Bürgi's Kunstweg to Calculate Sines

05092022, 01:48 AM
Post: #3




RE: Bürgi's Kunstweg to Calculate Sines
(05082022 01:19 PM)Thomas Klemm Wrote: We can therefore describe the double difference operation with the matrix \( \Delta \): Asymmetry of matrix, [2,1] top, [2,2] bottom , we should match edge cases coefficients. Lower bound, α = β, sin(αβ) = sin(0°) = 0 Δ² = sin(α+β)  2 sin(α) + sin(αβ) = dot([sin(α), sin(α+β)], [2, 1]) Upper bound, α = 90°, sin(α+β) = sin(αβ) = cos(β) Δ² = sin(α+β)  2 sin(α) + sin(αβ) = dot([sin(αβ), sin(α)], [2,2]) Quote:Note: What appeared to be simple turned out to be a problem. Another way is to click QUOTE, copy raw matrix data (with tabs), then paste to Free42 

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Messages In This Thread 
Bürgi's Kunstweg to Calculate Sines  Thomas Klemm  05072022, 11:31 AM
RE: Bürgi's Kunstweg to Calculate Sines  Thomas Klemm  05082022, 01:19 PM
RE: Bürgi's Kunstweg to Calculate Sines  Albert Chan  05092022 01:48 AM
RE: Bürgi's Kunstweg to Calculate Sines  Albert Chan  05092022, 04:55 PM

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