LECT. II.] ON PERSPECTIVE. 59
doors fquare ;—churches the fame; or at ieaft, fquares
combined with circles: their domes are circular, as
are ail arches, and fo on. The internal parts of our
dwellings are equally compofed of fquares ;—apart-
ments, and their furniture, tables, chairs, &c. moftly
fquares: not only fo, but many of our domeftic fquares
generate circles, as for inftance, all which turn upon
hinges; the hinge becomes a center, while the door
itfelf in opening defcribes a circle on the floor: not
only architectural columns are compofitions of circles,
but fo are many other objects which might be named,
even to tea-cups and faucers.
By a kind of analytis fimilar to this, we reduce a
piece of perfpective to its firft principles. Buildings,
may be confidered as right lines, or as compofed of
right lines, croffed by other right lines at certain
angles, and defcribing folids, or apparent folids, either
elevated on, or adjoining to, each other; and, extremes
of lines are mere points.
By an inverfe procefs we compofe the whole;
firft, we find the perfpective fituation of one point,
then of another beyond it; thefe united make a line :
in the fame manner other lines are made; which
attached to the former, by degrees become a folid :
folids raifed on each other, or adjoining to each other,
compofe buildings; whofe extent, how large foever,
is merely an addition of folids to folids, and parts to
parts, fo related, that, having adjufted one part truly,
the others are eafily determined.
The almoft irrefiftibie effect of regularity may be
very juftly inferred from hence; and not lefs juftly,
the
doors fquare ;—churches the fame; or at ieaft, fquares
combined with circles: their domes are circular, as
are ail arches, and fo on. The internal parts of our
dwellings are equally compofed of fquares ;—apart-
ments, and their furniture, tables, chairs, &c. moftly
fquares: not only fo, but many of our domeftic fquares
generate circles, as for inftance, all which turn upon
hinges; the hinge becomes a center, while the door
itfelf in opening defcribes a circle on the floor: not
only architectural columns are compofitions of circles,
but fo are many other objects which might be named,
even to tea-cups and faucers.
By a kind of analytis fimilar to this, we reduce a
piece of perfpective to its firft principles. Buildings,
may be confidered as right lines, or as compofed of
right lines, croffed by other right lines at certain
angles, and defcribing folids, or apparent folids, either
elevated on, or adjoining to, each other; and, extremes
of lines are mere points.
By an inverfe procefs we compofe the whole;
firft, we find the perfpective fituation of one point,
then of another beyond it; thefe united make a line :
in the fame manner other lines are made; which
attached to the former, by degrees become a folid :
folids raifed on each other, or adjoining to each other,
compofe buildings; whofe extent, how large foever,
is merely an addition of folids to folids, and parts to
parts, fo related, that, having adjufted one part truly,
the others are eafily determined.
The almoft irrefiftibie effect of regularity may be
very juftly inferred from hence; and not lefs juftly,
the