An encyclopaedia of architecture, historical, theoretical, & practical. New ed., rev., portions rewritten, and with additions by Wyatt Papworth (1888)
Gwilt, Joseph, 1784-1863, Papworth, Wyatt Angelicus Van Sandau, 1822-1894 · London Longmans, Green · leaf 332
i V. The difference of the radius vectorsis equal to the transverse axis. (Jig. 435.) That is, /M-FM=AB = 2CA = 2CB. For CA2 : CE2;: CP2- CA2 : PM2 ; And CE2=CF2-CA2. Therefore CA2 : CF2-CA2:: CP2_ CA2 : PM2. And by taking the rectangle of the extremes and means, anddividing by CA2, PM2 =… … FxM = CF> CICA -CA. C I X i P In the same manner we find _/M= ~qj^— + CA ; And, subtracting the upper equation from the lower,/M— FM = JCA.Coroll. 1. Ilence is derived the common method of describing the liyperbolic curvemechanically. Thus : — In the transverse axis AB produced (Jig. 435.), take…
Architecture · Architects
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