= Carl Friedrich Gauss
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<Carl Friedrich Gauss> (1777–1855) connected <number theory>, <geometry>, <astronomy> and <measurement>. His work on <quadratic reciprocity> and the straightedge-and-compass construction of the regular 17-gon made concrete arithmetic structure control a geometric construction. His prediction of the position of <Ceres> from a short observed orbital arc helped recover the object in 1801, showing why <orbit determination> and <least squares> belonged together.https://mathshistory.st-andrews.ac.uk/Biographies/Gauss/[University of St Andrews, MacTutor biography, sections on the17-gon, Disquisitiones Arithmeticae and recovery of Ceres]{ref}
The <least squares> viewpoint illustrates the bridge: observations rarely satisfy every model equation exactly, so one selects parameters minimizing a sum of squared discrepancies. In <differential geometry>, <Gaussian curvature> instead detects an intrinsic property of a <surface>. These contributions link discrete arithmetic questions, continuous geometry and inference from imperfect observations.
\Image[https://commons.wikimedia.org/wiki/Special:Redirect/file/Carl%20Friedrich%20Gauss.jpg?width=250]
{title=Portrait of <Carl Friedrich Gauss>}
{description=Gottlieb Biermann (1887), after Christian Albrecht Jensen's 1840 Gauss portrait; Gauß-Gesellschaft Göttingen e.V., photograph A. Wittmann. Public domain (Commons PD-Art / life+100; faithful reproduction). Source and usage information on the linked Wikimedia file page.}
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{width=250}
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