Description
Measure a supplied planar research landmark chord without treatment planning.
Dental models distinguish lengths along a curve, straight landmark distances, signed midline offsets, and supplied material budgets. Each calculation needs an explicit coordinate frame, unit, and reference convention. A geometric term can describe a model without establishing an appropriate treatment or device.
Measure a supplied planar research landmark chord without treatment planning.
When to use this tool
Use Arch Landmark Chord Length when you need this model-space, landmark, midline, or material-budget component from supplied dimensions.
How to use the tool and how it works
- Enter firstX, firstY, secondX, secondY. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read length. Use the output convention below.
Return length=hypot(secondX-firstX,secondY-firstY).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| firstX | First X | Required. Finite number. |
| firstY | First Y | Required. Finite number. |
| secondX | Second X | Required. Finite number. |
| secondY | Second Y | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| length | Length | Required. Finite number. |
{
"input": {
"firstX": 1,
"firstY": 2,
"secondX": 4,
"secondY": 6
},
"output": {
"length": 5
}
}Limitations and assumptions
- Coordinates need one planar frame and length unit. This is straight chord distance, not a curved arch length, three-dimensional surface distance, or clinically validated landmark measurement.
- 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
Use calibrated model measurements and a suitable full geometry or material model when one term is insufficient. Verify units, coordinate frames, shape assumptions, and reference conventions before comparing results.
References
Similar or alternative tools
- Arch Landmark Reader Sign Gap
Compare supplied reader coordinates after explicit sign normalization.
- Arch Model Segment Curve Chord Gap
For nonnegative radius and abs(angleRadians)<=2*pi return arcLength=radius*abs(angle), chordLength=2*radius*sin(abs(angle)/2), and excess=arcLength-chordLength.