# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:1005
# Permalink to this reading: https://leibnizlegible.com/page/851387705:1005?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 985, page id 851387705:1005
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=1005
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00001005.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.90
# 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.

PFODTII. De Trochlea, seu Polyeasto.
que sie porro quousque opus fueric.) Hocest, Vis in V, aequiollebic Ponderi
in P, quod ad eam tic in rationis dupla ratione cories mulciplicaca quot lunt Orbi-
culi: Nempe, inratione Dupla, Ouadrupla, Oetupla, Sedecupla, ec. PFOUEn.
merus Orbiculorum (IC, Y, 2,3, 4u ec.
Casus II (5 TII.
In Fi3. 277, 278, 270. ubi Funis Ductarius V ABC, ac. cingulos. Orbiculos
circumiens pecrinsit ad V punctum applicationis Virium: Si intellisacus Fondus
Pendere ex B (continuato tunc AB ad
Pondus P vel OP C, ibique terminato,)
Visaequipollens in V vel A ae Pondus P erit
UE F ad F, DeT PFOP. C. HujuS.
Si AB orbiculum BC l ex quo depen.
deat Pondus) circumiens figatur in D; erit
(Der PrOP. 2. hujus.) Vis in V vel A ad
Pondus P, ut F ad 2; eo quod, elerato Or-
biculo BC (cum appenso pondere,) tancun.
dem abbreriatur utraque rectarum AB, CD:
quantum aurem ucrique demitur, cantundem
per A cransic adV; uchieririum Promotio,
Dupla ascentionis Ponderis.. Idemque acci si
deret, si Funis V ABC.D, orbiculun D F.,
circumiens pertinseret ad P ibique figere,
tur; (non quidem ad Pondus quod subte oi
vandum cst, sed ad clarum aliquem seu pa-
lum tixum:) Cum enim, propier F pin- siile
ctum fixum, recta HP neuriquam abbrevias
recur, nihilque inde trantiret ad D; porr
inde est ad Vires in V vel A; Sive in F. vel
E figatur funis; sire in D.
Si vero Funis V ABCDE F continualollo
tus, cum Pondere connectatur in B (uE B
mul cum pondere punctum L eleretur:)
DEOPICE ReCtAS ErCS AB, OD, F. F, cancun 
dem abbreriatas lingulas quancum est AScen-
Tus Ponderis; omnium abbreviationes per A ad V transtaras; vel (quoa ege
recidic) Labesser orbiculus V A, ulera A procractas; erir Virium Promocio ad
Ascensum Ponderis, ut 3 ad 2: adeoque Vis ad Pondus, ut F Zd 3. (per prop. 5
CaP. 2. C est
tut
Similiter oltendetur; continuato FUNONV A BCDF FIC dd H, ibique fixo
Vim ad Pondus (propter abbreviatas quatuor rectas AB, C. D, F. F, G L1 V’esté
uc 2 ad q. EG concinuaco per T ad H, ibique cum Pondere Connexo; Wc H 25.
EE, Continuato per L. ad M:  uc X ad 6. Aeque Sic porro prout Spus erir. LP qui
dem, quories tunis extremum cum Pondere connexum elt, (ue ad LL;) uc F ad
numerum imparem; quories entra tixicur (ut ad M,) uc L ad numerum parem.
dC HOL ZV M.
TOcandum hic est; Chordas omnes seu Rectas abbrevianeas, uL AB, CD, F F
NGFI TK, LM, Sec. tanquam Parallelas habitas este. EF quanguum it
Frochleis non raro concingat, (ut in f15. 278, 279.) ut a Parallelisno nonnitus
recedant; eo quod Orbiculi inxquales elle toleant, quoniam s inricem aequales
eltent coinciderent Chordae seque inricem impedirent: cancillum camen illud elt,
ut nestisi soleat.
aut horum Cyntasma, alligatur tunis, perinde elt acti ad ctarum extra positum
figeretur:) Interiores aurem (eorumque Gyntasma) eum Pondere connexos ese,
e juxca cum illo accratii. Ab horum iiaque, non ab illorum, numero decerminatur
Virium Pocentia.
Notandum iiem, Orbiculos superiores, lel (D IIROS elle; (quique det hOS,
L21111
Lrocalea