By Euler L.

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**Additional info for An algebraic problem of finding four numbers, given the products of each of the numbers with the sum of the three others**

**Example text**

In the above example calculate the cosine and the directed sine up to and inclusive of the fourth power of the binomial. (Ans. ) Prob. 51. Calculate the first four terms of the series when b = 1 , 50 c= 1 , 100 β = 0◦ //0◦ , γ = 90◦ //90◦ . Prob. 52. From the fundamental theorem of spherical trigonometry deduce the polar theorem with respect to both the cosine and the directed sine. Prob. 53. Prove that if αa , β b , γ c denote the three versors of a spherical triangle, then sin βγ sin γα sin αβ = = .

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### An algebraic problem of finding four numbers, given the products of each of the numbers with the sum of the three others by Euler L.

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