Not unconnected.
Optics was giving everyone the idea of focal power as a smoothly detailed look. Newton and Halley, evidently, responded with a grammar for always divisible grids on an atlas. That grammar required models that could focus to points, leaving the world with a new tool for making atlases. The inertial frame was born, and it was just another calculating tool, hence the name, calculus.
Halley in observing the comet would have tried to plot the comet on a plane supporting the oval orbit. Then in finding on portion of the ellipse by telescope, he could construct the using symmetry. He knew time was conserved about the point of symmetry, and could get the orbital time, even plot the thing on an atlas. This was reliable because ever increasing telescope power would make smaller triangles and Newton;'s grammar could show convergence in a point source model, always divisible grid model.
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