Philosophiae naturalis principia mathematica . C A S, IV. At vero fi refta illa CBc in unico tantum punfto occurrat Cur- VJE, ideoque ad Curvam utrinque terminarinon polTit : iit punftum illud C, & incidatrefta illa ad punftum B in redam quamvisaliam pofitione datam & ad datum quodvispunftum A terminatam AB : & aequatioqua relatio inter Ordinatam BC & AbfcifiTamAG definitur, femper induet hanc formam,jy ~,tf A-» + bx^ + cx + K Nb- 78 ENUMERATIO LINEARUM 2>Iomina formarum. Enumerando Curvas horum cafuum, Hyperbolam vocabimus, In- fcripam^ quse tota jacet in Arymptoton angulo ad inflar Hy
Philosophiae naturalis principia mathematica . C A S, IV. At vero fi refta illa CBc in unico tantum punfto occurrat Cur- VJE, ideoque ad Curvam utrinque terminarinon polTit : iit punftum illud C, & incidatrefta illa ad punftum B in redam quamvisaliam pofitione datam & ad datum quodvispunftum A terminatam AB : & aequatioqua relatio inter Ordinatam BC & AbfcifiTamAG definitur, femper induet hanc formam,jy ~,tf A-» + bx^ + cx + K Nb- 78 ENUMERATIO LINEARUM 2>Iomina formarum. Enumerando Curvas horum cafuum, Hyperbolam vocabimus, In- fcripam^ quse tota jacet in Arymptoton angulo ad inflar Hyperbolse coniccS; Circtmfcriftam^ qu^ Alymptotos iecat & partes Abfciflas in finu fuo ampledimr; Ardbigenam, quae uno crure infinito infcri- bitur & altero circumfcribitur ; Convergentem, cujus crura concavi- rate fua fe invicem refpiciunt & in plagam eandem diriguntur; 2)i- vergentem^ cujus crura convexitate fiia feinvicemrefpiciunt&inpla- gas contrarias diriguntur; Crurihus Contrariispraditam, cujus crura in partes ccntrarias convexa funt & in plagas contrarias infinita; Con- cboidalem, q:se vertice concavo & divergencibusad Afymp- toton applicatur; Anguineam, quse flexibus contrariis Afymptoton fecat & utrinque in crura contraria producitur; Cruciformem, quse conjugatam decufiat; Nodatam, quae ieipiam decuffat in orbem re- deundo; Cnfpidatam, cujus partes duas in angulo contadus c
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