Manning, Henry Parker, 1859- · Boston, U.S.A., Ginn & Company · leaf 95
From the right triangle ABC, if b remain fixed, we get, bydifferentiating the equation cos B sin .4 = cos b 84 NON-EUCLIDEAN GEOMETRY (II.) dB = -eoscdA. … Thus, we have for differential formulae in polar coordinatesds2 = dp2 + sin2 pdd*, tan d> = sm p — >r dp * If ^ is constant, as in the logarithmic spiral of Euclidean Geometry,we can integrate this equation; namely, tan <p —— = d$.snip .-. tan <p log tan - = 6 + c, Writings for…
Geometry, Non-Euclidean
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