# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/826605435:0091
# Permalink to this reading: https://leibnizlegible.com/page/826605435:0091?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 (shelfmarks Leibn. Marg. 84:1, Stück 2; Leibn. Marg. 84:1)
# Folio 79, page id 826605435:0091
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826605435&page=91
# Source image: https://digitale-sammlungen.gwlb.de/content/826605435/jpgs/default/00000091.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.

DE CTCLOZDO.
2ca 2 21154d 2 215 +01 7, sed 2 a11 S est CUEVX FOrEIO +N 2, 
2 21 5+01y est OI g: eA ergOUE 2 AD ad 2 AD F AO.
IEa POrtIO a’I a ad OI gI. GVare OMHeS O g GIUL (UMPEX SUINE
aequales duplo A D F A O _ unaquae que o g elt in eadem racione
ad Fortionem Tuam a a; _ Omnis a0, ad suam m a primarixe, hoc
CH, TunE a0 uc sinus recti angulorum Cuorum C mo ad Racium
A C. Ouare si Donitur recta PT aequalis duxlo A D pluS AO,
eique act rectos angulos P  aequalis iph A O, _ FanE Pa, P a11
Pa nus complementi aqualium angulorum ad Radium P I.
_ ducaneur cam a co, eorundem sinus recti ad Racium PC, quam
2 co ipE PT ubique parallelae _ jungantuE co co; PateC ex IIS
quae dicta sunE ipFaS 2 a aquales esse iplS 9O lingulae lingulIS, et
iPlaS a co ip(IS a0, quare iplae eriam y co aequales erunc iplis 80, _
Triangula rectongula coco y criangulis rectangulis 008. Ex vul-
earibus aurem F.llipseos principiis pacet Piguram Ta QP esse
Polrgonum quadranci Fllipieos inscripcum; ergo Polygonum L. a-
cerum indetinice minimorum quadranci EIlipseos inscripeum,
aequale est Polrgono Semicrcloidi concractae inseriprum: Erco
Crcloidis contracta curva C OOM, aequalis est semiellipsi cujus
Axis transversus est duplum A D plus A O, e Axisminor AO.
Fodem modo dust2 ei X paralleta ipsiS MII S, deMOnATAEuE UE
2 A D ad 2AD in AF, ica esse 2 a1 5ad 2 41 5 - d’X (Cive ad
e1 d) quare procedendo ue supra demonctratur curram C ycloidis
Protractae aequalem esse semielliph cujus aris eranlvertus est du-
plum AD minuS A E, _ AXiS INOE AF.
Scholium.
DAEeC FigUram COZM Y a. Curris Primariae e ConCrASIX
L cerminatam, esse meram semiellipEin in arcum ACXAI IEa UE
Axis eran(versus applicetur Crcloidi Primariae a parte convexd:
ec Figuram C a Y MZ C, Curris Primariae e Procrectxe cermi-
nacam, esse semielliplim, cujus Axis eran(vertus apPlICACUE, Pri-
mariae à parce Concard; hujus aurem axis propoicionalicer pro-
crahicur, manence Curvae Ellipricae dimentione licee recurretur,
Illius aucem proporcionalicer concrahieur manente Curva, licet
MAGIS CUEVCEUT. Pacet etiam ip (a5 04, e a C esse meras FIlipsecoM
ordinatas. Ouare non est per accidens, Ue Clarissimo Decorvilio Epist. ad
placuit, quod Curra Priiariae sic rectae aequalis, ex eg quod Curva Huoen.
obliquarum sine EHliplibus aeguntesi sed e conera Currae Obliqua P18. 7.
ruM