An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)
Smith, Augustus William, 1802-1866 · New York, Harper · leaf 198
e polygon with the same uniform velocity. Let ABC ... be the polygon, and letthe material point describe AB with thevelocity v in the unit of time. If, whenat B, no other force act upon the point,it will describe BD=AB in the sametime. Join DC, and draw BN equaland parallel to DC. If, when at B,… … CONSTRAINED MOTION. 175 in the same time. But since BC=BD, the velocity in BC is thesame as that in AB, and the point will describe the two adjacentsides with the same uniform velocity. Now, since the trian-gle BCD is isosceles, BDC=BCD=CBN. But ABN=BDC ;.♦. ABN=CBN, and BN bisects the angle ABC.…
Mechanics, Analytic
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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-188-106.webp)
![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-185-101.webp)
