...According to every convention of building, the Cathedral is not onlyartistically poor, but mathematically insupportable... 
Elise Whitlock Rose 「Cathedrals and Cloisters of the South of France, Volume 1」
... shook his head impatiently, staring at the so-simple, yet incredible device whose theory had been mathematically proven numberless times, but never put into practice before...
Various 「Astounding Stories of Super-Science January 1931」
...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」
...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」
...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」
...It had,however, previously been investigated mathematically by Titius in 1772...
Cecil G. Dolmage 「Astronomy of To-day」
...The Mécanique Célestecontains the higher intricacies of astronomy mathematically worked outaccording to the theory of gravitation...
Oliver Lodge 「Pioneers of Science」
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