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A BIOGRAPHY
179
solved all the problems. He would not believe her, and
bade her sit down beside him and go through her
solutions point by point. To his great astonishment, not
only was everything quite right, but the solutions were
eminently clear and original. In the eagerness of
exposition she took off her bonnet, and her short curly
hair fell over her brow. She blushed vividly with
delight at the professor’s approbation. He, no longer
young, felt a sudden emotion of tenderness for this
child-woman, who had evidently the gift of intuitive
genius to a degree he had seldom found among even
his older and more developed students.
From that hour the great mathematician was S6nya’s
friend for life, and the most faithful, tender counselor
she could have desired. She was received in his family
like a daughter and sister, and continued her studies
under his guidance for four years—most important
ones in the influence they exercised on her future
scientific work, which was always pursued in the
direction given to it by Weierstrass; applying to it,
and developing, her master’s premises.
Sonya’s husband had followed her to Berlin, but left
her to live alone there with her friend from Heidelberg,
visiting her, however, very frequently. The relations
between them continued peculiar and provoked some
astonishment in the Weierstrass family, where her
husband never showed himself, though his wife was
on an intimate footing with all, its members. Sönya
never mentioned her husband, nor did she introduce
him to the professor, but on Sunday evenings, when
she went to Weierstrass (he coming to her once a
week besides), her husband went to the door when the
lesson was finished, rang the bell, and told the servant
to inform Madame Kovalévsky that the carriage was
waiting.
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