elementsofgeomet00play.pdf

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ELBMBM'TS
OP
GEOMETRY:
OOM-TAZKZirG
THB
FIRST
SIX
BOOKS
OF
SUCLID;
WITH
A
SUPPLEMENT
ON
THE
QUADRATURE
OF
THE
CIRCLE
AND
THE
GEOMETRT
OF
SOLIDS
5
TO
WJhULOH:
ILBH
ILDJUaS^
OF
PLANE
AND
SPHERICAL
TftiaONOMETRir.
BY
JOHN
PLAYFAIR,
F.
R.
S.
Lond.&Edin.
Piofessor
of
Natural
Philosophy,
formerly
of
Mathematics,
in
the
University
of
Edinbur"]!.
TIR^T
PHILADELPHIA,
FROM
THE
LAST
LONDON
EDITION,
ENLARGED:
PHZXi
AJ>X!i:.PHXA
PUBLISHED
BY
MAROT
&
WALTERij
No.
87,
Market-street.
Printed
at
No.
24,
Arch-»trekt.—
A.
Walker,
A^,
1826.
i:^i\^*x
PREFACE.
It
is
a
remarkable
fact
in
the
history
of
science,
that
the
oldest
sidered
as
book
of
Elementary
Geometry
is
still
con-
the
best,
and
that
the
writings
of
Euclid,
at
to
the
the
distance
of
two
thousand
years,
continue
to
form
the
most
approved
introduction
mathematical
sciences.
This
remarkable
tions,
distinction
the
Greek
Geometer
owes
not
only
to
the
elegance
and
correctness
of
his
demonstra-
but
to
an
arrangement
most
happily
contrived
for
;
the
purpose
of
instruction
advantages
which,
when
they
even
reach
a certain
eminence,
secure
the
works
of
an
author
against
the
injuries
of
time,
originality
of
invention.
more
effectually
than
The
elements
of
Euclid,
how-
ever,
in
passing
through
the
hands
of
the
ancient
editors,
during
the
decline
of
science,
had
suifered
some
diminu-
tion
pf
their
excellence,
and
much
skill
and
learning
have
been
employed
by
the
modern
mathematicians
to
deliver
them
from
blemishes,
which
certainly
did
not
enter
into
their
original
composition.
Of
these
mathematicians,
Dr,
last,
little
Simson,
as
he
may
be
accounted
the
the
most
successful,
and
has
left
very
has
also
been
room
in,
for
the
ingenuity
of
future
editors
to
be
exercised
either
by
amending
the
text of
Euclid,
or
by
improving
the
tions
transla-
from
it.

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