advancedGeometry/workbookOfTwoDimensionalGeometries.tex at master · mooculus/advancedGeometry · GitHub

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\pdfobjcompresslevel=1
\documentclass[numbers,nooutcomes,twoside,hints,noauthor,12pt,handout,newpage]{xourse}


\input{preamble.tex}

\title{Workbook of two-dimensional geometries}
\author{C.\ Herbert Clemens and Bart Snapp}
\begin{document}
\begin{abstract}
  Two-dimensional geometries.
\end{abstract}
\maketitle

\chapterstyle

\activity{./introduction/introduction.tex}

\part{From synthetic to coordinate geometry}

\activity{./euclidsPostulatesForPlaneGeometry/euclidsPostulatesForPlaneGeometry.tex}
\activity{./rectanglesAndCartesianCoordinates/rectanglesAndCartesianCoordinates.tex}
\activity{./dilationsAndSimilarityInEG/dilationsAndSimilarityInEG.tex}
\activity{./concurrenceTheoremsInEG/concurrenceTheoremsInEG.tex}
\activity{./centralAndInscribedAnglesInEG/centralAndInscribedAnglesInEG.tex}
%% \activity{./theCrossRatioAndPtolemysTheorem/theCrossRatioAndPtolemysTheorem.tex}
\activity{./surfaceAreaAndVolumeOfTheRSphere/surfaceAreaAndVolumeOfTheRSphere.tex}
\activity{./sphericalLunesAndTriangles/sphericalLunesAndTriangles.tex}


\part{Changing coordinates}

\activity{./euclideanThreeSpaceAsAMetricSpace/euclideanThreeSpaceAsAMetricSpace.tex}
\activity{./congruencesThatIsRigidMotions/congruencesThatIsRigidMotions.tex}
\activity{./changingCoordinates/changingCoordinates.tex}
\activity{./rigidMotionsInXYZCoordinates/rigidMotionsInXYZCoordinates.tex}
\activity{./linesInSphericalGeometry/linesInSphericalGeometry.tex}
\activity{./linesInHyperbolicGeometry/linesInHyperbolicGeometry.tex}

\part{Projections}


\activity{./centralProjection/centralProjection.tex}
\activity{./rigidMotionsInCentralProjection/rigidMotionsInCentralProjection.tex}
\activity{./linesAnglesAndAreasInCentralProjection/linesAnglesAndAreasInCentralProjection.tex}
\activity{./stereographicProjection/stereographicProjection.tex}
\activity{./linesAnglesAndAreasInStereographicProjection/linesAnglesAndAreasInStereographicProjection.tex}
\activity{./hyperbolicLunesAndTriangles/hyperbolicLunesAndTriangles.tex}
\activity{./connectionsToSpecialRelativity/connectionsToSpecialRelativity.tex}
%\activity{./theArtOfEscher/theArtOfEscher.tex}

\end{document}