{"id": "c1047", "title": "C1047 — Eliminate the generated common point", "filename": "C1047.md", "role": "Research action", "step": 1047, "sha256": "13cef539dde75f1f3c3f954fd47dcc40920e497f8bc7fd9132c175ee81d82eed", "bytes": 1151, "origins": ["C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1047"], "download": "/sources/13cef539dde75f1f3c3f954fd47dcc40920e497f8bc7fd9132c175ee81d82eed.md", "format": "md", "derived": true, "tags": ["Covenant", "Counts & NT"], "excerpt": "How many source constraints are added by two routes to one landing?", "content": "# C1047 — Eliminate the generated common point\n\n## Question\n\nHow many source constraints are added by two routes to one landing?\n\n## Inputs\n\n```json\n{}\n```\n\n## Sources\n\n```json\n[\n  \"C1040\",\n  \"C1041\"\n]\n```\n\n## Opened utc\n\n2026-09-28T04:06:06.493211+00:00\n\n## Results\n\n```json\n{\n  \"unknowns\": [\n    \"Q\",\n    \"Levi_radius\",\n    \"Joseph_radius\",\n    \"common_point\"\n  ],\n  \"two_route_rank\": 2,\n  \"eliminated_relation\": \"J·Levi_radius=E·Joseph_radius, equivalently13w=12u\",\n  \"interpretation\": \"one equation defines the point; one tests agreement\"\n}\n```\n\n## Finding\n\nAdding a common-point coordinate introduces one generated quantity and one agreement condition. The two displayed landings should not be counted as two independent source constraints.\n\n## Reassessment\n\nModel the complete phase/clutch field before imposing its numerical source equalities.\n\n## Checks\n\n```json\n{\n  \"two_equations\": true,\n  \"primitive_ratio\": true\n}\n```\n\n## Closed utc\n\n2026-09-28T04:06:06.493741+00:00\n\n## Record provenance\n\nExact record hash: `9e8bf7f6ecf7f0c899d3dbbc84f261853fa1247fbbd00b59961edc0dddd23168`\n\nSource journal: `Research_Cycles/C0932_C1131/journal.json`", "journalDownload": "/sources/f6bdc7aaaaa4fd40f1151b367204ddee7f0f9b77a9c43ae8764831b52d862670.json"}