Leibniz-Handschriften zur Mathematik LH 35, 3 B 2, fol. 1r
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: 0.87.
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. 2v); this page is its right half.
The machine reads it as
- De Progressione Dy adica.
- Numeratio
- Pars T.
- 6 7 8d. 19. 10 11 12 13 14 15 16 1 t
- 10 11H 100 (101 110 1 1000 1001 1010 1011 1100 101 1110 1N 10000 (
- 32
- 23 24 25 2b 27 28 29 30 31
- 10090 10011 10100 10101 10110 1011 110v0 1OSt 11B1O noi 1110D 1O1 1110 inu 10000O
- 20 21 22
- 10000 Adscripta progressio facile continuari potest, icipeendo a dentra siniptrorsum, et.
- nundo
- superstantis numeri unitu haben subscribere 0. donec occurrat in superstante etiam 0. cujo
- subscribitur T. sequ nes ultra pergi opus, nam reliqui pharaderes manent
- ut in superstante, ita ex
- 1011. 000 88.
- 1oorio idem est ac si diceres: 1011000 esse 2 + X + 2 + 2 + X X Y
- Nam
- 64 + 16 + 8
- 1 in quarto loco seu 1000, significat cubum fundamenti
- uti enim in communi progressione significat cubum
- denai ita in nostra cubum a binario, nempe octo. similiter
- der. pese progressionis
- centur
- I in quinta loco significat quadrato quadratum seu 16, et
- uno alterno a deran
- in sexto significat surde solidum seu 32. et in septimo denique
- quadrato cubum seu 64.
- porrom Notandum rnitatis si in progressione descendas perpendiculanter
- Eogressine charactere numeri superioris ad characteres nun directe
- subjectos numerorum inferiorum, semper unitates redire
- 10 pogrossoo per saltos, et primam in ultimo loco redicere unitatem post unum
- 00 vis, etcut ero. at in secundo loco seu quadraticam. redire post tria
- appargt cubicam in tertio loco seu cubicam post septem zero interjecta,
- quarto loco seu quadrato quadra ficam post quindenim
- Hine jam offerre se videtur modus commodus transfor-
- mandi datum numerum decadi expressionem dati numeri
- decadicam in dyadicam sit numerus 36 3074
- ejus continue e sumatur dimidium
- et dimidium dimidii residuo semper e regione
- ita ut imus sit sinisterrimus, et ita pono, dabunt
- expressionem duadicam quaesitam
- 365
- Eadem methodus servari potest pro quacunque progressione
- in aliam commutanda.
- itique 365 eri400 + 01 VOI)
- 101101101
- 1000000009
- nempe 1000000
- 100000
- 1000
- simili arte decadicus cono dyadicus convertetur
- 40
- decadicum, vel addendo in unum omnes binari
- 256
- potestates decadice expresses ut hoc loco. 256. 64. etc. vel
- etam dyadicum datum dividendo per denarium
- decadice expressum, residuis. ordine collocalis, eodem
- quo dixi modo:
- dividatur per 1010) quodem
- NOIXOYI OIZ 9910 16
- Nor es
- 101107101
- +100100
- divisco quoti secu ndus.
- quoadiet
- (ero1 101) 106100 1I
- rorooo
- Noi
- san
- At prse
- 101 Resid aqu. 5
- 210 Resid aequ. 6
- aequ 3
- 15 Martii 1679.
- 10001
- 100000
- 190001
- 10001
- 100011
- 100100
- 10101
- 100111
- 101000
- sequi plimmi
- inde duobus
- alternis
- Dein quatuo
- alterus
- geometiin
- Eodem modo
- quaeren
- binaris, tern
- bi pri
- vet derivation
- 10 item pregret
- 33-
- 95
- ibb
- Exhispatet
- sio potenhiaru
- Ao
- a
- 428
- 109
- 256
- 16E
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 B 2, fol. 1r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068252:0001?run=74