X-Authentication-Warning: delorie.com: mail set sender to geda-user-bounces using -f X-Recipient: geda-user AT delorie DOT com X-TCPREMOTEIP: 207.224.51.38 X-Authenticated-UID: jpd AT noqsi DOT com Content-Type: text/plain; charset=windows-1252 Mime-Version: 1.0 (Mac OS X Mail 7.3 \(1878.6\)) Subject: Re: [geda-user] Apollon From: John Doty In-Reply-To: <201509132300.t8DN0sE6006134@envy.delorie.com> Date: Sun, 13 Sep 2015 17:14:04 -0600 Message-Id: <7EF3E562-BC7F-4853-B90A-29726FDFEBF6@noqsi.com> References: <20150913140631 DOT 1da1b78d AT jive DOT levalinux DOT org> <201509131529 DOT t8DFTUVS022118 AT envy DOT delorie DOT com> <201509131824 DOT t8DIOCBc028428 AT envy DOT delorie DOT com> <201509132031 DOT t8DKVH0P000824 AT envy DOT delorie DOT com> <201509132148 DOT t8DLmxI6003481 AT envy DOT delorie DOT com> <201509132300 DOT t8DN0sE6006134 AT envy DOT delorie DOT com> To: geda-user AT delorie DOT com X-Mailer: Apple Mail (2.1878.6) Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from quoted-printable to 8bit by delorie.com id t8DNEDMf016340 Reply-To: geda-user AT delorie DOT com Errors-To: nobody AT delorie DOT com X-Mailing-List: geda-user AT delorie DOT com X-Unsubscribes-To: listserv AT delorie DOT com Precedence: bulk On Sep 13, 2015, at 5:00 PM, DJ Delorie wrote: > >>> Also, most rational vectors do not have a rational magnitude. >> >> If you have a Pythagorean triple (x, y, h), x^2+y^2==h^2, it >> represents an angle arctan(y/x). > > Except that h is typically *not* an integer. Once you go off-integer, > you hit the FPU precision problem, because in the FPU all numbers are > on a "grid”. It is if (x, y, h) is a Pythagorean triple. By definition. https://en.wikipedia.org/wiki/Pythagorean_triple John Doty Noqsi Aerospace, Ltd. http://www.noqsi.com/ jpd AT noqsi DOT com