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# 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 77, page id 826605435:0089
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 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.
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# After the first blank line: the recognised lines in reading order, one per line.

DE CXCEOTDE.
De Dimensione Creloidum COnFrRCtAEUI EE PFOETACtaTUI.
Proprietates quaedam Cycloidum.
IIper eandem BaSIM OM conAt ruantur tres Cycloides zenere
ditterences, scilicet CaM a Primaria, cujus genicor est AHI: F18. 20.
C0OM C. Vclois guaedam Contracta, cujusgenicor estO F D: X
C CF. M, CVelois quedam Prorracta, cujus genicor elt L.I I.
Prim:O, Guoniam C. Vlois cujulvis generis tuc ex moru aquabili
in pecipheria genitoris, dum incerim seniror mocu aeguabili
Eransfertur, Cuper dacam baCm, donec punctum generans circu-
lum ablolverit, a puncto contactus incipiens et ad idem rediens:
Frgo utrique Mocus, tam circularis quam rectus, erunt ubique in
eadem ratione. Quare in omni Crcloide, si ducatur Bali parallela
dGenitOre ad CUEVAI, UE FZ, vel H Y, vel HZ; erIC uE
MOTUS in arcu O F, ad mocum insemicirculo OF D, IEA MO-
Tus rectus F X, ad semissem corius motusrecti, scilicet semiba-
(IM DM. Simmiliver vE aECUS AHI ad semicirculum suum
A HD, ica EI Y ad semibasin. Idem dicitur de arcu F R et
recta RL.
Ouare potiris in directum punctis DR H F, quonia ArCUS
OF, AH, FK sunc in eadem racione ad Temicirculos (uOS,
eTunE recta FZ, HY, R Z. In eadem rarione ad communem
batim DM; Tunc ereo rquales, e puncta Cycloidum Z Y Z
in directum polica TunE; rectae isITE Z YZN, FHKD, sunE
aequales, e similiter sectae e postx: sed FD ec OD similiter
sectae sun: ergo recta XTZ H, O AFD similiter secta sunt a
Curvis Creloidum.
Secundo, quoniam angulus O D F eAt ad rectuM, ut aECUS
OF ad TericirculuM CUIUI, seU UE F Z vel DN ad DM.
erGO, ut MN ad DM, ita anculus M N Z ad Rectum.
Terrio, junganeur FI A, eique parallela duCatuE Y 9. Ouo.
niam demonttracum est Y Q cangere Cycloidem primariam in
Y: e530 NV Y cadit normaliter in Curvam primaria.
Theorema.
Curva Cycloidis primariae est quadrupla Diametri: S
portioni cuivis assienatur recta aequalis.
IC semibalis C D divisa in parces aquales mm indesinire
minimas; et d punctis m incidane ubique in primariam nor-
MaliceL