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as her outward appearance on the first visit had
left no impression at all upon his mind. She
never dressed well, and on this occasion she
wore a hat which hid her face completely, and
made her look very old, so that Professor
Weierstrass, as he told me himself, after having
seen her for the first time, had neither the
slightest idea of her age, nor of her unusually
expressive eyes, which used to attract everybody
at first sight. A week later she called again,
and said that she had solved all the problems.
He did not believe her, but asked her to sit
down beside him, after which he began to
examine her solutions one by one. To his
great surprise everything was not only correct,
but very acute and ingenious. Now in her
eagerness she took off her hat and uncovered
her short curly hair; she blushed at his praises,
and the elderly professor felt something like
fatherly tenderness towards this young woman,
who possessed the divination of genius to a
degree he had seldom found, even in his more
advanced male pupils. And from that moment
the great mathematician became her friend for
life, the most faithful and helpful friend she
could wish. In his family she was received
as a daughter and sister.
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