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Philosophiae naturalis principia mathematica . t^. *. 2)£ fe» ENUMERATIO L I N: E A R U M 2. De H^ypeyf^oUs dmdectm redrmdantibm untcam tm-tum Dmmetrum habenttbusi Si Hyperbola redundans habet unicam tamum Diametrum, fitejusDiameter Abfciffa AB , & aequationis hujus ax¥bx-¥cx + dzz,ocuaere tres radices feu valores x. Si radices illae funt omnes reales & ejufdem figni, Figura conltabitex Ovali intra triangulum Dd^(J%. 17.) jacente & tnbus Hyperbo-lis ad angulos ejus, nempe Circumlcripta ad angulum D & Infcriptisduabus ad angulos d & <^. Et hffic eft S;pecies Si radices dufB majores
Philosophiae naturalis principia mathematica . t^. *. 2)£ fe» ENUMERATIO L I N: E A R U M 2. De H^ypeyf^oUs dmdectm redrmdantibm untcam tm-tum Dmmetrum habenttbusi Si Hyperbola redundans habet unicam tamum Diametrum, fitejusDiameter Abfciffa AB , & aequationis hujus ax¥bx-¥cx + dzz,ocuaere tres radices feu valores x. Si radices illae funt omnes reales & ejufdem figni, Figura conltabitex Ovali intra triangulum Dd^(J%. 17.) jacente & tnbus Hyperbo-lis ad angulos ejus, nempe Circumlcripta ad angulum D & Infcriptisduabus ad angulos d & <^. Et hffic eft S;pecies Si radices dufB majores funt aequales & tertia ejufdem figni, crura^Hyperbolae jacentis verfus D {Fig. iSOfefedecuffabuntinforma AWipropter contadum Ovalis. Quae Species eft uudecima. Si tres radices funt aequales, Hyperbola ifta fit Ca/^i<//3/^/? fmeOva-li, {Fig. 19.) Qu5e Sj^ecies e{\ duodecima, Si radices duae minores funt aequales & tertia ejufdem figni, .OvaHsin PufiEium tv^nmx, iFig. lo.) Quae Species eft decima tertia: Infpeciebus quatuor noviffimis Hyperbola quaejaeet verfus D,Afymp-totos in finu fuo ampleditur, reliquae duae infinu Afymptotonjaccnt. Si dusB ex radicibus funt impofTibiles habebuntur tres Hyperbolae.
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Keywords: ., bookauthornewtonisaacsir16421727, booksubj, booksubjectmechanics