# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/851708439:0324 # Permalink to this reading: https://leibnizlegible.com/page/851708439:0324?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 300, page id 851708439:0324 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851708439&page=324 # Source image: https://digitale-sammlungen.gwlb.de/content/851708439/jpgs/default/00000324.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 recognised, mean confidence 0.90 # 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. Problema primum vuleare est; sed non uu adus Resolvendi. Secundum no- ap. L.AA. vum est, tum ipsum Problema, tum es Resolutio; quam duobus modis absolvi ut ostendam, Problemata multa posse, per hanc methodum, variis modis persici Tertium subjunni, jam primitus exeositatum postquam praecedentia descripta fuerant. Tuus ad ofticia, Thomas Strode. CA puncto D, ducancur dux rectae, ut ec DF DV, qua parallela sint lateribus AC ccCB per qua Transire praesenciatur recta ec dividens OD. Dividatur CB in C, in ra aetione e ad l; ut sIt R. L:: CB. C C. Tun E DaLIE FG. FF huic parallela duCatT AF a Fiatque F. II = 4 CV. Centris C ec II, ae distantia CF, ducantur arcus duo se mu- cino intertecantes in WV. Fiacque L N WV. Bisccetur CN in O. Ec jungatur cOD. Tum eric, criangulum ACB, 20 c P CO triansulum, ut R ad l; PTOUL eraL II. Friangillum ABC in duo membra a requalia diriere, recta qua parallela sII ec lateri BC; IId. tamen ut ad criangulum cs incerius ANF, reliquatur communis adi- cc cuS, lateri AB adjacens, quale est PL BF ac paralleloorammum (cujus dari supponi- cc Eue BL latuS;) Licque ANF triangulum ae xequale crapezio CLPH. Bisccetur CB in D; et BI. in R. Fiac- ae que DMT =- BL. Centrisque M e D, di- aestantia DR, ducantur areus duo le mutro a incersecantes in O. Fiat C F = CO; 8 e GF. parallela rectae C A; _ NF ipsI BC; e PL ipsi BA Paraltela. Erirque criangulum ANE aequale EaperiO CL PN; PTOut erat ae Vel sic alias. Diseca F. D in R. FL COV a einnetur DC ad A; UE BIE C A = ZCD a Cenris A et D, distantia CR, ducancur ac greus duo se mutuo incerfecantes in L. cc Fiiac CT= C F: _ TO = L, R. DUCALIE aOMI parallela recta C P: et MN rectae DC: _ LP rectae FD Parallela. FxItque ec Triangulum N F M aquale Fraperio NCCF PHI; Uc crat imperatum. Solruntur haec Problemata ODe Pri anguli Floscelis. Nam, in Fisura prima, Foret CWHI TIolceles Priansulum Si du cerentur lacera CW, FIN. Ex similicer. in secunda, NOD: ec in tertia, AFD ac Inguirenda igitur erir Proprietas II0- cc fcctio Friangul. Ouae haec clt. Si recta d ec Vertice Balin diricat in duo segmenta ae inaequalia; puca, uc BH. dividit AC balin cc in F: Tum rectae BF. quadratum, una ec cum segmentorum rectangulo AFC; X eC quantur quadrato rectae BA. (F (tO a BH, =AE, n FC, b= BA: erit ad I. bb.) A L C F B R A. transeunte, ia diridere, ul u Patione l ad 1. +T. Friangulum ABC, recta OD, per datum extra criangulum D punctum CC IMDCTaTM. se imperatum.