Philosophiae naturalis principia mathematica . tertiam. X^ ^ ^ ^ x^ y > h^/ /^ ^ \ l ^ 4. De Hyperbolts novem redundanttbus cum Afymptothtrthus ad commune punBum convergenithus. Si tres Afymptoti in punfto eommuni fe mutuo decuffant, ver-tuntur fpeeies quinta & fexta in vigefimam quartam ^ {Fig. 30.)feptima & oflava in vigejimam qutntam, {Fig. 31.) & nona in vi-gefmamfextam {Fig. ^x.) ubi Anguinea non iranfit per concurfumAfymptoton, & in vigefmam Jeptimam ubi tranfit per concurfumiHum, (Fig. 3 3,) quo cafu termini b ac d defunt, & concurfusAfympioton efi: Centrum figurae ab omnibus ejus pa


Philosophiae naturalis principia mathematica . tertiam. X^ ^ ^ ^ x^ y > h^/ /^ ^ \ l ^ 4. De Hyperbolts novem redundanttbus cum Afymptothtrthus ad commune punBum convergenithus. Si tres Afymptoti in punfto eommuni fe mutuo decuffant, ver-tuntur fpeeies quinta & fexta in vigefimam quartam ^ {Fig. 30.)feptima & oflava in vigejimam qutntam, {Fig. 31.) & nona in vi-gefmamfextam {Fig. ^x.) ubi Anguinea non iranfit per concurfumAfymptoton, & in vigefmam Jeptimam ubi tranfit per concurfumiHum, (Fig. 3 3,) quo cafu termini b ac d defunt, & concurfusAfympioton efi: Centrum figurae ab omnibus ejus partibus oppofuisaequaliter diftan?. Et hae quatuor fpecies diametrum non habent. Vertuntur etiam Sfecies decima quarta ac decima fexta in oBavam, [Fig. 34.) decima quinta ac decima feptima in vigef- mam T E R T I I O R D I N I S. Bf mam nonam, (Fig. ss-) decima oftava & decima nona in tricejimam,{Fig. 36.) & vigefima cum vigefima prima in tricejimam frimamy{Fig. if.) Et hae fpecies unicam habent Ac denique fpecies vigefima fecunda & vigefima tertia vertunturin Speciem tricejimam fecundam cujus tres funt Diametri per concur-fum Afymptoton tranfeuntes. {Fig. 38.) Quse omnes converfiones facillime intelligunturfaciendouttriangu«i-lum ab Afymptotis comprehenfum diminuatur donec inpunftumeva-nefcat.


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