A transposition check before manufacture
An optical order records the distance prescription as+2.00-2.00×90. A laboratory requests the equivalent plus-cylinder representation. The learner changes only the cylinder sign and leaves the sphere unchanged, which would alter the meridional powers. The dispensing team must verify the calculation before manufacture and ensure the correct patient and order are being discussed. The exercise supplies an ordinary spherocylindrical representation and does not assume that a spherical-equivalent lens is an interchangeable substitute. The intended frame and wearing position also need their own measurements. An algebraically correct transposition is only one component of a complete optical job, not a guarantee that every later centering, axis, prism or mounting decision will be correct.
1. What are the original principal powers and transposed form?
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The power at 90 degrees is+2.00 D and at 180 degrees is 0.00 D. The equivalent plus-cylinder representation is 0.00+2.00×180, preserving those principal powers.
2. Why is the spherical equivalent not the same correction?
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The spherical equivalent is+1.00 D, the average of the principal powers. It does not reproduce the two different meridional powers and is not automatically an interchangeable replacement for the full prescription.