ΠΡΟΒΛΗΜΑ ΤΟΥ PHILIPPE DE LA HIRE

José María Pedret, UN PROBLEMA DE PHILIPPE DE LA HIRE.

ΨΗΦ. José María Pedret

Page 10
Francisco Javier García Capitán, en cuanto a una resolución trigonométrica del problema de diferencias, me traslada lo siguiente de Anteas Hatzipolakis desde Hyacinthos:

Reference: Hyacinthos 17545

17545  →  Re: Mathesis June 1926, page 286   xpolakis   Apr 20, 2009

 

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Dear Francisco I don't have access to Mathesis, but a possible trigonometric resolution of the problem is: b-c = 2R(sinB-sinC) = 2R * 2sin((B-C)/2)cos((B+C)/2) = 4Rsin((B-C)/2)sin(A/2) h_a = 2RsinBsnC = R[cos(B-C) - cos(B+C)] = R[cos(B-C) + cosA] = R[[1-2sin^2((B-C)/2)] + cosA] two equations with two unknown: R, sin((B-C)/2) APH   --- In Hyacinthos@yahoogroups.com, "garciacapitan" <garciacapitan@...> wrote: > > Dear friends, > > I am interested in the trigonometric solution given in the magazine Mathesis, June 1926, page 286 of construction problem A, b-c, h_a. > > Has anybody access to this source? > > Thanks in advance >

Mail Antreas P. Hatzipolakis