\BOOKMARK [1][]{section.1}{Geometria piana}{}
\BOOKMARK [2][]{subsection.1.1}{Segmento}{section.1}
\BOOKMARK [2][]{subsection.1.2}{Retta}{section.1}
\BOOKMARK [3][]{subsubsection.1.2.1}{Distanza punto-retta}{subsection.1.2}
\BOOKMARK [3][]{subsubsection.1.2.2}{Distanza retta-retta}{subsection.1.2}
\BOOKMARK [3][]{subsubsection.1.2.3}{Condizioni di parallelismo}{subsection.1.2}
\BOOKMARK [3][]{subsubsection.1.2.4}{Condizioni di perpendicolarita'}{subsection.1.2}
\BOOKMARK [3][]{subsubsection.1.2.5}{Equazioni parametriche}{subsection.1.2}
\BOOKMARK [2][]{subsection.1.3}{Asse di un segmento}{section.1}
\BOOKMARK [2][]{subsection.1.4}{Bisettrice}{section.1}
\BOOKMARK [2][]{subsection.1.5}{Sistemi di riferimento}{section.1}
\BOOKMARK [3][]{subsubsection.1.5.1}{Traslazione}{subsection.1.5}
\BOOKMARK [3][]{subsubsection.1.5.2}{Rotazione}{subsection.1.5}
\BOOKMARK [3][]{subsubsection.1.5.3}{Rototraslazione}{subsection.1.5}
\BOOKMARK [1][]{section.2}{Geometria proiettiva}{}
\BOOKMARK [2][]{subsection.2.1}{Piano proiettivo}{section.2}
\BOOKMARK [2][]{subsection.2.2}{Coordinate omogenee}{section.2}
\BOOKMARK [3][]{subsubsection.2.2.1}{Conversione di coordinate}{subsection.2.2}
\BOOKMARK [3][]{subsubsection.2.2.2}{Punto improprio di una retta}{subsection.2.2}
\BOOKMARK [2][]{subsection.2.3}{Equazione di una retta dati due punti}{section.2}
\BOOKMARK [1][]{section.3}{Coniche}{}
\BOOKMARK [2][]{subsubsection.3.0.1}{Tipi di coniche}{section.3}
\BOOKMARK [3][]{subsubsection.3.0.2}{Retta-Conica}{subsubsection.3.0.1}
\BOOKMARK [3][]{subsubsection.3.0.3}{Classi di coniche}{subsubsection.3.0.1}
\BOOKMARK [2][]{subsection.3.1}{Equazioni ridotte e invarianti}{section.3}
\BOOKMARK [2][]{subsection.3.2}{Equazione retta tangente}{section.3}
\BOOKMARK [2][]{subsection.3.3}{Equazioni canoniche}{section.3}
\BOOKMARK [3][]{subsubsection.3.3.1}{Parabola}{subsection.3.3}
\BOOKMARK [3][]{subsubsection.3.3.2}{Iperbole e ellisse}{subsection.3.3}
\BOOKMARK [2][]{subsection.3.4}{Polarita'}{section.3}
\BOOKMARK [3][]{subsubsection.3.4.1}{Costruzione della retta polare}{subsection.3.4}
\BOOKMARK [3][]{subsubsection.3.4.2}{Diametri e centri}{subsection.3.4}
\BOOKMARK [2][]{subsection.3.5}{Ellisse o iperbole}{section.3}
\BOOKMARK [2][]{subsection.3.6}{Parabola}{section.3}
\BOOKMARK [2][]{subsection.3.7}{Circonferenza}{section.3}
\BOOKMARK [1][]{section.4}{Fascio di coniche}{}
\BOOKMARK [2][]{subsection.4.1}{Proprieta' del fascio}{section.4}
\BOOKMARK [2][]{subsection.4.2}{Calcolare l'equazione del fascio}{section.4}
\BOOKMARK [3][]{subsubsection.4.2.1}{Dati 4 punti}{subsection.4.2}
\BOOKMARK [3][]{subsubsection.4.2.2}{Dato un fuoco e direttrice}{subsection.4.2}
\BOOKMARK [2][]{subsection.4.3}{Studio del fascio}{section.4}
\BOOKMARK [1][]{section.5}{Spazio a tre dimensioni}{}
\BOOKMARK [2][]{subsection.5.1}{Vettore geometrico}{section.5}
\BOOKMARK [2][]{subsection.5.2}{Condizioni di perp e parall}{section.5}
\BOOKMARK [2][]{subsection.5.3}{Piano}{section.5}
\BOOKMARK [3][]{subsubsection.5.3.1}{Parallelismo e perpendicolarita'}{subsection.5.3}
\BOOKMARK [3][]{subsubsection.5.3.2}{Passante per tre punti}{subsection.5.3}
\BOOKMARK [3][]{subsubsection.5.3.3}{Casi vari}{subsection.5.3}
\BOOKMARK [2][]{subsection.5.4}{Retta}{section.5}
\BOOKMARK [3][]{subsubsection.5.4.1}{Retta in forma parametrica}{subsection.5.4}
\BOOKMARK [3][]{subsubsection.5.4.2}{Parallelismo e perpendicolarita'}{subsection.5.4}
\BOOKMARK [3][]{subsubsection.5.4.3}{Piano - Retta}{subsection.5.4}
\BOOKMARK [3][]{subsubsection.5.4.4}{Passante per due punti}{subsection.5.4}
\BOOKMARK [2][]{subsection.5.5}{Piano improprio}{section.5}
\BOOKMARK [2][]{subsection.5.6}{Rette sghembe}{section.5}
\BOOKMARK [2][]{subsection.5.7}{Distanze nello spazio}{section.5}
\BOOKMARK [2][]{subsection.5.8}{Quadriche}{section.5}
\BOOKMARK [2][]{subsection.5.9}{Vertice}{section.5}
\BOOKMARK [3][]{subsubsection.5.9.1}{Classificazione delle quadriche}{subsection.5.9}
\BOOKMARK [2][]{subsection.5.10}{Quadrica-retta}{section.5}
\BOOKMARK [3][]{subsubsection.5.10.1}{Quadrica-piano}{subsection.5.10}
\BOOKMARK [2][]{subsection.5.11}{Sfera}{section.5}
\BOOKMARK [3][]{subsubsection.5.11.1}{Cerchio assoluto}{subsection.5.11}
\BOOKMARK [2][]{subsection.5.12}{Cono}{section.5}
\BOOKMARK [3][]{subsubsection.5.12.1}{Cilindro}{subsection.5.12}
\BOOKMARK [3][]{subsubsection.5.12.2}{Proprieta'}{subsection.5.12}
\BOOKMARK [3][]{subsubsection.5.12.3}{Proprieta' analitiche}{subsection.5.12}
\BOOKMARK [2][]{subsection.5.13}{Tangente}{section.5}
\BOOKMARK [2][]{subsection.5.14}{Punti iperbolici, ellittici, parabolici}{section.5}
\BOOKMARK [3][]{subsubsection.5.14.1}{Tabella riassuntiva}{subsection.5.14}
\BOOKMARK [2][]{subsection.5.15}{Sezioni piane - Cono-Cilindro}{section.5}
\BOOKMARK [3][]{subsubsection.5.15.1}{Classificazione}{subsection.5.15}
\BOOKMARK [3][]{subsubsection.5.15.2}{Tipi di coniche}{subsection.5.15}
\BOOKMARK [2][]{subsection.5.16}{Sezioni piane - Quadriche non degeneri}{section.5}
\BOOKMARK [3][]{subsubsection.5.16.1}{Ellissoide}{subsection.5.16}
\BOOKMARK [3][]{subsubsection.5.16.2}{Iperboloide}{subsection.5.16}
\BOOKMARK [3][]{subsubsection.5.16.3}{Paraboloide}{subsection.5.16}
\BOOKMARK [2][]{subsection.5.17}{Equazioni ridotte e invarianti}{section.5}
\BOOKMARK [3][]{subsubsection.5.17.1}{Equ. ridotte}{subsection.5.17}
\BOOKMARK [3][]{subsubsection.5.17.2}{Equazioni canoniche}{subsection.5.17}
\BOOKMARK [3][]{subsubsection.5.17.3}{Invarianti}{subsection.5.17}
\BOOKMARK [2][]{subsection.5.18}{Polare}{section.5}
\BOOKMARK [3][]{subsubsection.5.18.1}{Cono-Cilindro circoscritto a Q}{subsection.5.18}
\BOOKMARK [2][]{subsection.5.19}{Quadriche di rotazione}{section.5}
\BOOKMARK [2][]{subsection.5.20}{Esercizi vari}{section.5}
\BOOKMARK [2][]{subsection.5.21}{Figure di quadriche}{section.5}