# ^^Calcolo geometrico, algebra geometrica. Storia.

Calcolo geometrico, algebra geometrica.

- Nel caso dei rettangoli, si risale a Euclide,
Book2. Proposition1.
- 1679 Leibniz envisions Linear Algebra
- 1827 Barycentric calculus. Möbius
(1790-1868)
- 1832 Calcolo delle equipollenze. Giusto
Bellavitis (1803-1880).
- 1888 Calcolo geometrico. Peano (1858 -
1932).

L'algebra iineare e' un calcolo geometrico sui segmenti orientati.

## Leibniz envisions Linear Algebra in 1679

Gottfried Wilhelm Leibniz (1646-1716), German polymath.

Christiaan Huygens (1629-1695), Dutch mathematician, astronomer, physicist.

Leibniz to Huygens on September 8, 1679:

I am still not satisfied with algebra ... I believe that, so far as geometry is
concerned, *we need still another analysis which is distinctly geometrical or
linear* and which will express *situation* directly as algebra expresses
*magnitude* directly. ...

I believe that by this method one could treat mechanics almost like
geometry, and one could
even test the qualities of materials ...

I have no hope that we can get very far in physics until we have found such
a method ...

Leibniz never discovered the “new method” he was envisioning.

His letter to Huygens was published in 1833, and hence had little influence
on the historical development.

ref: Foundations of Linear Algebra history.pdf

## Denominare

space analysis, geometric analysis
nella visione di Leibniz.

Geometric algebra e' come la chiamo'
Clifford.