[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1186
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: 0.83.
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The machine reads it as
- 2106
- QV ADR A FY R A CIR CYL I.
- am
- ile den
- A
- t
- L
- R A TVR
- LOFOSIIIOCIIL
- Ic AB axis parabolae C AD, cui xquidister recta M N diuila
- c
- per parabolam inC, cumprilq; aequalibus CG, C F; irem CO,
- ou de puncta C, F, ita O, S ordinacim ad axem re-
- Dicorectangula GL, L. L. D tore dgltallas irem rectangula POO.
- 2ST.
- Demonstratio.
- Eilacenim C. R media incer CF.
- GI; _ OX media inter OP,
- O9. icem FP, S V medixincer
- P F, FD, _ RS, SF. ostensum
- aest CK X, ireM CL V esse pa-
- tabolas, X quidem CL. V aequa
- lem plane bparabole C AD. Con-
- curracicaque parabota C I. V cu
- aXC AB in Z. manifectum cAt.
- R ex Z ordinarim ducatur Z. V
- ad axem CNV, aequalem eam F0.
- reordinarim ducta ex C ad axem
- AB, (cilicet aequalem CB; quare
- CIIMI CF Z, CAD paraBOIX CX-
- dem sinc, manifectum est aXCS
- AB, CN agnales esse. Manite.
- cum eA eriam ex construction.
- Darabolam CKZ CTanCIEC PeF
- A: naM EX A, duCaeUE A HL paralleta G K, eansCE c Ca parabolam C AD, itaque
- deer +4. de cum drectanoulom FTGT sic ad quadeacum A.MI velinea C C ad CMI, etiam qua-
- dracum C K ad M A quadracum crie vE CG ad CMI. PaTCE ItaqUC CR X parab0-
- Ia ExANSIrC per A, ex quidem A MI vei _ C R ordinacim cric posica ad axem parab0-
- Ix CR A cum sincad angulos rectos ductx ad axem AB, AC PFOPTerCA A NI ~qualis
- erit BC, _ MC aequalis AB, hoc eAt CN. aqualesicaque rurlus sune parabolx
- CRA, CF Z, quare e quadratum G K quadeaTO F P, X quadracum O X quadra-
- co SV, aequale cric. manifectum igicur eAt eriam rectangula HIGL, DFD, icem
- POO, SRT esse aequalia. Ouod erac demonstrandum.
- PR OPOSITIO CIV.
- Darabole C AD axis SIE A B, quevis aurem diameter C C F parabolam
- secerin C; Factis deinde C G, C F incer se aequalibus, vrei e GO, FS,
- irem OK, SL. _ (ic deinceps, per puncta C, O, P, 5, acc. ponantur ordi-
- narim ad arem OG. 6 h, L. D, R M, et C. lecanres parabolam in R, C., tl. P.
- icem
- Por 339
- BPOFY5L
- e cylind
- Bodoid. e
- C PerYS.
- arab.
- parab.
- AC GI, F. D; OO, R T
Cite
[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1186. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1243?run=74