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Corrective Lens Equation for Farsightedness

The corrective lens equation for farsightedness relates the comfortable reading distance for a person to the necessary lens power to correct it.

The difference between the reciprocals of the comfortable reading distance in normal vision and the shortest distance at which a farsighted person can read without glasses is directly proportional to the lens power or the spherical component of a lens prescription.

Formula

-QuantityVariable[Subscript["d", "min"], "Distance"]^(-1) + QuantityVariable[Subscript["d", "n"], "Distance"]^(-1) == Quantity[1, "Meters"^(-1)]*QuantityVariable["C", "OpticalPower"]

symbol description physical quantity
dmin shortest distance at which a farsighted person can read without glasses "Distance"
dn comfortable reading distance in normal vision "Distance"
C lens power "OpticalPower"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Corrective Lens Equation for Farsightedness"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject["Corrective Lens Equation for Farsightedness"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Corrective Lens Equation for Farsightedness"], {QuantityVariable[ \!\(\*SubscriptBox[\("d"\), \("min"\)]\),"Distance"] -> Quantity[50, "Centimeters"]}]
Out[3]=

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