Re:Post your proofs: Given five points on a sphere, four of ...
by danteembermage on Tuesday December 04, 2007 @04:33PM
(#86111)
My attempt was similar, but I didn't zragvba gur rqtr pnfrf so I may not have received full credit from the grader (they don't tell you which question your points come from).
Cvpx nal gjb bs gur cbvagf naq pbafgehpg gur terng pvepyr gung pbagnvaf gurz. Guvf terng pvepyr qvivqrf gur fcurer vagb gjb urzvfcurerf, yrg'f pnyy gurz N naq O.
Jurer (n,o) vf gur ahzore bs gubfr bgure cbvagf ylvat va gur erfcrpgvir urzvfcurerf, (n,o) zhfg or bar bs: (0,3), (1,2), (2,1), be (3,0).
Nqqvat gur 2 cbvagf gung yvr ba gur terng pvepyr (naq gurersber va N naq O), gur ahzore bs gbgny cbvagf va gur erfcrpgvir urzvfcurerf zhfg or: (2,5), (3,4), (4,3) be (5,2). Nyy bs gurfr srngher bar pybfrq urzvfcurer pbagnvavat 4 be zber bs gur cbvagf.
(Arrqf gb or nppbzcnavrq jvgu fvzvyne cebbsf, be trarenyvfrq gb nppbhag sbe, fpranevbf jurer 3, 4 be 5 bs gur bevtvany cbvagf yvr ba gur fnzr terng pvepyr).