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Euclid

Euclid of Alexandria was a Greek mathematician active in the city of Alexandria during the early Hellenistic period. He is often regarded as the father of geometry for his central role in organizing geometric knowledge into a formal, deductive system.

His most celebrated work, Elements, is a comprehensive compilation of geometric propositions and number theory arranged

The influence of Euclid’s Elements extends beyond geometry. It shaped the development of deductive reasoning in

Details about Euclid’s life are sparse; he is traditionally placed as active around 300 BCE in Alexandria,

into
a
coherent
axiomatic
framework.
The
Elements
presents
definitions,
postulates,
and
common
notions
used
to
derive
theorems
by
logical
deduction,
including
the
parallel
postulate,
which
addresses
the
nature
of
lines
and
parallels.
The
work
emphasizes
the
axiomatic
method
and
the
use
of
proofs
to
establish
mathematical
truths,
and
it
became
the
standard
reference
for
teaching
geometry
for
many
centuries.
mathematics
and
served
as
a
foundational
text
for
science
and
education
in
the
medieval
and
early
modern
worlds.
In
addition
to
the
Elements,
Euclid
is
associated
with
the
Euclidean
algorithm
for
computing
greatest
common
divisors,
illustrating
his
contributions
to
arithmetic
as
well
as
geometry.
but
precise
dates
are
uncertain.
The
term
Euclidean
geometry
and
the
enduring
axiomatic
approach
to
proof
reflect
his
lasting
legacy
in
mathematics.