Calcolo geometrico, algebra geometrica.
L'algebra iineare e' un calcolo geometrico sui segmenti orientati.
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
Geometric algebra e' come la chiamo' Clifford.