Leibniz-Handschriften zur Mathematik LH 35, 10, 11, fol. 111r
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: 0.85.
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. 110v); this page is its right half.
The machine reads it as
- tangente ipsius AM, vel in MK Hngente ipsius NM
- si mobile feratur in inea
- quacunque AM vel NM
- vacunque directio ejus erit,
- ut in AY nu
- Am tangente CeeM
- Unde sequitur si motus
- in linea
- junde sequiur
- y se mole mot
- ejus sit compositus ex circulatione circa centr
- et descensorio descensu, versus centrum
- fore
- erit velocitaten circulati descensus ad
- velocitatem circulationis (posita ut
- 7
- ad velocitatem descensus, ut recta extangente
- ducta
- ux radio nM normaliter occurrens
- Mo
- ate
- normalem hanc
- per maelediptem
- radii partem. Nam circulationi
- motis
- et lineam
- directio est in operpendiculari ad radium nempe
- NM ost mta
- in MH tangente circuli e centro, C radio CdM descr
- deversus contrum si
- et directio descensus cest in recta M MO
- sit ergo directio. Cum ergo directio ei
- si ergo directio Et proinde dinectio velocitatis
- et circulationis et descensus fa
- invicem angulum rectum.
- cum
- Ca ergo direct
- ex. utraque erva composita repraesentetur,
- C
- agentem
- o
- per on
- portionem tangentis ab ut
- livet assumtam
- na directione diculationes
- et velocitates circulationisres descensus
- a
- md. sD
- componegteta
- repraesebtabuntur per, rebta latera anguli
- e
- tenusa est MT, ex quibus unumnd utique
- quibus unum cadat in MO, ac proinde habebitur
- recti, cujus
- a censum
- utrumque demissa s D normali ex T in OM
- Ex His jam poterimus Geometiice demonstrare
- stratione
- positis
- in circulatione Harmonica sectorum
- unsesteri AN NM A
- sit enim curvae
- se
- t
- 4
- arcas foreut tempora
- AMM circum scriptum polysgonum quantilibet punr
- (1IL 2L3La
- laterum quantum sufficit, ut differentia ejus ab sipso
- sciliee
- curvae sectore sit minori data, et differentia penipheriae
- qubit
- in lateribus potygom describetur linca a curva
- parne iia ideo
- quantillum libet differens. Ics Ex punctis (L2 et
- lagantur normales LN in d issas B, diL ek. et
- ipsa ponendo aequalibus temporibus percurri BIL, 1C etc eti
- cd
- et derectionem BIL vel iL 2L comprni BIN, et N cum
- dircetiones in lateribus, ut it 2L, sint compositae ex directionibus
- ut IL 1N) et e. NN2L, _ ipsae entem directiones et ideo temporibus
- + taque si per
- eaudem reprae–
- sentetur et
- v
- locitas directio
- compositae
- 4
Cite
Leibniz-Handschriften zur Mathematik LH 35, 10, 11, fol. 111r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068164:0221?run=74