# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0489 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0489?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 465, page id 851708439:0489 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=489 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000489.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 recognised, mean confidence 0.84 # 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. AD. C. cle L D a A. 2,00000, = R. Sir; e = 2, 49, = 3+ 1. 3 3T9922 (F,00927, = a. Sin, B = 2, 48, = 3+4108) 3+9922 (5,01851, = b 3 SIn; 7 = +, 47, = 3FT200) 319922. (2, 02803,- 305365 302478 299570 296662. 293755 290847 204 105 c (08821 (2, 09996, = k = 2 Similiter omnino res succedet, EI Tumptis Radiis R, Z, cum Angulo , quaera- mus V, ee Ractios incermedios; aut, Cumpro Radio Z, cum Angulis BV, qua- rancur R, et Radii incermedii. 11. Verums si Limbi Lacituclo lic Radii nonnisi pars Frieelima, Ouaclraselima, aut adhue minor; acque Angulus diridendus, non quidem 10 minuta priman led toti- dem secunda, leu minor adhue: subrilior res elt quam ut rulsaris Canon Friso. nometricus hic achibeatur, es quae omnem sensum fusit; ipsique Circuli concen. crici distantiis aqualibus, quantum sensu pollumus distinguere, invicem disjuncti: quippe unius Pollicis parsmillelima, nedum decies aut centiesmillesima; minor est discrepantia quam ut tensu percipi potu. Sed nimius cum in re leri. Felicem itaque jam ineuntem Annum comprecatus, lonsa sequencium serie continuandum, Valere jubeo. Ejunc calculum accommodemus Flevelii magno Searanti Aineo, (quo ille po- tissimum Instrumento uritur,) Cujus Ractius cA plusquam P dum 6; ansulus ad Centrum A (cujus arcus in Limbo diridendus est) minutorum s, in partes aquales quinque Diasonali recta diridendus, ope Circulorum o concentricorum; Limbi laciendo est quali semi uneia aur paulo major; hoc ett, Racii pars ian proxime. Demus autem (ne Instrumento videamus nimis Carere) Limbi latitudinem CsC Radii, (radii circuli incimi parcem Centelinam, aut etiam aliquanto ma- jorem.) Adeoque ponamus angulum ad batim obculum O, (Diagonali recta, et Circuli incimi Racio, comprehentum) graduum 172. (cujus tinus idem elt qui gradtuum 8.) LL Propcerea V, angulus ad balin acucus (Diagonali recta, et Circuli exrimi Radio, comprehensus) erit graduum 2, 55, (propter angulum A, minutorum s.) Acque ad Circulum secundum, (CU CXLIMO PIOXImUM, (PrOP. Ter A jam minutorum 4) graduum 7. 56. Ad certium; grad. 7. 57. Ad quar. tum; erad. 7. 58. Ad quintum (scu intimo proximum) Seac. 7. 50. Aique (P0. Sico Circuli intimi Radio, 1, 00000) hinc exploremus reliquorum circulorum Racios. Tum (per illum Frisonometria catum, quo Datis duobus ad basin ansulis cum latere eorum uni opposito, duaeritur latus oppositum reliquo;) erit, VE Si nus anculorum V (in suis respectire circulis) ad Sinum aneusi O (Orad. 272. vel 8.) Su Pacsius intimi circuli (angulo V oppolicus) ad religuorum respective Circulorum Ractios (opDolitos angulIS O.) Hloc est; Polico incimi circuli Radio, 1. seu +, 000d0: reliqui sie reperiencur; Anguli. SinuS. 5. 172, Teu 8. Racius. 2388850, 139L73F:: 2,00000. Minimus. 1,00000 2,002073- 2,004 F53 + 2,00625 360835 307046 Radtius maximus. DisterenEa. 002073 - 00208+ 002093- db210 s 308293) 359922 (1,037727 = a (2,04760, (2,05767, =) (T, 06794, = (1,0784E, 1007 2 XC. 1 1380208 377 T385070. 1383089. (130690b, = 2 0021+ Obi (facto Calcuto quan alCa P Pet VSaleM SiCII Canonent,) Disserentia Raciorum, hoc cA, Circulorum Interralla, tam prove ad aequalita tem accedum, uc non ditterani plusquam centies millesima parre Racti minimis N nn (qu