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Handbook of chemistry and physics (1913)

Veazey, William Reed, 1883- ed, Hodgman, Charles David, 1881- ed, Chemical Rubber Company · Cleveland, Chemical Rubber Pub. Co. [etc.] · leaf 314

An illustration from Handbook of chemistry and physics, 1913, leaf 314
semi-axes a and h: a2 62Polar equation, pole at center: «262 r- a2 sin2 0 — 62 cos2 d 304 HYPERBOLIC FUNCTIONS Definitions An hyperbolic functionrepresents a relation be-tween the coordinates of ?,given portion on the arcof a rectangular hyperbola. If O is the center, A thevertex, and P any point… … sinh u = kC^^ cosh u = ^(e -H e-^) = 1 + 2~| + 4I ^ * * * , , u* , 2u^ 17m , tanh u = u — 5- + —z -^^-=- + • • • 3 lo 315 . , , 1 w^ , 1 • 3 m5 1 • 3 • 5 w^ sinh- u=M-2--3-+2T4T- 2T4T6 T sinh lu =log2u +^.^, -^f^.—+ (u^ < i^^)- + 2 2w2 2-4 4m^1-So J_2 • 4 • 6 ■ 6^6 1-3 1 cosh-i M =: log 2m - I .…

Chemistry · Physics

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