^^Calcolo geometrico, algebra geometrica. Storia.

Calcolo geometrico, algebra geometrica.


  1. Nel caso dei rettangoli, si risale a Euclide, Book2. Proposition1.
  2. 1679 Leibniz envisions Linear Algebra
  3. 1827 Barycentric calculus. Möbius (1790-1868)
  4. 1832 Calcolo delle equipollenze. Giusto Bellavitis (1803-1880).
  5. 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



space analysis, geometric analysis  nella visione di Leibniz.

Geometric algebra e' come la chiamo' Clifford.