Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 209v
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: 0.88.
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One image of two folio pages side by side, registered by the library under both labels (also fol. 210r); this page is its left half.
The machine reads it as
- cendens, inter alia habetur per aegrariones eradus indetinici, tactenus
- 2 nemine consideratas, uc R sic XX F. X Xe qral. 30, _ quaeratur X, rC.
- Perietur ese 3, quia 3F faz eAt 271f3 Pirc 30: quales aegrationes
- pro circulo dabimus suo loco. Algebraica expressio sic per numeros, li-
- cet irracionales, rulsares, seu per radices aequacionum communium:
- quae quidem pro gradratura generali circuli sectorisqs impossibilis est.
- Superes Quadracura Prichmerica, quae Calcem per series Ac, exhibendo
- ralorem circuli exactum prooressione terminorum, inprimis racio.
- nalium, gralem hoclOcopTOPONAM.
- Inveniisitur: vid. AB. 3.
- Oradeato Diametri existente +
- circuli aream fore: F fF3 18 et5 Fe dc.
- nempe gradeacum Diamerri inceorum demea (ne nimius
- hac valor) ejus cercia parce, addica rursus ( quia rimium
- demsimus) qrinca, demeaqre icerum (quia nimiumre ad.
- secimus) septima; de ita POrrO.
- Ericgi valorjosto major 1
- minor Z 5
- errorecamen existente intra L
- majoc 7 515
- minorz 5L 5 B
- ec.
- ec
- Toca ergo series continet omnes appropingrationes simul, sire ralores
- iusto majores eejucto minores: prouc enim longe cotinuata incellisitur,
- eric errorminor Fractione data, ac proindede minor daca quaris quanci-
- tace. Orare cota Ceries exactum exprimit ralorem. Et licet uno numero
- summa ejus seriei exprimi non possic, de Peries in infinitum producacur;
- qroniam camen una lese progrestionis constat, toca latis mence perci.
- vicur. Nam ligridem Circulus non est qradrato commensurabilis,
- non porest uno numero exprimi, sed in rationalibus necellario pec
- seriem exhiberi debet; quemadmodum de Dingonalis gradracis de se-
- etio extremi es media ratione Facta, qram aliqui dirinam rocant,
- alixque mulcae granticates, quae sune irrationales. Ecgridem (iLu
- dolphus poruisset resulam dare, qra in infinitum concinvarentur nu-
- meri 314159 ec, dedistet nobis quadracuram Drichmeticam exa-
- etam in inceoris, quam nos extibemus in tractis.
- Ne quis aurem in his parum verlacus puret, seriem ex infiricis
- terminis conttancem non polle agrari Circulo, qui eAt grancirasE.
- mita,
Cite
Leibniz-Handschriften zur Mathematik LH 35, 2, 1, fol. 209v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 44). https://leibnizlegible.com/page/00067993:0420?run=44