3. ARYABHATA (SANSKRIT: आर्यभर्यभट (476–550
CE)WAS THE FIRST IN THE LINE OF GREAT
MATHEMATICIAN-ASTRONOMERS FROM THE
CLASSICAL AGE OF INDIAN MATHEMATICS
AND INDIAN ASTRONOMY. HIS WORKS
INCLUDE THE RYABHA YAĀ ṭĪ (499 CE, WHEN
HE WAS 23 YEARS OLD)AND THE ARYA-
SIDDHANTA.
THE WORKS OF ARYABHATA DEALT WITH
MAINLY MATHEMATICS AND ASTRONOMY. HE
ALSO WORKED ON THE APPROXIMATION FOR
PI.
4. Zero is
important
because it is a
way to describe
nothing
It also is
important
because it helps
to show what
negative
number are
Made model of
the solar
system where
the sun was the
center
5. He found out how
many days are in
a year.
He figured out
how long a day
was
Found the earths
circumference or
the distance
around the earth.
6. Aryabhata is the author of several treatises
on mathematics and astronomy, some of which
are lost.
His major work, Aryabhatiya, a compendium of
mathematics and astronomy, was extensively
referred to in the Indian mathematical
literature and has survived to modern times.
The mathematical part of the Aryabhatiya
covers arithmetic, algebra, plane
trigonometry, and spherical trigonometry. It
also contains continued fractions, quadratic
equations, sums-of-power series, and a table
of sines.
7. ApproximAtion ofApproximAtion of ππ
Aryabhata worked on the approximation for piAryabhata worked on the approximation for pi
(), and may have come to the conclusion that is(), and may have come to the conclusion that is
irrational. In the second part of theirrational. In the second part of the
AryabhatiyamAryabhatiyam (ga itapāda 10), he writes:ṇ(ga itapāda 10), he writes:ṇ
caturadhikam atama agu am dv a istathś ṣṭ ṇ āṣ ṣṭ ācaturadhikam atama agu am dv a istathś ṣṭ ṇ āṣ ṣṭ ā
sahasr māṇāsahasr māṇā
ayutadvayavi kambhasy sanno v ttapari haṣ ā ṛ ṇā ḥayutadvayavi kambhasy sanno v ttapari haṣ ā ṛ ṇā ḥ..
"Add four to 100, multiply by eight, and then add"Add four to 100, multiply by eight, and then add
62,000. By this rule the circumference of a circle62,000. By this rule the circumference of a circle
with a diameter of 20,000 can be approached."with a diameter of 20,000 can be approached." [15][15]
This implies that the ratio of the circumference toThis implies that the ratio of the circumference to
the diameter is ((4 + 100) × 8 + 62000)/20000the diameter is ((4 + 100) × 8 + 62000)/20000
= 62832/20000 = 3.1416, which is accurate to five= 62832/20000 = 3.1416, which is accurate to five
significant figures.significant figures.
