# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0874
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0874?run=74
# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 854, page id 851387705:0874
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=874
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000874.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 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 Calculo Centri Cravitatis.
Cap. V.
Eix. 177. Omnes V 2B R, hoc est ipla n V, fi8. 279. Adeoque Omn. SY. a IV
fi8. F77. SpeCtanteS aequantur ipsi portioni parabola AH = V Fg, 279. HoC cA
ERE - ZhV 2BR, per prOP. 6. hujus. OuOd (PFOpter 2BR = X =, e B =
2X 1) cancundem est acque 3 R2 - X =, in G C. repertum; seu Omnes, s, (vet
3
Omn. EV: 4. R 2 -
) Tumpris AB = 2c arichmetice proporrionalibus. Nempe
AAV x E∞. 179. = ABV Fg. 282. (Similiter divilis AX, AZ, HB. X77, +82. in pun-
etis b;) HOc ct, Omm. s, lumpris Ab = 26 arichmetice proporcionalibus; idem
acque Omn. sV = =, Tumpris A V = 2 arichmerice proportionalibus. Otrumris
enim est iplius Ab momentum, quantum ad distantias B V.
AC Omnia =, - Y 2R, Teu Omn. a V = , TumpriS V AriCHIMELICE PEOPOrEO.
nalibus; puta Colidum AB V c F∞. 285. Cex rectangulis B V a COnCatuM) Per B,
hoc est aO, vel VO, diritum; tancundem est aeque planum ABB F∞. 182. Seu
Omn. an Tumpris Ab =2c arichmerice proporcionalibus: (Orrumris ucique elt
momentum Ab Fc. 177. quancum ad diltantias bB.) Adeoque cum horum 29-
gregacum deprehentum ct (SC.) = 240 = 8 R + 4 X R; tancundem erit es
AxCregatum Omn. a V Z sumpris AB = u, ariitimetice proportionalibus. Ouod
quum ibidem deprehentum sic, non opus erit uchie solicire investigenus. Aique
hinc religua deducentur, ut ad96.
19. 1
Sed et idem Colidum ABV a Fis. 185. (quod complent omnia b V a rectangula,
 Tumpris v axictimerice proporrionalibus;) complent eriam
seu Omniaa BV 2 A
alia plana rectis XF (aqualiter ab invicem distancibus) crilineum AB V complen-
ribus intistentia, hoc est coridem rectis, qr - 9X. Sunt autem quae singulis b(E.
seu qr insiltunc plana solidum complentia, respectiris A V cco aequalia; (ut CX
constructione ficura patet, si incelligatur A aOa planum, super plano Ar a ad
angulos rectos crectum, moru tuo vertus r, Tolidum describere.) Adeoque omnia
qr plana; cancundem sunc acque, BV = a in planum AV coco; hoc ettu in du-
plum rectanguli A Y o; hOC Cs (per SB, C. ) in 20 a BY = = 2 B Y 2VR;
hoc elt 2 AV XBY = Crotuo AZ = _, d AV = V; d seu 2 AXBYZV R;
seu bV p rectangulum, in alticdinem 2 B ductum; vel Duplum rectanguli bY P,
in B ductum. Ei, eactem racione, Omnia X 9 plana; tunt coridem Aoco planis X.
qualia; hoc est, rocidem 2 vX B Y Z =, seu 2 BV 2 V R, (sumpris a ariitime
niec proportionalibus, ) usque ad maximum V = b R. Adeoque 2 AB Y ZY R,
dempris