  We present a projective framework for the construction of Integration by
Parts (IBP) identities and differential equations for Feynman integrals,
working in Feynman-parameter space. This framework originates with very early
results which emerged long before modern techniques for loop calculations were
developed. Adapting and generalising these results to the modern language, we
use simple tools of projective geometry to generate sets of IBP identities and
differential equations in parameter space, with a technique applicable to any
loop order. We test the viability of the method on simple diagrams at one and
two loops, providing a unified viewpoint on several existing results.

High Energy Physics - Phenomenology;High Energy Physics - Theory