Poinsot's construction is an elegant geometrical method for visualizing the torque-free motion of a rotating rigid body.
Galileo himself used geometrical methods to express his results.
Euclid, the Greek mathematician, produced a more abstract geometrical method around 300 BC.
The second point is that Spinoza had no delusions about the conclusiveness of the geometrical method.
Hipparchus devised a geometrical method to find the parameters from three positions of the Moon, at particular phases of its anomaly.
In 1896, he presented his geometry of numbers, a geometrical method that solved problems in number theory.
Star counts are bookkeeping surveys of stars and the statistical and geometrical methods used to correct the survey data for bias.
He studied an extensive range of mathematical physics problems, but his best known work revolved around using geometrical methods in general relativity.
The geometrical methods of ruler and compass may be used to solve any linear or quadratic equation.
However, the geometrical method used by Newton to prove the result is quite complicated.