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 207
her to prove the law itself.Probably he held, as other geometers [D. Bernouilli,DAlembert], that it was a truth independent of any ex-perimental foundation. Non-Euclidean Statics. § 9. Having thus shown that the analytical law forthe composition of concurrent forces does not depend onEuclids Fifth… … Let C be the middle point of AA, and B a point onthe perpendicular BC to AA. Joining AB and AB, and putting <^ BAC = a, <^ ABC = p,it is clear that the force P^ can be regarded as a componentof a force T-s,, acting at A and along BA.The magnitude of this force is given by Psin a r= -.— Equal…
Geometry, Non-Euclidean
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