Last Updated：2025/12/29
Sentence
https://books.google.com/books?id=R0d76m-Be10C&pg=PA16
page
16
The
figurate
number's
gnomon
is
therefore
1+nb
in
the
general
case.
A
trivial
family
of
numbers,
those
for
which
b=0,
might
be
called
linear.
[…]
https://books.google.com/books?id=R0d76m-Be10C&pg=PA17
page
17
Clearly,
a
figurate
number
of
rank
n
is
equal
to
the
sum
of
its
first
n
gnomons,
and
in
particular
the
sum
of
the
first
n
odd
numbers
is
equal
to
n².
Quizzes for review
https://books.google.com/books?id=R0d76m-Be10C&pg=PA16 page 16 The figurate number's gnomon is therefore 1+nb in the general case. A trivial family of numbers, those for which b=0, might be called linear. […] https://books.google.com/books?id=R0d76m-Be10C&pg=PA17 page 17 Clearly, a figurate number of rank n is equal to the sum of its first n gnomons, and in particular the sum of the first n odd numbers is equal to n².
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