Bernoulli_Jacob
# Jacob (Jacques) Bernoulli

### Born: 27 Dec 1654
in Basel, Switzerland

Died: 16 Aug 1705
in Basel, Switzerland

Show birthplace location

**Jacob Bernoulli** was the first to use the term integral. He studied the catenary, the curve of a suspended string. He was an early user of polar coordinates and discovered the isochrone.

Jacob Bernoulli was the brother of Johann Bernoulli and the uncle of Daniel Bernoulli. He graduated with a theology degree from Basel in 1676. He received training in mathematics and astronomy against the wishes of his parents.
Between 1676 and 1682 Jacob travelled widely in France, England and the Netherlands. He met Boyle and Hooke in England.

Jacob returned to Switzerland and taught mechanics at the University in Basel from 1683. He was appointed professor of mathematics in Basel in 1687.

Jacob was the first to use the term integral in 1690. In 1691 he studied the catenary, the curve of a suspended string.

He was an early user of polar coordinates and discovered the isochrone, the curve along which a body with uniform vertical velocity will fall.

In a mathematical dispute with his brother Johann he invented the calculus of variations. He also worked on probability theory. The Bernoulli distribution, the Bernoulli differential equation and the Bernoulli numbers are named after Jacob Bernoulli.

Jacob published many articles on infinite series

On his death his chair at Basel was filled by his brother Johann Bernoulli.

**References (17 books/articles)**

**A page from a work by Jacob Bernoulli:**

The title page of *Ars conjectandi * (1713).

**References elsewhere in this archive:**

Show me the Bernoulli family tree

Tell me about Jacob Bernoulli's role in the development of the calculus

Tell me about Bernoulli numbers and their role in Fermat's Last Theorem.
Tell me more about Jacob Bernoulli's contribution to Elliptic functions.

Among the curves that Jacob Bernoulli worked on were the Cassinian Ovals, the Catenary, the Cycloid, the Epicycloid, the Equiangular spiral, the Hypocycloid and of course, the Lemniscate which is now named after him.

There is a **Crater Bernoulli** on the moon (which is named after this mathematician and Johann Bernoulli). You can see a list of lunar features named after mathematicians.

**Other Web sites:**

Rice University, USA

Clarke University, USA

JOC/EFR December 1996