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C1047 — Eliminate the generated common point

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Study sequence: Covenant and cumulative clutch source model (C1032–C1057) · Covenant, clutch & carriers

C1047 — Eliminate the generated common point

Question

How many source constraints are added by two routes to one landing?

Inputs

{}

Sources

[
  "C1040",
  "C1041"
]

Opened utc

2026-09-28T04:06:06.493211+00:00

Results

{
  "unknowns": [
    "Q",
    "Levi_radius",
    "Joseph_radius",
    "common_point"
  ],
  "two_route_rank": 2,
  "eliminated_relation": "J·Levi_radius=E·Joseph_radius, equivalently13w=12u",
  "interpretation": "one equation defines the point; one tests agreement"
}

Finding

Adding 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.

Reassessment

Model the complete phase/clutch field before imposing its numerical source equalities.

Checks

{
  "two_equations": true,
  "primitive_ratio": true
}

Closed utc

2026-09-28T04:06:06.493741+00:00

Record provenance

Exact record hash: 9e8bf7f6ecf7f0c899d3dbbc84f261853fa1247fbbd00b59961edc0dddd23168

Source journal: Research_Cycles/C0932_C1131/journal.json

Edition and provenance

C1047.md

SHA-256 13cef539dde75f1f3c3f954fd47dcc40920e497f8bc7fd9132c175ee81d82eed

C480–C1634/Research_Cycles/C0932_C1131/journal.json#C1047