From: rbsalgad@gamera.syr.edu (Rob Salgado)
Newsgroups: sci.math
Subject: Poncelet-Steiner variations?
Date: 22 Sep 1997 05:28:41 GMT
(from Eves "A Survey of Geometry")
Poncelet-Steiner theorem:
Any euclidean construction (i.e. with a straightedge and compass),
in so far as the given and required elements are points,
may be accomplished with a _straightedge_alone_ in the
presence of a given (i.e. fixed) _circle_and_its_center.
(1) Is there a variant of this that uses a _given_square_
instead of the circle?
References appreciated.
(2) Eves claims that any euclidean construction can be accomplished
with only a carpenter's square (i.e. a right-angle). He makes
reference to "(August) Adler and others" but gives no
references to the literature. Can anyone provide some?
rob
rbsalgad@mailbox.syr.edu