LBr. 695 · Oldenburg, fol. 46v
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: 0.82.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
One image of two folio pages side by side, registered by the library under both labels (also fol. 47r); this page is its left half.
The machine reads it as
- 8. EH VDEi quad atria cusus verten. V,
- exattente A centro circuli et AD Diametr
- circuli ad quem aptatur, et angulo VAF recto.
- demissoque ad AF. perpendiculo quouis D et
- acla quadraticis tangente Dr occurrente ai
- ejus in T: dic AV = a, et AB - r, eret que
- BD = ∞ - XX
- AVDB = ax
- + 604 2es
- 24
- 2 26
- 45 a 945 as c. Et V7- 3a
- 10 a3
- +xc et area
- + 14 ∞
- 225a 6615 a rec: et arcus VD = X + 2X
- = 2X7
- Xa - 25
- 27aa 2025 at
- 893025 a6 + c. onde vicissim ex dato 8D, vel vr; aut area AVDB arcuvi
- VD, per resoletionem assectarum aequationum orui potest X seu AB.
- 9 Esto denique AF: B sphaeroides, revolutione elliptees AEB circa aercemA
- genita, et seita planis quatuor, AD per axemtrunteunte, D y parallelo
- AB, CDe perpendiculariter bisecante auem, et krG parallelo Cc: sit que recta
- CB =a. CE =C. CF = X et FG = y; et sphaeroideos segmentum corG dictis
- quatuor planis conoprehensum erit.
- + 2 CX 15
- CX3
- 3 aa
- Eoa
- exat
- 5CXG
- 576∞
- E 3.
- 18Caa
- 40cat
- 5X7
- 336c ab
- ac.
- 20c y5 - 3
- tocdaa
- 160c at
- V7 = 5X
- 33ocaa
- dec.
- 576C7
- ec
- 19 -_ec
- Ubi numerales coefsicientes supremorum tern
- rum (25, 20 15 570
- in infinitum producuntur multoplicando primum coefficientem continuo per
- 52X7. 7X9
- . -13, 3X5
- 4XS bX7 9XG 1OX UC. Et numena
- rec, in tertia per torminos hujus 36. =X
- 4X5
- 6X7 ∞X9 UC, in quarta per terminos hujus =X1. 4X3. 9X5
- erx 475 + 6X7 8c. et
- in insinitum inquinta per terminos hujus 52,. 9X3. 11XE. dec et sic in
- 4X= 6X7
- infinitum. et eodem modo segmenta aliorum soledorum delignari, et
- valores eorum aliquando commode per serres quasdam numerales in infinit
- produci possunt.
- Ex his videre est quantum fines Analyseos per hujusmodi infinitas serins
- aequationes ampliantur: puipste quae earum benesicie, ad omnia pene
- dixerim, problemata (si numeralia diophanti et somilia eacipias s se entens
- non vacat dicere; et neque alia quadam tradere quae circa reductionem
- infinitarum serierum in finitas, osi rei natura tulerit, excogitavi nam
- parcius scoito, quod hae speculationes due mini fassidie esse caperunt, aded
- addam: quod postquam eroblema aliquod ad infinitam aquationem deduct,
- non tamen omnino oniversalis ouadit, nisi per vlleriores quasd’an methodes
- assectarumve pervenire: Sed quomodo in ittis casibus procedendum sit tam
- ut ab eisdem Jampes quinque: fere annos abstinuerim. Onuum camen
- possint inde varia approximationes inosum mechaniiae nullosere negotio
- eliciendi serces infinitas, sunt enim quaedam Problemata inquibus non liceat
- ad series enfinitas per divisionem vel exeractionem radicum simplicium
- formari, quae per alias methodos quasitae, inulto labore temporis que
- dispendio constare solent, cuypci nec coremplo este possunt soacracis
- caessicientes terminorum in onaquaque columna descendentium in infinitum addenco aequationem 1. 112
- 4X5 6XY OXB
- 9X2
- producuntur multiplicando continuo coefficientem supremi tormini irr, e quod restat dividendo
- columna per eandem progressionem, in secunda autem per terminos hujus
- IXC 5X3, 5XF. 7X7
- 2X3
- 7X5
Cite
LBr. 695 · Oldenburg, fol. 46v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-860722:0092?run=74