[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 90
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.
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The machine reads it as
- quad LCCC_ X AE duplum suxerheiei crunci exie Xra
- dius circuli aequalis superticiei sphaeroidis genita aroratio
- RE CUrHEFFT circa axem FY, quod demonstrare oportuic.
- Ilinc ceiam paret quod superticies sphaeroidis sc magni.
- cudine se craricace analoga cum leomeneo elliprico F D Fo
- RP, idem enim quod demonaratur de inceoris, non dictimile
- mechodo demonttratur de parcibus carum proportiomalibus
- v.9. eodem modo demonstratur superticies genita exroca-
- tione curuae FN aequalis circulo cuius ractii quadracum dun
- Dlum est Pcemenci clliprici FkPO, quo demonstrata est prae;
- lens propotirio; quod criam in cribus lequencibus est incel-
- ligendum, cum eadem sic racio huius ee illarum, me enim
- ex dec cadem (eMperrepeTerE.
- PROP. 48. PROBLEMA.
- inmenire circulum aequalem (aperficiei spharoidis latae
- Ic sphaeroislaea genica ex rocarione FemiellipleosM C
- Rcirca axem breniorem M R cuius superticiei oportee
- ainvenire aequalem circulum. In verricibus M, R, elliplem
- eangane recta MA, RD, aequales lemith laceris recti. Dein-
- de centro P, verrice C, per puncta A, Cd, ducarur hyperbola
- ACD, de Seomenco hyperbolico ACDRM AAC ae quale qua-
- dracum cuius diamerer recta X. dicoz esse radium circuli
- aequalis superticiei sphaeroidislaca propolice. Sic hyperbolae
- alymptota PF rectam DR sccans in F, Scque hyperbolam
- cangens in verrice recta B C C, Q iVBSANCUF RCCAX FD, PC70
- ex quoliberellipseos puncto l in onem MR sic perpendicula
- ris IO rectasC C PD, PF, PC interlecans in punctis FB Kd
- OLicem hyperbolam incerlecans in E. Sic recta CN aequa
- lisrectae DIE; manifecstum est (ex commentarius Firancilc. a
- Scorten in Carrelium p28. 224) rectam NI ellipsem cangen.
- tem in punctol normaliter (CCorC. Quoniam PF eAhyPerbO
- 1∞
Cite
[Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura, fol. 90. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/834940469:0174?run=74