Non-Euclidean geometry; a critical and historical study of its development (1912)
Bonola, Roberto, 1874-1911, Carslaw, H. S. (Horatio Scott), 1870-1954 · LaSalle, Ill. : Open Court Publishing Co. · leaf 203
functionsy(a) and cos a. For fullerp confirmation of this fact, wedetermine the functionalequation which _/ (a) satis-fy 2 fies (cf. Fig. 67). To this end let us con-sider four forces F^, P2,F.^, P^ of magnitude P,acting at one point, formingwith each other the following angles -^ p,p, = <:… … The General Case. i8q inclined at an angle 2 p. Taking the resultant of Rt_ and R2,we have a force li, such that i? = 4-/y(a)/(P).On the other hand, taking /i with /_,, and F^ with F^^,we obtain two resultants, both along the direction of R, andof magnitudes 2Ff{a + ^\2Ff{a-^),respectively. These…
Geometry, Non-Euclidean
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