The conundrum of Dark Matter coupled with the discovery in 1998 that the universe is paradoxically accelerating its expansion has led some cosmologists to question the correctness of the non-Euclidean geometric theory of gravity, General Relativity. In the 17th century, there was also a great paradox between two views for the geometric constituents of a line, heterogeneous (made of points) versus homogeneous (made of infinitesimal segments). Evangelista Torricelli, a protege of Galileo, elucidated his logical reasoning on why lines must be made of segments and not points and created one particular fundamental example among many. In this paper, I produce unknown corollaries to Torricelli's argument allowing me to falsify the relationship between infinitesimals and the Archimedean axiom, resolve L'Hopital's paradox, rewrite the Fundamental Theorem of Calculus and derive Gaussian curvature. I hypothesize that the intractability of Dark Energy and Dark Matter is due to the points of coordinate systems within General Relativity actually being a logically flawed heterogeneous interpretation with basis vectors as a stand-in for the properties of homogeneous infinitesimals. I propose a novel but geometrically logical model for gravity based on the changing area of ``surfaces" that suffers from no Cosmological Constant but can model red-shift of light. I present hypothetical arguments to demonstrate that there is sufficient compelling similarities to support the investigation of rewriting Euclidean/non-Euclidean geometry, the Calculus and all the laws of physics with axiomatic homogeneous infinitesimals of three components that each follow the theory of proportionality. They are relative cardinality, homogeneous infinitesimal and lastly their sum.