# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0846 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0846?run=74 # Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2) # Folio 822, page id 851708439:0846 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=846 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000846.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 80 lines, status machine # Lines: 80 recognised, mean confidence 0.82 # 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. 822 C O M M F R C L U M rione auc diritione ab illis deduxic, quos a Frenicle accepeos ad iptum crantmilicti, (Vide Fpist. 27;) e Si habeas exemplar Epiltola cux ad ipsum W allisium in qua ipsi cubi concinebancur, facile cornosces quinque sequences Cuborum copulationes incer ipsos cubos reperiri. Iltis aucem quinque coia cuborum leries d W allisto cala MnIIIuII. Cuborum radices. 1. 2 + 12 =8 4 10. 1. 2 + 16 = 9 + 15. 32. 20 + 27 = 19 + 24. 12. 2 + 34 = 3 52. 9 + 34 = 26 +33 Alia vero qua lequuntur Cuhorum copulaciones numeto 22 IIa TM Quas Walliscus dicie a Frenioleis disterre, post quarum quamlibet volici lune numeri in- dicances de qua ex quinque copulacionibus Fuprapolicis quaque line delumpia; ec per quem numerum cubos d Nobilicate cua accepeos ad luorum constructionem vel diviseric vel mulciplicaveric: nempe parcieula, in, indieat mulciplicationem, de parriculas per, denorac divitionem. Cuborum Radices. 30 16. 263 60 e 136 O2 1. In 3 DeT 2 4. Per 2 ex 2 in 4. Per 5. 3. DeF 3. n 3 C3 + C36 - 4c 48 + 90 8 + 3+ 36 + 1 + 8 + 8 + + 3 60 - B in 21 l 2. iu 4. . Vet 2. 2. I 3 4. DCt 3. 2. Dec 3. 2 in 3 2. I 5. 40 60 = 4i + 50 l 1. l 5. + 66 18- 36 + 5. III 2 4. i 2. 1. in 4 3. In 3 Onde non est quod mireris si tam tache us ta spatio vel centum praebere spondeat; quid enim facilius quam exisuos numeros mulciplicare vel dividere, d certe cum unica tancum cuborum copulatione pluries milleni facillime de ablque auplicare (dividendo) lingulos numeros cuborum radieibus, ue videre elt in le quenci cabella, ee sic in intinirum; ubi nulla opus est vet musciplicacone vel alit. hione, nli s tubet ad reductionem. ullo neporio exhiberi pollune. Non enim in hac operatione major inest labor, nec subcitiore indasatione ret icustria naec Guan Ma Terminos cu jutibet Copua daca, L Verbi gracia, HetDC L, lL. =, 10. per singulos Or- dine numeros, 2, 3, 4, 5, ecc. e sic ad libitum procedere: vel quod sacilius est