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Category: Geometry

is-it-possible-to-divide-an-angle-into-three-equal-parts-

Question Number 29321 by JI Siam last updated on 07/Feb/18 $$\mathrm{is}\:\mathrm{it}\:\mathrm{possible}\:\mathrm{to}\:\mathrm{divide}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{into}\:\mathrm{three}\:\mathrm{equal}\:\mathrm{parts}? \\ $$ Commented by Rasheed.Sindhi last updated on 08/Feb/18 $$\mathrm{Some}\:\mathrm{angles}\:\mathrm{like}\:\mathrm{right}\:\mathrm{angle}\:\mathrm{can}\:\mathrm{be}\:\mathrm{divided}\:\mathrm{into}\:\mathrm{three} \\ $$$$\mathrm{into}\:\mathrm{three}\:\mathrm{parts}\:\mathrm{using}\:\mathrm{Eucledean}\:\mathrm{tools} \\ $$$$\mathrm{but}\:\mathrm{not}\:\mathrm{everyangle}.…

Find-the-area-of-the-region-R-bounded-by-the-curve-y-cosh-x-the-line-x-log-e-2-and-the-coordinate-axis-Find-also-the-volume-obtained-when-R-is-rotated-completely-about-the-x-axis-

Question Number 29116 by tawa tawa last updated on 04/Feb/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{region}\:\boldsymbol{\mathrm{R}}\:\mathrm{bounded}\:\mathrm{by}\:\mathrm{the}\:\mathrm{curve}\:\:\mathrm{y}\:=\:\mathrm{cosh}\left(\mathrm{x}\right),\:\:\mathrm{the}\:\mathrm{line}\:\:\mathrm{x}\:=\:\mathrm{log}_{\mathrm{e}} \left(\mathrm{2}\right) \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{coordinate}\:\mathrm{axis}\:.\:\:\mathrm{Find}\:\mathrm{also}\:\mathrm{the}\:\mathrm{volume}\:\mathrm{obtained}\:\mathrm{when}\:\boldsymbol{\mathrm{R}}\:\mathrm{is}\:\mathrm{rotated}\: \\ $$$$\mathrm{completely}\:\mathrm{about}\:\mathrm{the}\:\:\mathrm{x}\:−\:\mathrm{axis}. \\ $$ Answered by ajfour last updated on 04/Feb/18…