# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0053 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0053?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 29, page id 851708439:0053 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=53 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000053.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine # Lines: 51 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. 29 12 44 3 F0 3t 44310 14.9R 14 2635 160 8958 16 3 42460 42524 5 50 160 2551440 2551448 10 753086580 + 253086590 Adeoque sc consiltet proporrio, Si 253086590 L’ertiam dant 360 gracus. Tum 32235395 Tertiam danc eradus quot? FE Mulciplicato termino terrio per secundum, ee divisione facta per primum. habebitur quaesitus numerus Graduum intexrorum, cum adjuncta tractione com muni; qua tractione communi ad Seragelimalem reducta, habebitur Relponsum in Cradibus, minurisque primis, secundis, certis ec. Auc etiam, S reducatur item terminus secundus graduum 360 in minuta cerria; (quod tactu opus esser si sraditurs 360 achaererent minuta prima, se cundam _ certia:) Eacta ui prius Mulciplicatione d Divitione, habebitur relpon- sum in minutis sertiis; qua reducenda demum forent in gracus ec. F L limi- liter in aliis operationibus consimilibus. Dui quidem procectus quamvis lac operolus sic, expeditior tamen est (post introductas figuras numerarias quas xtate Prolemaei ignorabant) quam per Sexa- selimatium Mulciplicationes ee Diritiones. Sccundum hanc sevacesimalium methodum, Prolemaus Ractium Circuti in partes 60 diridebat (aceoque Diametrum in 120:) et harum quamlibet in 60 minuta prima, e quodliber horum in toridem secunda, et Sic deinceps ue fuerie ruS. Ft similicer Areum seu Peripheriam, huic chordx respondentem, (hoc eht parrem sextam corius Peripherix, cujus chorda aequatur Ractio,) in 60 par- tes (uoras) quas gradus dicimus; (adeoque toram peripheriam in gradus 360:) e quemlibet gradum in 60 minuta prima, primumque in 60 secunda, et lic conrinue. tc consequenter ad haec, Tabellam Chordarum seu subtentarum construit (in Raclii parcibus et hacum minuris primis, sccundis, ecc.) exposiris Accubus respondentium. Hlujus Joco, ineroduxerunt srabes (ut expediriorem) Tabellam sincum (qui Tunc lemi chordae arcuum duplorum,) Arcuhus respondentium Gimili Lexagena- ria partitione designatis. Quod magis ad imitationem Ptolemai (in dividen- dis arcubus) factum puro, quam quod illud factu necesse Foret, post incroductas tiguras numerarias quas non habebat Prolemaeus, Led habuerunt Trabes. Arzachet a Prolemaeo tactenus differe, quod quam divilerat Prolemaus Dia- metrum in partes +20, diridat ille I ParreSs 390; uc minus opus foret subdi. rilionibus. cur aurem voluerine Amrigui fractiones omnes ad unam aliquam denomi- nationem 124C S0