... “‘Tis mathematically true,” exclaimed Baisemeaux... 
Alexandre Dumas, Pere 「The Man in the Iron Mask」
...It has beenindicated mathematically (by formulae based on conjecture),but never actually solved—for the very good reason that itis impossible to reproduce spacial conditions in earthlylaboratories...
Various 「Astounding Stories, July, 1931」
...Laplace and Leverrier proved mathematically that in 1767 it had approached so close to Jupiter as to be involved among the orbits of his satellites...
Garrett Serviss 「Curiosities of the Sky」
...Even if all the observations and the reductions of a parallaxseries were mathematically correct, we could not with strict proprietydescribe the final result as the parallax of one star...
Robert Stawell Ball 「The Story of the Heavens」
...It had,however, previously been investigated mathematically by Titius in 1772...
Cecil G. Dolmage 「Astronomy of To-day」
...Laplace mathematically demonstrated that it cannot be uniform andsolid, and survive...
Henry Warren 「Recreations in Astronomy」
...By thisarrangement the sun was situate mathematically near the centre of the planetarysystem, but he did not appear to have any physical connexion with the planetsas the centre of their motions...
George Forbes 「History of Astronomy」
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