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Manuscript Margin Image Area Ratio Tool

Calculate manuscript margin image area ratio from explicit caller-supplied inputs.

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Description

Return available manuscript margin and image-to-margin ratio.

Artwork measurements distinguish physical dimensions, projected regions and scale conventions. Length, area and volume change with different powers of a scale, while frame overlaps and crop geometry depend on which boundaries were measured. A numerical fit does not identify an artwork or establish its historical interpretation.

Return available manuscript margin and image-to-margin ratio.

When to use this tool

Use Manuscript Margin Image Area Ratio when checking the stated artwork dimension, crop, frame or scale relation.

How to use the tool and how it works

  1. Enter pageArea, imageArea, excludedMargin. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read availableMargin, imageToMargin. Use the output convention below.

Return available manuscript margin and image-to-margin ratio. Require nonnegative image/excluded areas and pageArea > their sum; availableMargin = page-image-excluded, ratio = image/availableMargin.1

Input fieldMeaning and unitsAccepted input
pageAreaPage AreaRequired. Finite number.
imageAreaImage AreaRequired. Finite number; minimum 0.
excludedMarginExcluded MarginRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
availableMarginAvailable MarginRequired. Finite number.
imageToMarginImage To MarginRequired. Finite number.
json
{
  "input": {
    "pageArea": 100,
    "imageArea": 40,
    "excludedMargin": 10
  },
  "output": {
    "availableMargin": 50,
    "imageToMargin": 0.8
  }
}

Limitations and assumptions

  • The margin definition and exclusions are supplied; no page segmentation, interpretation or source authenticity is verified.
  • 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

Inspect the original object, measured boundaries and appropriate complete geometry or catalog record for physical or historical conclusions.

References

  1. Calculation and input contract: art-history/manuscript-margin-image-area-ratio — tool.io

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