D O C U M E N T 2 2 2 C A L C U L A T I O N S 3 7 5 222. Calculations [Berlin, after 14 March 1926][1] a2z2 b2( x2 y2) + – 0 = x z -- a b -- - tgϕ = = Richt Cos a2z:( –b2x):( –b2y) = Kreis x2 y2 + a2 b2 ---- -z0 2 A2 = = x Acosα = y Asinα = z b2 a2 ---- - x2 y2 + b2-A a2 ---- cotϕA = = = Richt Cos Ab2 A2( 1 2ϕ) cot + -------------------------------------- - = 0 Acotϕα2 Acot ϕ 0 A Acosαb2 A 1 cotϕ – ----------------------------- A sinab2 Acotϕα2 Acos α cotϕ 0 A cosψ 2ϕ cosαcot 1 2ϕ cot + -------------------------- - 2ϕ cos cosα = = 1 cosψ – 2 2 2 2) sin – cos ( – sin + cos = ψ 2 ---- 2sin 2 ψ 2 --- - 1 α 2ϕ coscos –= 2sin 2 ψ 2 --- - 1 1 2 -- - cosα –= 2--- ψ 2 - sin 1 1 2 -- - cosα –= 2--- ψ 2 - sin 1 2 -- - = ψ 2 - sin--- 1 2 ------ - 0 7 ,≈ = ψ 2 --- - 45° = ψ 90° =