# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/85138403X:0138 # Permalink to this reading: https://leibnizlegible.com/page/85138403X:0138?run=74 # Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103) # Folio 122, page id 85138403X:0138 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=138 # Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000138.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine # Lines: 46 recognised, mean confidence 0.91 # 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. ADDENVa Pa5. 23, l. 20, 568. post subjiciuneur, Adde EE quidem, supposica circuli quadeacura, quae hic supponieur quadrabim Figura quaeliber in suxerticie Sphaerae circulorum quo- rumvis (Ere maximorum sive minorum) arcubus corminata. Duod Quamvis non sic hujus loci Fusius prolequi, paucis camen olten- dam. Nam L. Pone Aouram hanc quamcunque in Trilinea Sphe- rica circulorum peripheriis dirimi, manifeltum elt. 2. Trilinca haec s Iinc vera Sphaerica Priangula (circulorum maximorum ar CADUS FERMINACA) daca PunE: Duippe, uc Excectus quo angulorum in Triangulo Sphaerico aggregarum superac duos rectos, ad duos rectos; lic Triangulum illua, ad Circulum in Sphaera maximum. 3. Siquod vero Trilineorum non sc cale Triangulum Spharicum; habecur camen illius a Sphaerico Friangulo, iisdem punctis anou- laribus cerminco, difterencia, habicis Bilineis qua circulorum ina- rimi _ minoris arcubus conterminis interjcineur. 4. Habetur aure hujusmodi Bilineu, h incelliganeur ab exeremis arcus circuli minoris ad polum suum duci duos arcus circuli maximi: Dui, cum arcu illo circuli minoris, continebune Trilineum TPosceles, cujus maenieudinem hic (568.) exhibemus; lidemque, cum contermino aecu circuli miximi, continene Triangulum Sphaericum; Quorum difterencia, est Bilineum quasicum. Adeoque, Suppositâ circult guadratura quadrabitur ficura quaelibet in superficie Sphara circu- torum quorumvis arcubus terminata; non minus quam; in Plano, Figura rectilinea. Duodnos, ni Fallor, primi docemus. Pac. 90. l. 20. post hactenus. Adde Conchoiars. FR autem e maona, incer Conchoidem e Crcloidem, conve- nienria. ResumPEa eni, gue es Fpist. 39. Commercii Epistolici p. 267, fgura; Manifeltum est, rectam M D, Sinum esse anguli MCD, ad radium C A; _ rectam HIO, hOc CH (PFCPTCEPA- rallelas) CHI, ejusdem aneuli Tansencem, ad radium PC. UF igicur Ordinacim applicata in C veloide, est Sinus es Arcus, ejus- demanculi, Aegrecarum, (ejusdem circuli, in Primaria; Ped, in Secundariis, diversorum:) Sic, in Conchoide, Oordinacimapplicaca elt Aerrecarum Sinus es Tangentis, ejusdem anguli; (e quidem ejusdem circuli in Primaria, 2i2. ubi PC = C A; sed diversorum in aliis:) Duod nos, quod sciam, primi deregimus. AueC POIIOCOIBimUS, uruE Conchoidis Planum OACHI. CaC IICa sIC magmicudinis, esse camen Soli- de Ficurae in superficie Spharisa 218. 36 Cor choidis Solidum.