# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0609 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0609?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 585, page id 851708439:0609 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=609 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000609.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 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. Cap. V LLA GUL AR FBI S. FLMMIlIter, ODC 6 30,1, _C. 92, 93, _C. 2047 205, _C. (uF 2d 523 dCHI CIL procedere licebit ad Arcus per Guacrantes graduum determinandos. LF ulera li LLDCL. Nos aurem Dimidiis gradibus concenti, hic subsistimus: cum jam Subren Fas axta- rimus Selgui Bractibuo LOHUS demletcumtereme adeoque d torius Cix- cmetenta., De Canone Subtensarum e Sinuum: Tancentium item Secantium. L.L ea quae Capire praecedente tradita LunE: Facile est construere Cano- tem Subrelidrum seu Chordarum, per Surdas Radices delignatarum, ad singulos Selqui gradus torius Semicirculi. Ouarum Semistes sune Sinus Recti pro lingulis gradtuum Dodrancibus torius Ouadrancis. Indeque, ( opuS Sic, deduci postunt Fangentium et Secantium Canones, Sur- dis irem Radicibus delisnatarum. EE carundem ope, poterit quispiam C. cui id lubitum est) vel novos Canones, Numeris Absoluris, rero proximis, condere; aut jam conditos examinare. Nam pro qualibet Subtenla, ordine quarenda, non nis una Radicis extractione opus erit, (e Paepe ne hac quidem;) Sed quod reliquum est operis solis Adcicioni. bus ee Subductionibus perasitur; aut salrem Dirisionibus per 2 aut 4. Exempli gratia. Posito Circuli Radio R = +. Tum (propter Radios omnes in eodem Circulo inter (e aequales) C =D = 1. Ec Cimiliter Cq- D9--CD =- L. Pricque B subrensa anguli propoli. ErSO (per S F Cap. praced.) Ouadratum Subtentae graduum 00, est Bg = Cg. FD9 = F F F = 2. Iplaque subrensa B = V 2. Oux habetur unica exira- etione quadrarieae Radicis numeri 2; concinuandae quousque libet in partibus deci- malibus. PuTaVZ ==F, 42421356 Y Proxime. Trem (per 52 ejusdem) Ouadratum Subrenia gractuum 120, est B9 = C. 9. f D9 CD =L F 5 F 5 = 3. Iplaque Subcena B =V 3. Ouxe similicer habetur unica excractione radicis numeri 3. Puta V 3 = L. 7320508F- proxime. Ouadratum Subrenx graduum 60, cst (per 53) B9 = Cq + D4 - CD = F = + = F. Adeoque Subtensa B = X. Catera vide pas. 500. post Tabellam, hic inserenda. Sequitur Canon, seu Fabula, Subtentarum radicibus surdis desixnatarum, pro singulis Sesqui gradibus rorius Semicireuli, (adeoque d pro Reliduis ad Circu- lum inceorum, quorum subtenta exdem sunc cum hisce.) Posito Radio R = F. ad eoque C =D = +. Trengue C9 =Dg =C D = L. QuibUS PPXMILUNEuE; in marxine, sectiones Capicio praececencis unde derirantur. rac.