Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 66
ithout the circle. Join A and the centre C, and on A Cas a d.ameter, describe a circumference.Ihrough ihe points B and D wherethe two circumferences intersect eachother, draw the lines AB and AD:these lines will be tangent to the circle»vhose centre is C. For, since the angles ABC andADC are each… … PROBLEM XIX To inscribe a circle in n given triangle. Let ABC be the given tri-angle. Bisect the angles A and Bby the lines AO and BO, meet-ing at the point 0. From O,let fall the perpendiculars OD,OE, OF, on the three sides ofthe triangle—these perpendiculars will be equal to each other. For, in…
Geometry · Plane trigonometry
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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-217-133.webp)
