Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 230
alf the arc. 1T From eight times the chord of half the arc, subtract thechord of the whole arc, and divide the remainder by 3, and thequotient will be the length of the arc, nearly. EXAMPLES. 1. The chord AB = 30 feet, and theradius AC=20 feet: what is thelength of the arc ADB ? First draw CD… … Again,hencejThen, ^D = yjlP2+PD2 = y225 + 45.859984AD = 16.4578 = chord of the half arc. l6-±578*8-3° = 33.8874 = arc ADB. 20 230 APPLICATIONS Mensuration of Surfac 2 What is the length of an arc the chord of which is 24feet, and the radius of the circle 20 feet ? Ans. 25.7309 jt. 3. The chord of…
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-194-115.webp)
