Elements of mechanics: for the use of colleges, academies, and high schools (1859)
Peck, William G. (William Guy), 1820-1892 · New York, A. S. Barnes & Burr · leaf 201
, to move in the direction of thetangent A T; but, in consequence ofthe action of the centripetal force di-rected towards V, it is constrained todescribe the side ds in the time dt. If we draw BG parallel to AT, it.will be perpendicular to thediameter AB, and AC will represent the space… … AC =ifctf (122.) From a property of right-angled triangles, we have, sinceAB = ds, ds = AC x AB ; or, ds* = AC X 2r.Whence, AC= — •2r Substituting this value of AC in (122), and solving withrespect to /, f ~ ~d? X - 1r CURVILINEAR AND ROTARY MOTION. 199 ds*But — = v2 (Art. 113), in which v denotes…
Mechanics
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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-400-277.webp)
