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Langley, Batty, 1696-1751 / The city and country builder's and workman's treasury of designs, or, The art of drawing and working the ornamental parts of architecture
(1756)

Chap. 1. Of the manner of proportioning the five orders of columns in architecture,   pp. [3]-16

Page 9

```Of tieIONICK ORDrER~
each Side the central Line which terminates the
O~olo A, in Plate V.  Alfo fet 40 Minutes on
each Side for the Proje&amp;ion of the Fillet B; 38
for the Proje&amp;ion of the Caveto C, and 3~ for
the Ovolo IE.  The Proje&amp;ion of the Fillet G,
is its own Height and two thirds thereof, over
which the Aftragal proje&amp;s half its own Height.
The next Thing in order to complete this Capital,
is to defiribe its Volutes as following.
P R 0 B. X.    To de/cribe the lonick Volute,
Plate VII.
(i.) Divide aX, a given Height of a Capital,
4nto 3 Parts, and the upper i Part in 2 Parts
at c, and proceed to complete all the Members as
taught in the laft Problem.  ('z.) On p the Cen-
ter of the Aifragal defcribe the Circle r ox q for
the Eye of the Volute, through whofe Center p,
draw the perpendicular Line n a p q 4, alfo the
horizontal Line rp s, at right Angles thereto;
~nd complete the Geometrical Squares r o x
whofe Sides divide each into two equal Parts at
the Points 2~ I, 3, 4, and draw the Diameters 2, ~.;
and. 1, 3.  (s.) Divide each Semidiameter into 3
equal Parts, at the Points 6, ~ 5, 9; 11, 7;
and 12, 8; then the Points i 2 3 4567 89 10
II 12, are 12 Centers on which the Out-line of
the Volute is defcribed; for the Point x is the
Center of the Arch n b; the Point 2, of the Arch
b e:; the Point 3, of the Arch eg; the Point 4, of
the Arch gh; the Point ~, of the Arch hk, &amp;c.
(4.) Divide W Z in 4 Parts; the upper i equal
to n a, is the Breadth of the Lifl; which divide
in 12 Parts, of which make bc equal to II; ed
equal to 10; gf equal to 9; hi equal to 8;
k I equal to 7, &amp;c. fill diminiflaing  at every
Quarter.   This done, divide the Diftance between
every two Centers, as between 2 and 6; i and ~,
&amp;c. into ~ Parts, and the i 2 outermolt ones will
be the 72 Centers, on which the inward Line of
the Lif~ may be defcribed, which from the Point a
will pafs through tl~e Points c df i 1, &amp;c. and
complete the Volute as required.
- To make the lonick VoJ.ute well ~n~lerfl:ood,
I have given the Plan of a Quarter Part of its
apital, I~ig. III. Plate V[II. wheTein obferve;
that as the Volutes~ are placed anglewife, or rather
diagonally; therefore when we ifand diredly be-
fore a Column, though they are really circular,
as. in Plate VII. yet they will appear elliptical;
~s~h~ving tl~eir Breadtlis forelhortezi'd by being
9
feen in an oblique View; and therefore when we
make a Drawing of this Capital, the Volutesmu&amp;
be made elliptical, as in Fig~ II. Plate VIII. -.
P R 0 B. XI.   To divide the Flutes and FiLlet
of a round or fquare lonick Column, Fig. III.
Plate VIII.
Firif, Of a round Column, as the Quarter Part
M K I; divide the Circumference of the Pillar
into 24 equal Parts, and each Part into 8 Parts;
with the Radius of ~ of thofe 8 Parts, on every
of the 24 Parts, defcribe the Flutes,' as before
done in the Dorick Order.
Secondly, Of a fquare Cohemn, as the Q~arter
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 31 Parts;
and 3 to each Flute, and i to each Fillet, and
Bead, at the Angles, when a Side of the Column
is divided 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 rio more,
than three fourths of a Circle infcribed in a geo-
metrical Square.
As the Ovolo of this Capital is generally
enriched with Eggs and Darts, commonly called
Anchors, I fhall therefore ihew at large the Man-
ner of defcribing them.
P R 0 B. XII.   To defcribe Eggs and Darts for th~
Enrichment of an Ovolo, Fig. I. Plate VIII.
Firif, To proportion their Dglances.
Divide the Height into 9 Parts, and at ~he
Diftance of 7 of thofe Parts, draw the central
Lines of the Eggs and Darts.
Secondly, To defcrike an Egg, as Fig. B.
The Height of the 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 Poi~it
from the Bottom, with a Radius of. 2 Parts,
defcribe an entire Circle.  Draw down the L~ines
4 a, 4 a, each equal to 3 Parts, anJ thyough
the Point 3, draw the Lines 4 anda c.    On
the Points a a, with the Radius a b, defcribe the
Side Curves, which ~wil~ complete the E~g~ as
required.
'Thirdly,

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