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# Title: Opticks: Or, A Treatise Of The Reflexions, Refractions, Inflexions and Colours Of Light (shelfmark Leibn. Marg. 193)
# Folio 147, page id 1677894601:0327
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1677894601&page=327
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(247
Si e radicibus eres maxiae AP, AX, A v, Vel treS Fis. 5, 6.
MInIIa A X, A ~, AP aequentur inter le, Nodus in
cuspidem acutissimum ConvertCtur. Nam crura duo
Elyperbola circumseriptxe ibi in angulo contactus
concurrent et non ultra producentur. Et haec est
pecies tertia.
Si e radlicibus duae media A~ X Ar aequentur in- Fic. 7.
cer se, puncta contactus = X7 coincidunt, e propte-
rea Oralis interjecta in punctum eranuit, e constat
tigura ex tribus Hyperbolis, inscripta, circumseripta
_ amibigena cum puncto conjusato. Ouae est species
quarta.
Si duae ex radicibus sunt impossibiles _ reliquae Fic. 7, 8, 13, 14
duae inaequales _ ejusdem ligni (nam signa contraria
habere nequeunt,) purae habebuntur Lyperbolae tres
Eine Orali vel Nodo vel cuspide vel puncto conju-
sato, _ hae perbolae vel ad latera trianguli ab
Asympeotis comprehenti rel ad ansulos ejus jacebunt
et perinde speciem vel quintam vel sextam consti-
cuent.
Si e radicibus duae Tunt aequales _ aIFera du Fis. 9, 1O, 15, 16.
vel impossibiles lunt vel reales cum signis quae a (is
nis aequalium radicum diverta sunt, fisura crucifor-
mis trabebitur, nempe duae ex Fyperbolis seinvicem
decussabunt idq; vel ad verticem trianguli ab A-
simptotis comprehenti, vel ad ejus balem. Oua
duae species unt septima e Octava.
Si deniq; radices omnes sunt impossibiles vel s Fis. 11, 12.
omnes sunt reales de inaeguales e earum duae Tunt
aftirmatirae et alterae duae nesatirae, tunc duae habe-
duntur Lperbolae ad angulos oppositos duarum
Uu 2
ATymP