C200 — The two 17K diagonal centers are separated by the square side

23 September 2026 · Step 45 of 50, continuing C155.

When the two diagonals are equal, the separation of their centers equals the common side width2K+δ. More generally,

The four exact squares therefore have two8993-year intervals whose centers are1058 years apart. P6 has the same8993-year diagonal widths but centers1059 apart. Equal diagonal lengths do not imply equal centers or coincident intervals.

This provides a second geometric way to read the square's side residual, without adding a historical event or changing either source diagonal. The next step places the sourced Creation/Flood interval's center between those two centers.

Evidence and scope

K=529. Positive BC base B denotes (B+1)t/Bn BC; reflected AD base A denotes AD At/(A+1)n. Their same-season civil span is B+A, after the no-year-zero correction. AD source projections are not historical AD occurrences. Generated coordinates and interval midpoints do not acquire event identity from numerical coincidence.

Regular Gears remain confined to Noah/Shem/Flood. Creation and Conquest use fixed source-field members; no fourth Gear is admitted. File_18/File_09 and the C127 graph are unchanged. C133–C155 source corrections remain controlling, with the C10 ancestry of the next-Flood-Gear rule now explicit. No historical campaign is rerun, no quarantined primer is reopened, and no N01/N03 expansion or missing Shem join is repaired. Original Reports 01–10 remain previously verified; interrupted original Reports 11–25 remain unestablished.

Sources: controlling File_18 §§2–3, 6A–6D; File_09 paired Mirror rules; selectively retained C05, C08, C10, C123, C128 and C133–C155 evidence. Specific dependencies are named in the body/certificate. 60 assertions passed; see RESULTS.json and CERTIFICATE.json. Assertions, selected field combinations and inherited identities are not independent historical witness counts.