Description
Return repeated quarter-section nominal and retained areas.
Historical and archival records distinguish source labels, local grid conventions, edition numbers and validity periods. A parsed token or geometric area term cannot establish provenance, historical identity or land rights. Date endpoints, text-counting units and numbering origins must match the original record.
Return repeated quarter-section nominal and retained areas.
When to use this tool
Use Us Historical Quarter Section Fraction when checking the stated archival record, grid, edition or validity-period convention.
How to use the tool and how it works
- Enter parentArea, quarterSteps, retainedFraction. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read nominalArea, retainedArea. Use the output convention below.
Return repeated quarter-section nominal and retained areas. Require parentArea >= 0, whole quarterSteps 0..128 and retainedFraction in [0,1]; nominal = parent/4^steps, retained = parent*fraction/4^steps.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| parentArea | Parent Area | Required. Finite number; minimum 0. |
| quarterSteps | Whole recursive quartering count, 0..128; nominal area uses 4^(-quarterSteps). | Required. Safe integer; minimum 0; maximum 128. |
| retainedFraction | Retained Fraction Unit: 1. | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| nominalArea | Nominal Area | Required. Finite number. |
| retainedArea | Retained Area | Required. Finite number. |
{
"input": {
"parentArea": 640,
"quarterSteps": 2,
"retainedFraction": 1
},
"output": {
"nominalArea": 40,
"retainedArea": 40
}
}Limitations and assumptions
- This ideal subdivision is not a cadastral survey, verified parcel boundary or land-rights determination.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Consult the original archive, survey and applicable authority for historical interpretation, provenance or actual property rights.
References
Similar or alternative tools
- Public Township Section Index
Return section position in a supplied township grid.
- American Historical Land Section Fraction Label Tool
Label an explicitly supplied fractional section reference without locating a parcel or assigning its surveyed area.