Maria Gaetana Agnesi was an Italian mathematician, linguist, and philosopher born in 1718 in Milan. She wrote the first book containing an integral and differential account and was an honorary member of the Bologna University. At age 9, she delivered a 1-hour speech in Latin at an academic gathering on women's right to education. By age 15, she led philosophical discussions with Bologna's most educated citizens. She is most known for describing the "Witch of Agnesi" curve in her textbook, which became its name due to a translator's mistake. The surface area under the curve is πa2 and four times the area of a diameter circle.

1. Maria Gaetana Anjezi

2. • Maria Gaetana Agnesi (born
May 16, 1718 in Milan - died
January 9, 1799 in Milan) was
an Italian mathematician,
linguist and philosopher, and is
also known for her
humanitarian work. She wrote
the first book containing an
integral and differential
account. She was an honorary
member of the Bologna
University.

3. • At the age of nine, she wrote and
delivered a speech in Latin for an hour
at an academic gathering.
• The topic of her presentation was the
right woman to education.
• At the age of fifteen, her father began
to gather in her home a circle of the
most educated people in Bologna,
before which she read and clarified a
series of theses about the most fragile
philosophical questions.
• Records of these gatherings can be
found in the book Lettres sur l'Italie.
Biography

4. • Maria Agnesi wrote a very successful textbook in which, for example
from analytic geometry, she took a geometric display of a cubic curve
whose equation is:
• This curve was even earlier known to mathematicians Ferma and Grandi, who
constructed the curve. In view of the shape of the curve, he called it „la versiera“,
which in Latin means "rope returning the core". However, the translator of
Agnesi‘s book, by mistake, replaced the word la versiera with the word
l'aversiere, which means "the devil of women", that is, the witch. Since then, this
curve is known as the Witch of Agnesi.
𝑦 =
𝑎 𝑎 − 𝑥
𝑥

5. Curve „Witch of Agnesi“

6. Knowers of mathematical analysis certainly know that this curve in mathematics is called the Witch of Agnesi, that is to
say, in honor of that curve it is called „Agnesi‘s curl". The surface area of ​​the plane below the graphs of this curve and x
axis is π𝑎2
and is four times the area of ​​the diameter circle a.