The february l993 Amer. Math. Monthly has a very nice article about Pick's Theorem written by Branko Grunbaum and Geoffrey Shephard. In addition to the intrinsic interest of the article there is an excellent bibliography of articles about this result, which deals with finding the area of plane lattice polygons. ------- JOE MALKEVITCH DEPT. OF MATH. YORK COLLEGE (CUNY) JAMAICA, NY 11451 EMAIL: JOEYC@CUNYVM OR JOEYC@CUNYVM.CUNY.EDU PHONE: 718-262-2550 (2551)
From usenet Thu Feb 25 10:02 PS 1993 Path: forum.swarthmore.edu!uunet!cdp!doversherhs From: Dover-Sherborn High School <firstname.lastname@example.org> Newsgroups: geometry.pre-college Date: 25 Feb 93 10:02 PST Subject: Re: Two-column Proofs Message-ID: <email@example.com> References: <firstname.lastname@example.org> Sender: Notesfile to Usenet Gateway <email@example.com> Nf-ID: #R:firstname.lastname@example.org:1046557005:cdp:1800700002:000:1078 Nf-From: cdp.UUCP!doversherhs Feb 25 10:02:00 1993 Lines: 22
I am a student of Dover-Sherborn high, and a member of Mister Groves sophmore geometry class and we have done equal numbers of two column proofs and paragraph style proofs, and I have found paragraph style the most usefull. The paragraph style encourages us to write down all we know, but the two column proof only needs or asks for a certain thing. The paragraph lets you write something not so specific but will help you along in your completion of the paragraph style proof. Also the paragraph style will make all those insignifigant (supposedly) in your head, and when the next proof comes you will remember them, when they are more important than they were in the last proof. As a matter of fact the two column proof is not letting me retain all those "insignifigant" facts. If right now you asked me to do a proof I did not know how to do, but it involved basics of triangles, rectangles and what not, and you asked me to do it in paragraph. If you asked me to do it in two columns I probably wouldn't even get the first step let alone completion.