Re: Quadratic to Linear solution
- From: "Dave L. Renfro" <renfr1dl@xxxxxxxxx>
- Date: Tue, 29 Apr 2008 16:34:03 EDT
Paul wrote (in part):
What I have to do is develop somehow a "transition"
between these two extreme limits, allowing the value
of "a" go from one to zero, and somehow have these
two equations converge?
What follows is a sci.math post I made about 5 weeks ago:
I've seen the process of letting a --> 0 in the quadratic
equations in a number of old texts. Below are a few that
happen to be digitized at google-books. I searched for
"limit" and "roots" and "quadratic equation", with
a date restriction of 1850-1910:
http://tinyurl.com/3unm3v
Section 8 (pp. 14-16) of Smith/Gale's " The Elements of
Analytic Geometry" (1904)
http://tinyurl.com/yv59y8
Section 8 (pp. 7-8) of Newcomb's "Elements of Analytic
Geometry" (1885)
http://tinyurl.com/27fzcy
Section 275 (p. 227) of Hall/Knight's "Higher Algebra:
A Sequel to Elementary Algebra for Schools" (1894)
http://tinyurl.com/295ktm
Dave L. Renfro
.
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