# C1047 — Eliminate the generated common point

## Question

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

## Inputs

```json
{}
```

## Sources

```json
[
  "C1040",
  "C1041"
]
```

## Opened utc

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

## Results

```json
{
  "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

```json
{
  "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`