In the fame Manner
the Under-curve is defcribed, whole Center is
the Point g.

Fig. Ill. reprefents the Planceer of the Mo-
dillion, whofe Breadth is equal to that, in Front,
Fig. A, and Length to the Profile, Fig.1.

Divide the Side 6 5, Fig. III. in 5 Parts;
then 1 Part, is the Breadth of the Margin, about
the Coffer Fig. 1V ,/ and‘half of I Part, equal to
ih, Fig. IV. is the Projee‘tion of the Ovolo with
its Fillet, that encompalfes the Coder. Make 1 m
equal to l 2', and draw 11: 77, which determines
the Diameter of the central Enrichment; which
may Le, any Kind of circular Flower at Plea:
lute.

.I’ R O B. XVI. ‘To defm'he the Deutule: at large,

a: in the lower left Angle of Plate XI.

Divide the I_'eight of the Denticule (which is

\

“as. ._...¥,, ,_.

the Surface againft which the Dentules are, fix’d,
when made in Wood) in 8 Parts, and give .1 to
the Fillet, and 6 to the Depth of the Dent'ules;
which hit divide in 3 Parts; and give 2 to the
Breadth of a Dentule, and I to the Breadth of
an Interval. The Depth of the Fillet, or Eye-
Dentule between, is one fourth of ‘the Depth of
a Dentule.

By the feveral dotted parallel Lines, proceeding
from the Profile to the Plan, the Conf’trué‘tion
of the Plan is plain; and what has been faid be-
fore, concerning the Planceer of the Modillion, and
Coffer in Plate XII, is herein further exemplified, by
the feveral Planceers, and Cofifers between them -,
of the Modillions and their Intervals in the Profile
above.

V. Ofthe COMPOSITE ORDER.

P R O B. I. To proportion the Height: of the prin-
cipal Parts of the Compofite Order, Fig. I.
Plate XIII.

(1.) Divide ll m, the given Height, in five
Parts, and give the lower 1, hm, to the Height
of the Pedefial.

(2.) Divide h h, the remaining 4 Parts, into
5 Parts; give h e, the upper I, to the Height
of the Entablature; and e h, the lower 4,, to the
Height of the Column.

P R O E. II. To proportion the Height: of the prin—
cipal Part; of the Compolite Pedcjial, Fig, II.
Plate XIII.

Divide the given Height r 9 into. 4 Parts; give

the lower I, to the Height ofthe Plinth; one third

of the lbcond, to the Height of the Mouldings on
the Plinth -, and half the upper I, to the Height of
the Cornice.

P R O B. III. To proportion the Height; of the
lumber; on the Plinth, and of the Corn/re, of the
Compofite I’ezlcflzzl, Mg. II. Plate XIII.

(1.) Divide e f, the Height of. the Mould.-
ings on the Bafe, into 4, Parts: Give the low-
er I to the Torus N, and one third of the next,
to the Fillet M ;. divide the upper I in 3 ; give
the upper 2 thereof, to the C;.vet0 I; and the
Other 1,. tothe Fillet K. The remaining one

fourth

0f the COMPOSITE ORDER.

fourth Part and two thirds is the Height of the in-
verted Cima reétaL.

( 2.) Divide c d the Height of _the Cornice in
6 Parts; give the lower I divided in 3, to the
Caveto G and Fillet F; give the 2 next Parts to
the Cima reéta E and Fillet D, making the Fillet
one fixth Of the Whole; give the fourth Part
and haif the fifth Part, to the'Fafcia, or Platband
C; and the remaining I Part and half, to the
C ima reverfa B, and its Fillet A, making the F il-
let one third of the Whole.

P R O B. IV. To determine the Projettion: of the
Dado, Bafie, and Cornice of the Compofite Pedty’t‘nl,
Fig. II. Plate XIII.

The Proieétions of this Dado, Bale, and Cornice,
are found in the fame Manner as thofe of the Co-
rinthian Pedef‘tal, in Prob. IV. of the Corinthian
Order.

I” R O B. V. To proportion the Heights of the prin-
eipal Parts of the Compofite Column. -

The Proportions of thefe Parts are the very
fame as thofe of the Corinthian Column, in Pro-
lem V. of the Corinthian Order.

P R OB. VI. To proportion the Heights of the
Jl/Iemhers of the Bafe of the'Compolite Column,
Fig. 11. Plate XIII.

(L) Divide n p the» given Height in 3 Parts;

the lower 1 is the Height of the Plinth I. _

(2.) Divide the fecond Part in 5 -, give the firft
3, to the Torus H ;. the next I, to the Afiragal
G -, and half the next to its Fillet F.

(3.) Divide the upper Part in 5-, give the up-
per 2 and an half to the Torus C, and the next
half to the Fillet D, and the Remains is the
Scotia E. The Height Of the Afiragal B, and
Cin€ture A, is I Part and an half, turned up, as
fignified by the dotted Semicircle, divided in 3,
of which, the .Afiragal is 2, and the Cinc-
ture I. ’

P R O B. V“. To determine the Projefiiont of the

Menzherr of the Bofe of the Compofite Column,

Fig. II. Plate X111.

(1.) Divide h c, the Semidiameter of the Co-

mm, in 3 Parts, and give I. Part to the Project--

I 3
tiortof the Plinth, and Torus H. (2.) Divide
the Projeétion of the Plinth before the Upright
"Of the Column, into 5 Parts; the firft' I and an
half, terminates the Af’tragal G; and the next
half, the Fillet F. (3.) The third Part terminates
-the Fillet D, and Aftragal B; and 3 Parts and an
half, the ~Ciné‘ture A.

The‘Scotia at large is defcribed by the fame
Rule as the Scotia of the Corinthian Bafe, in Prob.
VI. of the Corintheon Order.

P R O B. VIII. To proportion the Heights of the
Memhers of the Compolite Capitol, Plate
XIV.

The Heights of the Aliragal, Leaves, and of
the Abacus, are the fame here, as before in. the
Corinthian Capital. The Height of the Volute
‘v of, equal to 2 Parts and an half, divided in 8;
give the upper half to the third Part, from ‘v, to
the Fillet; the fourth Part to the Afiragal en-
riched with Pearls and Beads; and the next up—
per 2 to the Ovolo,. enriched with Eggs and
Darts. '

P R O B. IX. an determine the Projeei‘ionr of it":
Menther‘s of the. Compofite Capitol, Plate
XIV. < *

The Proj'eétions of the i’everal Members of this
Capital are the fame as thofe Of the Corinthian;
as alfo is the Diminution of the Shaft, and the Pro-
portion of its Flutes and Fillets.

This Capital is, compofed of the Ioniek and
Corinthian Capitals ; for the Abacus, Ovolo, Al’tra-
gal, Fillet, and Volutes, are the very Members
that compofe the Ionieh Capital; and the two
Heights Of the Leaves, and Aftragal on which they
fiand, are the very fame as thofe in the Corinthian '
Capital.

PR 0 B. X. To proportion the Heights of the
principal Port: of the Compofite Entnh/tttnre,
Plate XV.

Divide the Height. n_ f, in IO Parts; give 3,.
to the Architrave; 3 to the. Freeze; and aim
the. Cornice. .

E. PROB.~

1+

P R 0 B. XI. To proportion the Heights of the

Member: of the Compolite/ Arthz'trove, Plate
XV.

Divide e g in 4 Parts; the lower I, is the
Height of the lower Fafciag' and one third of
the next 1, of its Cima reverfa. Divide the up:
per I, in 4-, give the upper I thereof to the
Height of the Fillet on the Tenia, the next 2 to
the Ovolo; one third of the next 1 to the Fillet;
the remaining two thirds to the Caveto, and the
intermediate I Part and two thirds is the Height
of the Fafcia next under it. '

P R O B. XII. To proportion the Heights of the
Member: of the Compofite Cornice, Plate XV.

(1.) Divide I; o the Height in 4 Parts, and
the upper I Part in 4 Parts; of which give its
upper I to the Regula E; the lower third Part
of the lower I to the Fillet; and the intermediate
Space to the Cima reéta, between them.‘

(2.) Divide the third Part in 4 ; give the upper
I to the Cima reverfa; and the lower 4 to the
Corona.

(3.) Divide the fecond Part in 3, and its up—
per 1 in 4.; give the upper 2 to the Ovolo, and
the next 1 to the Fillet, which caps the Mo-
dillions.

Half the lower third Part, is the Height of
the Cima reverfa, between the upper and lower
‘ Modillions. .

(4..) Divide the lowel’t fourth Part of the
Height, in 4; give the lower half to the Cima
reverfa C; and the other half being divided
in 2, give the upper 1 and two thirds of the
. next, to the Height of the lower Modillion.

The Height of the Aliragal c d is equal to
half the Height of the Cima, over them; which

divide in 3 ; give 2 to the Af’tragal, and 1 to the
Fillet.

’0f the COMPOSITE OR'D‘ER.

P R O B. XIII. To determine the Prty'eflz’om of

the Member; of the Compofitc Arthitmtte, Plate
XV.

The Projection of the Tenia, before the Up-
right of the Freeze, which f’cands over the Up-
right of the upper Part of the Shaft of the Co-
lumn, is equal to one fourth of the Height of
the whole Architrave. Divide o p the Projection
of the Tenia, in 3 Parts; give the firl’t one to the
Projection of the upper-Fafcia; and three fourths

of the next I, to the Projection of the Fillet over
the Caveto.

P R O B. XIV. To determine the Projefiz'om of the

Member: of the Compofite Cornice, Plate
_XV.

The Prbjeétion D E of the whole Cornice, is
equal to D C its entire Height. z‘igaini’t any
Part of the Freeze, as at m, draw a Line m n,
equal to D E, which divide in 4 Parts; fubdi-
vide them again, and terminate each Member, as
exhibited by dotted perpendicular Lines; which
pafs through the Divifions from the Profile to the
Plan, or Planceer of the Cornice.

- The Breadth of the upper Modillions is one fixth
of the Diameter of the Column at its Bafe, or 10
Minutes, and the Interval between them being

~ twice their Breadth, or 20 Minutes; therefore the

central Lines of every 2 Modillions is half a Dia-
meter, or 30 Minutes, as the Modillions are in
the Iom'th Cornice.

When the young Student hath paffed through
all the preceeding Operations, he will be enabled
not only to underltancl every Part of an Order,
by Infpeétion, without having any Recourfe to this
explanatory Part again: But will alfo undetI’tand
the Proportions of all the following Defigns by

Infpeétion, the very Inl’tant that he calts his Eye on
them.

.C H A P.

0f I N T E R COL UM N AT I 0 NS.

15

wanaaaaamamaamnnaaé

.-

~c H A P.

H.

Of the Intercolumnation or proper Difllance that the Columns of every Or—
der are to be placed at, in the forming of Defigns, for :Frontifpieces,

Doors, 4 Windows, 5996.

Note, That herein I account the Diliance or Intercolumnatio‘n, from the central Line of one

Column, to the central Line of the other; and not from the Outfide of the one, to the
Outfide of the other, as many Perfons have done.

. H E "Dil‘cance of Tufi'cm Co-

lumns in Pairs is one Diameter
45 Minutes; but when fingle,
in Frontifpieces, 4 Diameters;
and in Arcades, they may ex—
tend from 5 to 7 Diameters,
where Neceflity requires it, mak-
‘ing the Arch a Semi-Ellipfis, infiead of a Semi-
circle; but 6 Diameters is the ufual and proper
Dil’tance for an Arcade.

 

II. The Dil‘tance of Columns in the Derick
Order, is regulated by the Number of Triglyphs
that is to be between them. For as the Breadth
of a Triglyph is 30 Minutes, and the Breadth
of a Metope, or Dif’tance between two Triglyphs
is 45 Minutes, and as a Triglyph is always pla-
ced over the central Line of every Column:
Therefore it follows, that to have I Triglyph
between thofe, over two Columns, the Dil’tance
mufi be 2 Diameters, 30 Minutes; that is, 60 Mi-
nutes, or 1 Diameter, for the two half Triglyphs
over each Column, and the whole Triglyph be-
tween them; and 90 Minutes, or 1 Diameter and
an half, for twice 45 Minutes, the Breadths of
the two Metopes. So in like Manner to have
two Triglyphs between, the Dif‘tance mul’t be
3 Diameters, 45 Minutes; to have 3 Triglyphs,
5 Diameters, which Vitruvz'm calls Araeofiyle;
and to have 4, Triglyphs, 6 Diameters, 15
Minutes, which lai’t is ufed in Colonades, and
Arcades ; and that of 5 Diameters for Doors, Gr.

III. The Dif’tance of Columns in the [wick Or‘
der is regulated by the Number of Modillions,
which are placed over Columns, the fame as the
Triglyphs in the Derick Order. And as the
Dif’tance of the central Lines of [mine Modilli-
ons, in a Cornice 'over Columns, has been fhewn
to be 30 Minutes or half a Diameter, therefore
the Diftance between Columns in this Order, to
have two Modillions between, which is the leafi:
that can be; to have the Columns clear of each
other, muff be I Diameter and an half; to
have 3 Modillions between, 2 Diameters and an
half; to have 5 Modillions between, 3 Diameters ;
which laf’t being doubled, is ufed in Arcades ;
and that of 2 Diameters and an half doubled,
for Doors, {9%.

The Diftance of [Mick Pilafters not diminifhed, .
mui’t be greater than of Columns, becaufe the
central Lines of their Modillions, are at 35
Minutes Dil’tance; and therefore it follows, that
to have two Modillions between, the Diftance
mul’t be I Diameter, 45 Minutes; to have three
Modillions between, two Diameters, and 20 Mi-
nutes; to have four Modillions between, two
Diameters 55 Minutes; and to have five Modil-
lions between, 3 Diameters, 30 Minutes, {‘36.

IV. The Difiance of .Columns in the Corz'ntbz'-
an Order, is alfo regulated by the Number of
Modillions between them; and as in Prob. XV.
of the Corinthian Order, the Dii’cance of, their
central Lines are 35 Minutes, which is the fame

Dii’rance,

16

Diflance, as the Modillions in the [wick Cornice
over Pilafiers; thereforethe DiI’tances of Corin-
, tbicm Columns muI’t be the fame as of lom'ck
Pilaf’ters. And as the Dif’tance of the central
Lines of Corinthian Modillions, in a Cornice o-
ver undiminilhed Pilaf‘ters, is alfo Iliewn in Pro-
blem XV. of the Corinthian Order, to be 40
Minutes; therefore it follows, That to have two
Modillions between, the Dif’tance muI’t be two
Diameters; to have three Modillions between,
'two Diameters, forty Minutes; to have four
Modillions between, three Diameters, twenty Mi-
nutes, Eric.

V. The Difiance of Compofite Modillions in a
Cornice over Columns, is the fame as in the [wick
Order; therefore the Diftance of Comquzte Columns
and Pilafiers are the fame as of [mice Columns and

Pilafiers.

The Manner of proportioning the feveral Or-
ders, and determining the proper Difiances they
are to be placed at, being thus explained; I {hall
now proceed to give fuch ExPlanation of the fol-
lowing Plates, as will render the Bufinefs of eve-
ry Defign eafy and delightful to every one, who
has made himfelf a Matter of the Precedent Or-
ders.

Plate XVI, XVII, XVIII, XIX, XX.
Of‘PIERSfar GATES.

To make thefe, and all other Defigns contain—
ed in this \Nork, eafy to the Underflanding of all
Capacities, and to enable fuch, to work them,
of any Magnitude required ; I have to every De-
fign affixed Scales of Aliquot Parts, (which never
was done before by any Mafier) whereby, having
only the Height of any Work to be made
(which in all Cafes muf’t be given ;) the Whole
may be performed with the utmoft Exaé‘tnefs» as
required.

A’sfor Example; Let it Ive required to proper/i071
the Pier G, Plate XVI. to any given Hag/9t.

Divide the given Height, ( fuppofe ten Feet)
into four equal Parts (as fignified by the Scale on
its Left Side) give two thirds of the loweit I
Part to the Height of the Subplinth G; and two

0f PIERS for GATES.

thirds of the other third Part, to the Height of
the Plinth, Torus, and Fillet. Divide the upper
fourth Part, in 3 Parts; and the upper \I Part
thereof in 3 Parts; of which, give the upper
2 Parts to the Height of the Capital; whofe
Members are above defcribed at large by Fig. B.
By the dotted Arch of a Quadrant in the Sub-
plinth G, it is evident, that the Breadth of the
middle projeéting Part of the Pier, is equal to.
the Height of the Subplinth, which Breadth di~
vide in 4; and give I to the Projection of each
Side.

The Height of the Subplinth of the Pine Ap-
ple on the Capital, is one Part and one third, as
Iignified by the dotted Semicircle: And the
Height of the Pine Apple and its Pedefial, is de-
termined by the lnterfec’iion of Arches defcribed
on the extream Points of the Capital’s Projec'
tion, and which being divided in 3 Parts, and
the lower I in 3, {9%. give to every particular
Member, its refpe€tive Height, as exhibited. T he
Projection of the Plinth to the Pedeflal of the Pine
Apple, is two thirds of the Projection of the Mid-
dle Part of the Pier.

Now the young Student is to obferve, that as
the conf’tituent Parts of all the Defigns in this
Work, are adjufled in the very fame Manner as
thofe of the above Example; which, it is manifeft’,
are no fooner feen but underflood; it is therefore
evident, that to fay any Thing further relating
thereto, is needlefs.

Thefe five Plates contain eighteen Deligns of
Piers for Gates at Entrances into Gardens, Ave-
nues, Courts, Palaces, {3°C. which may be built
either of Stone or Brick, or of both, intermix’d,
at the Plealiire of thofe for whom they may be
ereéted.

Plate XXI, XXII, XXIII, XXIV, XXV.
GA T E S for Entrance: into Palmer, 82c.
Five Defigns for Gates, of which the firfi“,

fecond, third, and fourth, are according to the
Tufcan, Derick, Ionic/e and Corz'ntliz'm: Orders;
whofe refpet‘ftive lmpofts and Architraves of
their Arches are defcribed at large, and proper-
tioned by Aliquot Parts, at the BOtIom of each -
Delign; as likewile- is the lmpoi’t and Archi;
trave to the Gate, Plate X—XV. made for an En-
terance to the Houfe of a private Gentleman, gr.

Pate

OfFROZVTISPIECESfor DOORS to Muuflort iHou/ér. I7

Plate XXVI, XXVII, XXVIII, XXIX, XXX,
XXXI, XXXII, XXXIII, XXXIV, XXXV,
XXXVI.

.FRONTISPIECES for Dooas to MANSION-
Housas, {9°C}

Thefe Eleven Plates contain twentytwo De—_

figns of Frontifpieces for Doors, of which the
firfi two, Plate XXVI. are compofed of Cham-
pher’d Rul’ticks; and proper for Entrances into
Buildings that have Porticoes before them, to
carry oh“ the Rains, which themfelves cannot do.
The next two Defigns, Plate XXVII. are alfo ru-
fticated; the one B, as the preceding; the other
with fquare Rul’ticks, and being both crowned
with Pediments are thereby made fit to adorn
the Entrance of any Building without a Por—
tico; as alfo, are all the Defigns with Pediments
in the following Plates. And when it happens,
for Want of a proper Height, that a Pediment
cannot be made; then in all fiich Cafes the Cor—
nice mul’t break forward, and be fupported by
Trufi'es, as A, Plate XXVIII, XXXI, XXXII,
to carry off the Rains. 'It alfo very often hap«
pens, that even when Frontilpieces may be finilh-
ed with Pediments, that the Projeétion of the
Pediment will not be fiiflicient to protect the En-
trance from the Infults of Rains; therefore in
fuch Cafes, .the Pediments mull advance for—
ward, and be fufiained either by TruITes, as ex-
hibited in Plate XXX, XXXI, or by Pilaf’ters,
or Columns, as in Plate XXXIII, XXXIV,
ICXXV, XXXVI.

As I have finilhed the greatel’t Part of thefe
Defigns with Pediments of all the Varieties of the
Orders, I {hall in the next Place Ihew

Hem to find the difitreut Curvature: of Raking
Mouldings of Pedimeuts, and .Modz'llz'orzr, Plate
XXXVII.

(1.) Lett 1, “ya, be the upper Fillet or Re-
.gula, and w 5, x0, the lower Fillet, of a level
Cima Rec'ta of a Cornice; alfo It], g5 be the
Raking Regula, or upper Fillet ; and z' t, m z the
lower Fillet of the Raking Cima Reé‘ta, and let
u b e, be the Level Cima Reé’ta given, whofe
Heights is at, and Projection u e. Divide u c in-
to any Number of equal Parts, fuppofe 8, and
draw the Ordinates 1 p, 2 p, 3 p, (it.

‘ (2.) On any Bart ofg 5, as ate, raife a Per-
pendicular, as efi‘to the Height of the Raking
Cima, which divide in the fame Number of equal
Part as at, as at the Points 1, 2, 3, fife. from
which draw Ordinates 1p, 2p, 3p, {9%. each
refpeétively equal to the Ordinates in the Cima A,
and then tracing the Curve dpp, {996. f, it will
be the true Curve of the Raking Cima.

(3.) Suppo/e the Point g, Fig. C, to be the ut-
mofl Point of Projet’tz'ou, in the Return of the Raking
Cima, in cm open Pedimeut.

Draw g b parallel to w c, and from 19 draw
the Perpendicular bi, which divide in eight e-
qual Parts at the Points I 2 g, from whence
draw the Ordinates 1;), 2p, 3;), Est equal to
the Ordinates 1 p, 2 p, 3 p, 556. in Fig. A.
From the Point g, through the Points 1) p p, fie.
trace the Curve gpp, {9%. i, which is the true
Curve of the returned Cima, as required.

Fig. I) E F is a fecond Example of an Ovo-

lo, wherein the three lEveral Heights are all e-
qually divided into the fame Number of Parts,
and the Ordinates of every one are refpeéiivel‘y
equal. .
Now what is here faid with Refpecl: to the
Raking Members of a Pediment, is to be alfo
underflood of the Members of Raking Modil-
lions. For if Fig. E, or Fig. B, be confider’d as
the Front. Moulding, then the Figures F and D,
or C and A, are the Moulds or Curvatures of
the two returned Mouldings.

For this excellent Method I am greatly oblig-
ed to the ingenious Mr. ROBERT HARTWELL,
at the Tower of Landau, Carpenter.

Plate XXXVIII.

To dcfcrz'ue the Curvature 0f u Trufr, for the Support
of u Cornice, &c.

(1.) Divide the given Height into eleven equal
Parts ; divide the upper three Parts in {even Parts,
and make u e the perpendicular Line of the Pro-
jection of the upper Volute to eight of t-hofe Parts :
Alfo, divide the third and fourth Parts of its
Height in {even Parts; and make the Projection
of the lower Volute equal to eight ofthofe Parts.

(2.) This done, proceed in every Particular to
deici'ibe the two Volutes, and the Curve erg,
as directed in Sect. II. Prob. XV. of the Corz'rz-
thian Order, to defcribe the Volutes or Scrolls pf

F tie

18

the Carin/aim: Modillion. .Fi itB. reprefents the
life of a Volute, with its Ce’ers at large; and
Fig. A, the Face or Front of a Trufs; which
divide in eight Parts, give the outer ones to the
two Fillets; the middle one, to the Altragal, and
its Fillets; and the Remainders on each Side, to
the two Cima Recta’s.

Plate XXXIX, XL.

Of Attick Windows, 'wloofe Diameter and Height:
are equal.

There two Plates contain ten Windows, for
A’ttiek Stories, which are differently adorned, the
Brit two having Window Stools, the one with
plain Brick Work, the other with an Architrave
exprel'fed at large, by Fig. G, whofe Breadth is
equal to one fixth of the Window. The other
eight are alfo adorned with Architraves, fquare
and. knee’d, entire and broken, or interfperfed
"with Rufiick Blocks, on Stools, fupported by
frufies, of which Fig. C, D, E, F are four
.Yarieties.

Plate XLI.

Of Windows wbofe Height: are equal to tbe Dia~

gonal of a geometrical Square, 'wbofe Side is equal
to tbe Diameter of t/pe Window.

This Plate contains four Deligns, viz. two
iquare—headed, proper for an flttick Story, alfo one
femi-circular, and one femi-elliptical headed, for
Chambers next under them.

Plate XLII, XLlII, XLIV, XLV, XLVI,
XLVII, XLVIIl, XLIX, L, Ll, LII, LIIl.

Of l’l/indo'ws for State Rooms, and t/oeir Enrich-

77787215.

As thel'e Sort of Windows are fometimes en-
riched with an Entablature, and plain Archi-
trave only, as thofe in Plate XLV, XLVI; or
have their Architraves interfperfed with Rufi'icks,
as A, PlateXLIV, (do. I have therefore, pre-
cedent to them, given three Varieties ofEnta—
blatures, fit to be placed over Windows, «viz.
Fig. A, B, Plate XLII, and B, Plate XLIII, as
alfo, for Variety Sake, the Block Cornice A, which
when praétifed, muf’t‘be placed on Camphered

OfWINDOWS.

Rufiicks, as in B, Plate XLVI. Plate XLVII
contains a Dorie/e and Tit/eon Window, the firlt
with Columns, the other with Pilalters, (whofe
F lutings I [hall prefently lhew, How to defcribe.)
Plate XLIX contains an Ionic/e and Corinthian;
and Plate L, two Compo/ite Windows, which fix
lalt are of all others the molt magnificent that can
be made, except thofe which are called Venetian
Windows, of which I have given three Varieties,
viz. Tufean, Doric/t, and Ioniek, in Plate LI, LII,
LIII, and which are moI’t proper for a grand Stair-
Cafe, Saloon, Library, Chancel of a Church, fife.
where much Light is required; or for a Dining
Room, {9%. whence fine Views may be feen.

Plate LIV.

Of eireular and elliptical lI/indott'r.

This Plate contains five Varieties of circular
Windows, and one ovalar, differently adorned
with Architraves and Ruflicks; which are pro-
per for flttie/e Stories, or in Tympanums of Pe-
diments, 69%.

To ole/(rile an Oval ”finders; if any Brandt/3 and
Hag/2t, t/oir it the Rule.

’Draw the two Diameters at right Angles, each
of their alfigned Length. Set half the lhort Dia—
meter from f the End of the long Diameter
to la, and divide the Remains of the Center ii, in
three equal Parts, and {er one Part from k to i.
Make b g equal to I.) i, and complete the two
equilateral Triangles g a i, and g 222'. On the
Centers g and i, with the Opening if, defcribe
the Arches a’f m and le 7, and on the Centers
4 n with the Opening a m, clelcribe the Arches
m o l, and 7 b d, which completes the Oval, as
required.

Plate XLVIII.

‘To defrribe the Flute: and Fillet: of Pilaflers, and
to repre/ent tbe perfpefli've dppearames cf flute:
and Iii/let: of Columns.

EXAMPLE I. To divide the Flute: and Fillet: (ff
any Pila/ter, Fig. A.

Draw a Line at Pleafure, as l) l, and therein
fer 29 equal Parts of any Ma snitud: at I’leafure,
and

OfNICHE'S.‘

and cOmplete the equilateral Triangle A hl, fet
the given Breadth of the Pilafter, Dfuppofe 2' It,
from A, to z', and from A to It, then drawing
Lines from A to the firl’c one, the next three,
the next one, the next three, fife. in the Line h 1,
they wi ii divide the Line 1‘ kinto its Flutes- and
Fillets, as 1equi1ed.

EXA M 9. II. To divide the Flute: and Fillet: with
Beads at the flag/es, of any Pilafier, as Fig. B.

Draw a Line as m p at Pleafure, and therein
fet 31 Paris as before, and then completing the
equilateral Triangle B m p, proceed in every Re-
fpeet, as in the preceding Example. And here

note, That when the Lines reprefenting the F lutes-

and Fillets of a Pilafier are thus drawn, on a
Draught Board, {9%. from thofe Lines, the. Flutes
and Fillets of all other Pilal’ters of greater Dia-
meter may be readily found. As for Example:
Suppofe the Lines [2 f and a d, Fig. A, were the
Diameters of two other Pilal’ters. On any Point,
in any Side, fuppofe 011 h, with an Opening equal
to hf, defcribe the Arch g e, cutting the Side of
the Pilal’ter in f; then draw the Line h f, the
feveral Flutes and Fillets firt‘t drawn, will divide
that Line in the fame Proportion ; and fo the Line
a a’ the Diameter of the lefl'er Pilafter.

The Lines r t and g .r, Fig. B, exPrefs the
fame, in that Pilafier which hath Beads at its

Angles.

Yo repre ent the perfpefii've fippem ance: of Hale: and
Fillet: 2n the Shafts of Ca/nnznr, Fig. C, D.

By Prob. XI. of the Ionic/t Order, defcribe the
Flutes and Fillets in each Semicircle a g e, and
c h a’, from whence draw perpendicular Lines,
which terminate with Arches, asxxx, £56. and
the Whole wiil be completed, as required.

Plate LV, LVi, LVII.
Of N 1 C H E s.

'I‘hefe three Plates contain {ix grand Deligns for
Niches, of the Tufean, Derick, Ionic/e, Corinthian,
and Campoflte Orders, whofe Cavities, though
here reprefented femicircular, may be made femi-
elliptical at Pleafure, when required, and as the
-working of the Heads of Niches, femicircular,

19
femielliptical, ma be performed two difi’erent.
Ways, which are very curious, I {hall therefore
now explain thofe Operations as follows:

Plate XVIII, Fig. K.

To form the Head of a femz'circnlar and fimiellipticai
Nieh, hy diver: Thickneflér of Plank, &c. glew’d
together.

(1.) On the Surface of a flat Pannel, 59%. large
enough to contain fomething more than the Plan
of the Nich, defcribe a Semicircle, as 1 2 3, £56.
14, 5 rd, Fig. K, of the fame Diameter, as that
of the Nich. Take the Thicknels of your Plank,
{9%. in your Compafl‘es , and fet that Dil’tance on
the Semidiametera a, from a to e, from are e,
Ge. and through the Points eegz', &c. draw
Lines parallel to the Diameter I a d. Take a.
Piece of Plank, as Fig. A, and with a Square,
applied to its Edge about the Middle of its
Length, as at a; draw a Line, from the’under
to the upper Surface ; the Extreams of which are
two Centers; on which you are to defcribe two
Semicircles; the under one with the Radius a 1 ;
the upper one with the Radius 6 2. With a turn-
ing Saw cut obliquely through the two Semicir-
Cles 5 and then you will have done the firf’t Thick-
nefs. Take a fecond Piece of Plank, as Fig. B;
draw a Line on its Edge near its Middle, fquare to
both Surfaces; whofe Extreams are two Cen- ,
ters as before. On the under Center thereof,
with the (laft) Radius, e 2, defcribe a Semicir-
cle equal to the laft (becaufe the under Surface of
this fecond Piece, is to be glew ’d on the upper Sur-
face of the fad) and 0111 5 upper Center, with the
Radius e 5, defcribe a Sem ici1cle on the upper Sur-
face ; then cutting t hrough both Pieces as before,
the fecond Piece 15 t one.

(a. ) Proceed in like Manner until the Whole
is complete , the Operations of which are expreifed
by the feveral Semiciici es ,3 -: 4,4 : 5, 5. £5}.
intheFiguresC, D,L:3 FWGHIKHLM,
N, O,wl11cl1 reprelent the feveral Pieces of Plank
as their refpeé‘tive Heights above the Bafe 1 ad
approach the Zenith of the Nich.

(3.) Glew all thefe 'I‘liickneffes, one on the 0-
ther -, and with a Compafs, fmoothing Plain, whofe
Arch is fomething quicker than that: of the Nich,
clear off and finifh the lnfidc.

An

20'
(4.) An elliptical headed Nich may be form-
ed in the fame Manner, as the preceding ; if Semi-

Ellipfiffes are defcribed on the Surfaces of the
Thickneffes ; as the Semicircles aforefaid.

To find the long Diameter of the feveml Semi-
Ellz'pflflr.

As they diminifh from the Bafe of the Nich
to its Zenith; defcribe an Ellipfis equal to the
Plan, or Face of the Nich -, divide its Height into
Thickneffes, and drawing Lines through the feve-
ral Points of Divifions, parallel to its longef’t Dia-
meter, until they meet the Curve of the Front, in
the fame Manner, as in the preceding Fig. K -, they
will be the long Diameters required.

Yo find theirrefiwflive femi—jhert Diameterr.

Defcribe .a Quadrant, whofe Radius is equal to
the Height of the femi-elliptical Head .of the
Nich. Divide one of its Sides, into the fame
Number of Parts, as the Number of ’I‘hicknelTes
in the Height. From thofe Parts or .Divifions,
draw Ordinates to the Limb ; which are- the femi.
{hort Diameters, refpedtively proportionate to the
long Diameters before found.

The Heads of Niches are fometimes formed
by Ribs, as Fig. IV, where A is the Plan, and B
the Elevation of the Ribs, for a femi‘circular
headed Nich.

The Mould by which thefe Ribs are made,
is the Arch of a Quadrant, a h, Fig. III; or
the Arch ah, the half Front of Fig. B. When
the Heads of Niches are thus formed, they are
either lathed or plail’tered within Side, or lined
with thin Deal or Vv'ainfcot; which laft, if per-
formed in a neat Manner, has a very good Effect,
and may be thus performed.

To cut out the Lining fer the Head of a femirz'rru/zzr
" Nich. Fig. 1. Plate LYlll.

Let the Semicircle h 4 8, reprcfent the Plan Of
the Head of a femicircular headed Nich, which
divide in 16 Parts, and through every other Part
draw the Lines Az, 82, C2, Exc. making
their Lengths B (I, &c. equal to the Length of
the Arch h 4; or half the Circumference of the
Nich’s Head.

Complete the Circle 1 6 h, 4 p, and draw the
Diameter 4, 16, at right Angles to the Diameter

0f N'I CH as.

h z 8. Divide the Semidiameter z 16,.in eight '
Parts, and through them draw the Lines h p, i q,
k r, 8m. and on the Points 9, ‘ro, r r, &c. with
the Radius 9,1); 10 g; It r; 8m. defcribe Semi-
circles, as og 10 w; nfz v, &c. and divide a
fourth Part of each, as g 10', f z, &c. into 4
equal Parts. On the Point G, with a Radius
equal to the Length of the Arch 0 16, or 16 w,
defcribe the Arch a 17 h, alfo with Radius’s
the Lengths of the Arches 16 72-, 16 m; 161-,
16 It; 16 z'; 16 h; defcribe the Arches d 18 c;
e 19f; h 20 g; It 21 i, ~&c._ On the Arches
a h, dc, cf, &c. fet off one fourth Part of the
Archesg IO, fz, &c. from the Points [7, I8,
19, &c. to the Points ah; dc; ef; hg; lei;
&c. through which, Lines being traced, from the
Point G, to the Points 6 and 7-, the Part G 6 7.
will be an eighth Part compleared. In tie fame
Manner complete the other 7 Parts, A B C, £55.
and when bent into their Places, they will ercaftly
complete the Lining of the Head of the Nich, as
required.

Note, In very large Niches, the Number of
Parts may be encreafed from 8 to 12, i6, 20,
556. at Pleafure.

Fig. II. is the Plan of the Head of a femi-el—
liptical Nich, compofed of Ribs for Lath and
l’laillcr, whofe Bafes are reprefented by a {red
(3 f. The Front of this Nich, is the very fame
Semi-lillipfis, as the Plan a fg. But the feve—
ral Ribs, which Hand on the Plan to form the
Head, are different, as being all Quarter Parts of
Ellipfil‘fiss whofe longed Diameters are lefs; ex-
cepting the Front Rib, that {lands over the Bafe
fh, which is the fourth Part of a Circle, whofe
Radius isfh.

To form the Curves of the Ribs, to fiand on
the Parts h c d e, confider their Bafes h h, c h, d h,
and e h, as half the long Diimeters of f0 many
Ovals, andf h is half the lhoz't Diameter to every
one of them in general. Then by the Rule gi-
ven in l’late LlV, to defcrihe an oui‘ar VVin-
dow of any Breadth and Height; LlL‘iL‘l'lL‘C the
Curves for the feveral Ribs required ; which are
no more than the (batter Parts of f0 many com‘
plete Ovals.

Plate LIX, LX.

Eight Defigns for Marble Cillcrrs, for Buffets,
Side Board Tables, Gr.

Plate

0f Cbimrzey Pieces, Pavements, Altar Pieces, Pee/pity, 7,2772%, 86C.
Plate LXI, LXII, LXIII, LXIV, LXV, LXVI, .

LXVII, LXVlII, LXlX, LXX, LXXI,
LXXII, LXXIII, LXXIV, LXXV, LXXVI,
LXXVII,LXXVIII,LXXIX,LXXX,LXXXI,
LXXXII, LXXXlII, LXXXIV, LXXXV,
LXXXV I, LXXXVII, LXXXVIII,LXXXIX,
XC, XCI, XCII, XCIII.

Of Chimney Pieces, and their Enrichments.

In thefe thirty-three Plates, there are fixty-three
of the bef’t Defigns for Chimney Pieces, and their
Ornaments (containing great Variety of Tabernacle
Frames, Shields, Feltoons, 69°C.) that have been
yet publilhed by any one Matter in Europe, if not
in the whole World.

Plate XCIV, XCV, XCVI, XCVII, XCVIII,
XCIX, C, CI, CM, CIII, CIV, CV.
Of Pavements, Frets, and Gulochi’s.

Twenty-feven Defigns of Marble Pavements, for
Halls, Baths, fife. the laf’t nine of which are in-
viron’d with thirty-fix Varieties of Frets, Gulochi’s
and Borders, which in general may be as well ap~
plied for Borders to Pavements, as to enrich the
Planceers of Architraves, or other Ornamental
Parts of Architecture, wherein they are commonly
introduced, and more particularly fuch that may be
view’d from a Gallery.

Plate CVI, CVII,. CVIII, CIX, CX, CXI.
Of Altar Pieces.

Six Altar Pieces, of which the firlt two are for
Chapels, and the others for Churches.

Plate CXII, CXIII, CXIV, CXV, CXVI, CXVII.
Of Pulpits.

Six Defigns for Pulpits, which in general have
their Plans, Types and Members reprelented at
large ; which the ingenious Workman may perform
with Pleafure.

Plate CXVIII, CXIX, CXX, CXXI, CXXII.

Tables for Monumental liifcriptions.

Twenty—two Defigns for Tables of Renown, for
perpetuating to l’olterity the Memoirs of worthy
Perfons deceafed.

Plate CXXlIl, CXXIV, CXXV, CXXVI,
CXXVII,CXXVIII,CXXIX,CXXX, SXXXI,
CXXXU, CXXXIII, CXXXlV, CXXXV,
CXX‘XVl. » ‘ .

Of Monuments.

Twenty-one Defigns for Monuments, enriched
with Vafes, Bafs-Relievo’s, Buf’to’s, £536., from
which the ingenious Workman may receive fuch
Hints, as to invent others innumerable.

2!

Plate CXXXVII. Of Tombs.

Here, for Variety Sake, Ihave given a Plan, and
two Elevations, by which ’tis evident, that thefe
Kinds of Tombs are nothing more than regular Pe-
deltals, crowned with large Tables for I nfcriptions.

To make thefe Tombs truly grand, they fhould
be afcended by three Steps, giving to the upper Step
a Breadth, at lealt double that of the others.

In Plate CXXXII is lhewn, how much an Object
appears lefs, as ’tis elevated above the Eye. Suppofe
the ObjeCt D, whofe lower Part is level with the
Eye 12, be raifed from a to c ; then its real Height
6 d, will appear to the Eye at It, to be no higher
than fg ; becaul'e leg and k a are equal ; and fg
is feen under the fame Angles as d e.

To make a’Monument, (3’6. placed on the Point"
it, appear of equal Height, with a Monument
view’d level with the Eye as D -, draw the Lines IO
k; 5 k; and c It. On the Point A with any Radius, de-
fcribe an Arch as x x z 2 at Pleafure. Make the Arch
x 2, equal to the Arch z z, and from k through the
upper or, draw the Line It at b c; then the Height 6 6,
equal to eight Feet is the Height required, at fifteen
Feet above the Eye ; that {ball appear equal to five
Feet, view’d level with the Eye. For as the A ngle
e It 6, is equal to the Angle IO k 5 ; and as e z‘ is per-
pendicular over a 5, therefore the Height e e, though
three Feet more than a I), will appear to the Eye at k
to be but ofthe fame Height of a é, 7222. five Feet. '

As very often it is required to erect Monuments
in Churches, at fume coniiderable Heights above the
Eye ; I therefore, for the Sake of Mafom, thought
it neceliary to demonltrate the preceding, that they
might avoid Errors in proportioning fuch Works-
for the future.

Plate CXXXVIH. Of Obelifqties.

Here Ihave given four Varieties of Obelifqties,
viz. Fig, A. whofe Bale is a geometrical Square;
Fig. B. an equilateral Triangle 3 FigC. an Octagon;
and Fig. D. a Circle.

Plate CXXXIX, CXL. OfTime Pieces.

Two Time Pieces for the lnfide of Churches 3 as
againi’t a Gallery, C990,.

Plate CXLl, CXLl?, CXL‘II, CXLlV, CXLV,
, CXLVl, CXLVII.
Frames for Marble Tablesv'n Roam ome/e, 8m.

Ten ljefigns for the feet and Frames of Nlarble,

. Tables, after the Freer/2 Manner.

- Plate CXLVIYI, C‘XLIX.
Of Marble and Stone ’i‘ables for Urotto’s and Arbors
2'72 Gentle)“.
Here are {our Varieties of Tables, and as many of
H . tneir

22

their Pedel‘tals, whofe Plans explain the Figures to
be circular, oftangular, hexangular and fquare.

Plate CL.
Of Chrii’l‘ening Fontsfor Cburrlaes, and their Pedtflalr,
. Four Fonts for the Baptifm of Children in
Churches, which to be grand, {hould be erected on
a fpacious Afcent of three Steps, "that thereby,
during the Performance of Baptifm, the Prief’c may
be elevated above the Congregation.

‘ Plate CL], CLII.
Pedef’tals for Sun-Dials, and Buf’to’s.

The Brit lixPedefials are defigned for Horizontal
Sun-Dials, which, when ere€ted, fhould be elevated
about three Steps from, the Ground ; whereby they
will be lefs liable to be difplaced by Accident, and
thereby rendered ufelefs. The lali four Pedel’tals are
defigned for Buflo’s, placed in Buildings or Gardens.

Plate CLlll, CLIV, CLV, CLYI.

A Chel’t of Drawers, a Medal Cafe, a Cabinet of
Drawers, and a Drefling Table enriched after the
Fruit/9 Manner.

Plate CLV ll, CLVIIl, CLIX, CLX, CLXI,
CLXII, CLXIII, CLXlV.

. Eight Deligns for Book Cafes.

Plate CLXV, CLXVI, , CLX VII, CLXVIII,
CLXIX,CLXX,CLXXl,CLXXH,CLXXlII,
CLXXIV, CLXXV, CLXXVI, CLXXVH,
CLXXVIII.

Fourteen Defigns for Cielings, with great Variety
of Enrichments; wherein is contained, for the Ufe
of Carpenters, the Manner of forming Angle Brack-
ets, for a Plaii‘ter Cove of a Cornice, as tollows :

I. T 0 form the Curse of the xingle Bracket A, far a
. Piaf/fer Cove, Plate CLXV.

Let B be a front Bracket, f’tanding at the Angle
a, whofe Projection is equal to (z c; and when up in
its Place will Ptand over the Line a c ;_for which Rea—
fon I call it, the Bafe of that Bracket Draw a J},
the Bafe of the Angle Bracket, and divide a c and
a b, the two Bafes, each ii the fame Number of
equal Parts, fuppofe, 6, 8, 10, Eric. as at the Points
1, 3', 5, £36. From the Points 1, 3, 5, {9°C. draw
Ordinates, perpendicular to the two Bales, as cf;
1, 2 3 3, 4', 5, 6; {9°C. and make the Ordinates x, 2;
2. 4.; 5, 6; {5%. on n 12 the Bafe of the Angle

0f Oéelz’fques, firm—Pieces,- Fontr, Cielingr, Sec.

‘Plare CLXXIX, CL‘{.."X,

a".

r

Bracket, equal to the Ordinates I, 2 ; 3, 4 ; '5, 6 ;
{9°C. coat, the Bafe of the front Bracket. Then
fixing Nails in the Pgintsg 2 4 6, 8c, to a; bend
a thin Lath of equal fhicknefs to them, and trace
the Curve g 2 4 6, Cv’c. a, which is the Curve of
the Angle Bracket, for the Cove as required.

11. ‘To form an flngle Bracket for a Plai/ler Cornice,
Fig. A. Plate CLXVlII.

Let 5 f b a, be a front Bracket, d 4 its Height ;
d 5 its Projection, and the Line 6 4 its Bafe, when
erected in its Place, at the Angle a. Draw 11 a, the
Bafe of the Angle Bracket, and raife the Perpendi~
culars a, 5 ; and n, 7'; each equal to d a the Height of
the front Bracket. From the Points f and b, draw
down the Linesfz', I: k, and continue them to m 1.
Draw m g, and [0, parallel to n r. Makelo equal
to k In -, and m g equal to if. Then drawing the
Lines 4 a, o p, p q, and q 7', the Angle Bracket will
be finifhed, as required.

Note, 1 hat a Bracket for an external Angle has
no Difference from a Bracket for an internal Angle, '
the Backing only excepted ; the Back of the former
having its Angle conv. x; and the latter (if firiétly
performed, which is feldom done) concave to its
central Line. And what is here faid for finding the
Curve or Form ofa Bracket at a right Angle; is
to be alfo obferved and praciifed for finding the
Curve or :"orm of a Bracket at any acute or obtufe
Angle whatloever, after having found the Bafe Lines
of the Front and Angle, over which the two
Brackets we to (bind, when in their Places, as e a,
and 72 a, in the laft Example.

CLXXXI, CLXXXH,
CLXXXLEI, CLXXXH , CLXXXV, CLXXXVI.

Twenty-two Deligns for Iron Works of the moft
exquiiite l'afte, from which many curious linrich-
ments may l‘e compofed, for the bmbelnfhments of
Cabinet Works. Cit-Lngs, €36.

In Plate Cl .XXlX, rg. A contains four Varie-
ties of Pannelling for Balconies -, and Figures B and
C are two Varieties for fquare Pannels to Gates, 63%;.

In Plate CLXXX is four V‘arxenes of Raking
Pannels for Stair Cafes ~, and in Plate CLXXXII is
three o;her Varieties for the fame L'fe.

Plate CLXXXI contains five Varieties of pan-
nelling for Iron Gates ; and Plates CLXXXlII,
CLXXXIV, CLXXXV, CLXXXVI, four grand
Defigns for IronPiers,with theirGates and Ornaments.

A D D E N D A,» of Fourteen Plates of R O O F S, fife.

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ENVIRONMENTAL DESIGN

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