Re: Geometry Utility, drawing technique
- To: mathgroup at smc.vnet.net
- Subject: [mg30849] Re: Geometry Utility, drawing technique
- From: "Allan Hayes" <hay at haystack.demon.co.uk>
- Date: Thu, 20 Sep 2001 03:51:52 -0400 (EDT)
- References: <9mi0ac$4us$1@smc.vnet.net> <9ncfo9$pso$1@smc.vnet.net> <9o97j1$cg9$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Garry, Thank you for reminding me of your package. I have just re-read your article with pleasure, but unfortunately I could not find the package in MathSource. I would still preferr to start children off with compass and straight edge but your package would be a useful follow-up, and an introduction to hyperbolic geometry. Following some of your comments in the article, I went back to Euclid's Elements. It is intriguing that for Proposition 3, a theorem: "If two triangles have two sides of one equal to two side of the other, each to each, and have also the angles contained by those sides equal, then [they are congruent]", we are allowed to move one triangle and superpose it on the other, yet for the for Proposition 2 , a construction: "From a point to draw a straight line equal to a given straight line", lines are static objects. One might think of moving the given line. -- Allan --------------------- Allan Hayes Mathematica Training and Consulting Leicester UK www.haystack.demon.co.uk hay at haystack.demon.co.uk Voice: +44 (0)116 271 4198 Fax: +44 (0)870 164 0565 "Garry Helzer" <gah at math.umd.edu> wrote in message news:9o97j1$cg9$1 at smc.vnet.net... > > > In 1991 or 1992 (Mathematica version 1.?) I wrote a package to do this > sort of thing and put it into MathSource. I suppose that it is still > there. > > The package is described in The Mathematica Journal, Volume 2, Issue 3 pp. > 61--69. The name of the package is CompassAndStraightEdge.m > > In article <9ncfo9$pso$1 at smc.vnet.net>, "Allan Hayes" > <hay at haystack.demon.co.uk> wrote: > > > Matthias, > > admit that there is something that Mathematica is unsuitable for, but > > introducing children to elementary straight edge and compass geometry is I > > think one such thing > . . . > > Allan > > --------------------- > > > > Dear Colleagues, > > > > > > my son is doing elementary geometry (compasses and straightedge/ruler) at > > > school. To get a nice drawing of a construction I determine the analytical > > > solutions for the points of . . . > > > Matthias Bode >