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GQM

Theme: Foundations · 3 sentences.

Full translation analysis

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GQM-001 ·

S938 ~varn nu pa-re helms 3.14159 nu pa-re Written: ~varn nu pare helms 3.14159 nu pare Approximate circumference quantity.

Notes

First running-corpus use of the full geometry quantity phrase varn nu pa-re, the anchor-inventory model for circumference quantity. Because the right side is a finite decimal, the left side is correctly hedged as ~varn nu pa-re, not bare varn nu pa-re. This extends the CVA-001 approximation rule from bare constants to complete geometry measurement phrases.

S939 worn nu pa helms bun varn nu pa Written: worn nu pa helms bun varn nu pa Exact full-turn identity.

Notes

First running-corpus use of worn nu pa (the full-turn / tau quantity). The identity is exact: the full-turn constant equals two pi-quantities of space, so helms is correct and no approximation mark belongs here. This sentence gives the geometry side of the worn = 2π relation directly in prose rather than only in anchor-inventory notes.

S940 ~valm nu pa helms 1.41421 nu pa Written: ~valm nu pa helms 1.41421 nu pa Approximate unit-square diagonal quantity.

Notes

First running-corpus use of valm nu pa, the anchor-inventory form for the diagonal of a unit square. As with S938, the decimal is finite, so the quantity is honestly approximated rather than stated as exact valm. This batch therefore gives current prose attestations for circumference, full-turn, and diagonal quantities without forcing an ungrounded area formula.

Batch Summary

Entry Form Test
S938 (GQM-001-A) ~varn nu pa-re helms 3.14159 nu pa-re approximation on full circumference quantity phrase
S939 (GQM-001-B) worn nu pa helms bun varn nu pa exact full-turn identity in prose
S940 (GQM-001-C) ~valm nu pa helms 1.41421 nu pa approximation on full diagonal quantity phrase

Key findings:

  1. Approximation scales from constants to full geometry quantity phrases. ~varn nu pa-re and ~valm nu pa are the honest forms when finite decimals stand in for irrational geometry values.
  2. Exact relations stay exact at the quantity level. worn nu pa helms bun varn nu pa preserves the exact τ = 2π relation without collapsing into display-only math.
  3. Existing geometry vocabulary is sufficient for quantity prose. The batch uses anchor-inventory and GEO-001 material directly, with no new roots or shape lexemes.
  4. Geometry can now proceed incrementally. Circle/turn/diagonal quantities are live in running prose even though a full area formula batch remains deferred.

New W-entries: none

Compositional first uses: pa-re as a full left-side geometry quantity phrase inside an identity sentence.

Generated from registry/entries.yaml.