# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0133
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0133?run=74
# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 113, page id 851387705:0133
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=133
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000133.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

R Y DEVESTONE.
destruie id quod praecedente mulciplicatione per candem quancicatem B efticieba-
cur, adeoque ipsa quancitas A qua prius tuerat, jam icerum quasi ex postliminio
redic. Eodem modo si eacem AB dividatur per A prodibic B; (nempe 2  = B:)
quia scilicet tam ex ductu A in B, quam ex ductu B in A, eactem prodibii quanti.
tas, puta AB = BA. sic  = 3= 2 = 3, ee
3 = 2
Arque idem in grandioribus numeris similicer obcinet. Si enim ex ductu 283
in 546, vel (quod cancundem cst) ex ductu 546 in 283, Proveniat 154518. VE
explorem num rire peracta sic operacio, hunc productum dirido per mulciplica
torum utrumris, ee si reliquum diritione provenientem comperio, arsumento est
overationem rire peractam tuille; lin minus, certum elt alicubi fuiste crracum.
Et similicer in aliis quibulvis musciplicationibus, vericarem peractae operacionis
examinare licet.
28
lt. 2ecl.
1090
132
2425
254518
546
1038
540) 284826 (203
283) 254828 (546
4368
2092
254516
Se autem per Divitionem Mulciplicatio, sic per Mulciplicationem Dirisio exa. Divisio
minabitur. Nam si Duoriens in Divisorem ducatur (vel hic in illum) prodibit nu- nis exa-
merus pridem Dividendus. Nam quod Diridendo fuerat dissolurum, mulcipli- men per
cando (per cundem numerum) icerum rectimuitur. Duta, I A) AB (B, hoc est Mulciot
= B, multiplicanco B in A, prodibic AB. ECa, E 3) 12 (4, hoc est
22 =324
4; ducto 3 in 4 (Dirilore in Ouorientem) prodibit, 3x 4 = 12.
Ft Cmilicer in numeris grandioribus; E dividendo 1545L8 per 546 prodeat 283,
vel eundem numerum 2545+8 dividendo per 283 proreniat 546; vice verla
mulciplicando 545 in 283, vel hunc in illum, resticuetur numerus pridem divi-
dendus +54578. Oc in calculo mox ance appotico videre est
Si autem, polt peractam Diritionem, aliquod supertue.
ric Relidtuum; curandum est ut in probatione per multi.
plicationem instituenda, hoc etiam Reliduum addatur:
Secus enim non prodibit Diridendus inceger, sed maneus.
Nam, verbi gracia, si numerus 387 per 24 diritus extri-
beac quocientem 16, et supertine 3; hoc reliduum indi-
cat, quod in diridendo illo concineatur dirilor ricibus 16,
(vel quotiens vicibus 24,) acque intuper numerus 3.
Adeoque, praecer Dirilorem (vel Ouorientem) cories po-
situm (quod mulciplicando praectarus) adjungendus erit
cationem
387 (10
numerus ille 3
Racio cocins procellus (si ita et facit alelto mondum latis incellieatur) sic
reddi poceric. Cum uneo Mepats cocies in Producto concmeatur,
Guoteo MMtas in Mulcipilcatore, (haul Cories elt ille ponendus quories jubet
mulciplicator;) lBiritole quaeratur, quocies in Producto concineatur Mule.
Blicandus. Prodire deber (H operacio redle peracta, Lucric) pro, divitionis Ouo.
lat