Аналитическая геометрия и линейная алгебра. I семестр. Курс лекций. Кирсанов А.А. - 5 стр.

    6.4. Óðàâíåíèÿ ãèïåðáîë, ýëëèïñîâ è ïàðàáîë îòíåñ¸ííûå
    ê âåðøèíå ....................................................................................... 179
    6.5. Óðàâíåíèÿ ýëëèïñîâ, ïàðàáîë è ãèïåðáîë
    â ïîëÿðíûõ êîîðäèíàòàõ ............................................................... 182
7. Ëèíèè âòîðîãî ïîðÿäêà. Îáùàÿ òåîðèÿ
    7.1. Îáùåå ïîíÿòèå î ëèíèè âòîðîãî ïîðÿäêà ............................. 185
    7.2. Ïðåîáðàçîâàíèå êîýôôèöèåíòîâ ïðè çàìåíå ÏÑÊ .............. 187
       7.2.1. Ïðåîáðàçîâàíèå êîýôôèöèåíòîâ ïðè ïàðàëëåëüíîì
       ïåðåíîñå ÏÑÊ ............................................................................ 187
       7.2.2. Ïðåîáðàçîâàíèå êîýôôèöèåíòîâ ïðè ïîâîðîòå ÏÑÊ ... 188
    7.3. Ïîíÿòèå èíâàðèàíòà. Îñíîâíûå èíâàðèàíòû ëèíèè
    âòîðîãî ïîðÿäêà ............................................................................ 190
    7.4. Öåíòð ëèíèè âòîðîãî ïîðÿäêà. Ïðåîáðàçîâàíèå ê öåíòðó .. 195
    7.5.Ñòàíäàðòíîå óïðîùåíèå ëþáîãî óðàâíåíèÿ ëèíèè âòîðîãî .....
    ïîðÿäêà ïóò¸ì ïîâîðîòà îñåé ÏÑÊ .............................................. 197
    7.6. Óïðîùåíèå óðàâíåíèÿ öåíòðàëüíîé ëèíèè âòîðîãî
    ïîðÿäêà ........................................................................................... 198
    7.7. Óïðîùåíèå óðàâíåíèÿ ëèíèè âòîðîãî ïîðÿäêà áåç ....................
    îïðåäåë¸ííîãî öåíòðà ................................................................... 203
    7.8. Êëàññèôèêàöèÿ ëèíèé âòîðîãî ïîðÿäêà ............................... 210
8. Ïîâåðõíîñòè âòîðîãî ïîðÿäêà
    8.1. Öèëèíäðè÷åñêèå ïîâåðõíîñòè ................................................ 211
    8.2. Êîíóñû âòîðîãî ïîðÿäêà ........................................................ 215
    8.3. Ýëëèïñîèäû, ãèïåðáîëîèäû è ïàðàáîëîèäû ........................ 219