We publish our audit record because accuracy claims should be checkable. Every entry on this site runs through an automated fact-audit pipeline (accuracy audit → source-grounded repair → visual QA); this page is generated from that pipeline's own report, not written by hand.
Last full accuracy audit: 2026-09-08 · 31 entries checked · 9 flagged · 16 issues confirmed · 9 corrected · 7 still open
Solid geometry — The claim that 'the pyramid, prism, cone, and cylinder were not examined until the time of the Platonists' is inaccurate; the pyramid and cylinder were studied earlier by Egyptians, Babylonians, and pre-Platonic Greeks.
Solid geometry — The claim that Eudoxus established how to measure the cone's volume (one-third of a cylinder) is oversimplified; the rigorous proof for the cone's volume is more commonly attributed to Archimedes, not solely to Eudoxus.
Scaling (geometry) — The entry lists 'projection' and 'reflection' as types of scaling, which is incorrect; projection and reflection are distinct linear transformations, not subtypes of scaling.
Scaling (geometry) — The entry states that a scale factor of zero is within the scale_factor_range; a scale factor of zero collapses the object to a point, which is a degenerate case not typically considered a valid scaling transformation in standard geometry.
Space (mathematics) — The entry states that 'the sum of a triangle's angles depends on the triangle and is always less than 180 degrees' in hyperbolic geometry. This is correct for hyperbolic geometry, but the entry also implies this is the only non-Euclidean geometry mentioned; ho
Symmetry (geometry) — The statement incorrectly claims that point reflection is called 'left-right symmetry'; that term typically refers to mirror symmetry across a plane, not point reflection.
Tangent — The entry states 'Archimedes found the tangent to an Archimedean spiral by considering the path of a moving point along the curve.' This is misleading; Archimedes did not use a kinematic method in the modern sense—he used a geometric method involving the spira
Three-dimensional space — Isaac Newton did not introduce the polar coordinate system; it was developed earlier by Bonaventura Cavalieri and later formalized by Jakob Bernoulli and others.
Volume — Euclid's Elements did not give formulas in the modern algebraic sense and did not use primitive integration; it used the method of exhaustion.
Volume — Archimedes used the method of exhaustion to derive exact ratios, not approximate formulas; the story about the crown involves water displacement, not a hydrostatic balance.
Polyhedron — The Monte Loffa dodecahedron is a Roman dodecahedron made of bronze, not an Etruscan dodecahedron made of soapstone.
Polyhedron — Louis Poinsot discovered two additional regular star polyhedra (the great dodecahedron and great icosahedron) in 1809, completing the set of four Kepler–Poinsot polyhedra; he did not 'prepend' them.
All content is fetchable as JSON at /data/content/ · llms.txt · sitemap
Spotted an error? Suggest an edit — reader reports go straight into the audit queue.