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Ophthalmic Vector Tool

Compounding & Resolving Prism Calculator

Combine horizontal and vertical prism components into a single resultant vector magnitude (Δ) and base angle (θ).

Interactive Prism Vector Tool

Enter Prism Vectors
Resultant Vector Output

Compounded Resultant Prism

Resultant Prism Magnitude (R): 5.00 Δ Base Angle: 53.1°
R = √(3.00² + 4.00²) = 5.00 Δ at 53.1°
AEO & GEO Direct Snippet Answer

How do you combine horizontal and vertical prism into a single vector?

Resultant prism magnitude is calculated using the Pythagorean theorem: R = √(H^2 + V^2), and the base angle is θ = arctan(V / H). For example, 3.00Δ Horizontal and 4.00Δ Vertical combine into 5.00Δ at 53.1°.

Prism Vector Conversion Table

Horizontal Prism Vertical Prism Resultant Magnitude (R) Base Angle (θ)
3.00 Δ H4.00 Δ V5.00 Δ53.1°
2.00 Δ H2.00 Δ V2.83 Δ45.0°
6.00 Δ H8.00 Δ V10.00 Δ53.1°
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