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Geometric derivation of the magnification formula.
[magnify]
Similar triangles. The magnification formula.
| M = | hi | = | di |
| ho | do |
Geometric derivation of the spherical mirror formula.
[magnify]
Magnification equation, similar triangles.
| M = | hi | = | di | = | f |
| ho | do | do − f |
cross multiply, distribute, collect like terms.
| di(do − f) | = | dof |
| dido − dif | = | dof |
| dido | = | dif + dof |
Divide by didof.
| dido | = | dif | + | dof |
| didof | didof | didof |
Simplfy. The spherical mirror formula.
| 1 | = | 1 | = | 1 |
| f | do | di |
uh huh, fried taters