s complement,as was to be proved. 3 t, The fecant of an arch added to the tangent of the famearch, is the tangent of that arch, and of half his complement added together. Dcmonftration. In this Diagram the angles A K E and BAG are equal, forB A C is the complement of CAE, and equal to theangle… … Trigonometi in Bntanwea, 34 The difference between the fecantof an arch and the tangent of the fame arch is equalthe tangent of half the complement.
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-68-46.webp)
