# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/85138403X:0054
# Permalink to this reading: https://leibnizlegible.com/page/85138403X:0054?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 38, page id 85138403X:0054
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=54
# Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000054.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.87
# 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 CrCDVIDE
Eemicirculum C b F, alcicudines vero Z2 (fig. 7. vel 8.) respectire.
Cum enim (590) Ponatur C+ momentum Eolidi ex circulis ra-
diorum V: Z2 XZ. T: qui lunc itaque ad rectangula 22Y vel L2X
2Y, uE circulus ad quadracum radii, hoc eAtuE Z P ad R, sive
UE P ad 2 R; Ccque (per Praeced.) C + = = B~ + =R. ∞
=RP.
R D: Si pro circulis substicuantur radiorum quadcaca (divi-
dendo per Pe multiplicando per 2 R,) habebieur = R= P.=
R momentum dicti solidi (ex omnibus Z 2 Y rectanoulis) ce-
spectu rectae AF. FK aucem Colidi hujus mionicudo, ZR P= (~-
qualis ucique Cylindro quadrantali, cujus basis b C F quadrans,
alcicudo F A=-ZP; vel Semicylindro cujus bats CBF Semicircu-
lus, alcicudo =AF = LP: propcer duas ubique alticudines, a
ecIO UETINGUE XQUE LCMOTAS, rectae F A Cimul aequales:) Pet
6AR
quam magnicudinem si dividatur momentum, prodibie, R-
dictantia ceneri gravitaris a recta AF: adeoque 64 R
distantia a b 6.
OPa
P2 Rejusde
206. AC, quancum ad rectam C F, vel pianum huic intictens;
aequipoller, ue maonicudine, Be e momento, Semieplindro e-
suldem basis, e alcicudinis dimidixe. Adeoque momentum ha-
R.
bec E PC P, e = distanciam ceneri gravitaris a CF: NemPC
dummodo incelligacur Semicirculo C b F. recte insistere.
Duxe aucem de Cgeloide Primari a octensa sune, eadem omnia
aliis Cycloidum generibus, sive procractis sive abbrevi-
atis Facile applicantur. Id siquidem solum incerect, uc
PrO ZZ rectis ubigs substicuantur aliae quae sinc ad has in
eadem ratione qua Balis C gcloidis ad Peripheriam Cis-
CulI GEMCTANEISO
18.8.