(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.1' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 35603, 1065]*) (*NotebookOutlinePosition[ 36295, 1089]*) (* CellTagsIndexPosition[ 36251, 1085]*) (*WindowFrame->Normal*) Notebook[{ Cell[BoxData[{ \(\(s = \(a + b + c\)\/2;\)\), "\[IndentingNewLine]", \(\(S = \@\(s \((s - a)\) \((s - b)\) \((s - c)\)\);\)\), "\ \[IndentingNewLine]", \(\(R = \(a\ b\ c\)\/\(4\ S\);\)\), "\[IndentingNewLine]", \(\(ma = \(1\/2\) \@\(2 b\^2 + 2 c\^2 - a\^2\);\)\)}], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(Factor[a\^4 - 16\ R\^2\ ma\^2]\)], "Input"], Cell[BoxData[ \(\(a\^2\ \((a\^2 - b\^2 - c\^2)\)\ \((a\^4 - a\^2\ b\^2 - 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