# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0646
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0646?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 626, page id 851387705:0646
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=646
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000646.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.94
# 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.

Libe
e R OP. XITI.
Pondus iaem ad idem Librae punctum applicatum; pro varia Librae ad
Horisontem politione; in plano ad tTorizontem recto (sire circa
Axem HTorirontalem;) Conderat in ratione Distantiarum a perpendi-
In Plano aucem ad Fteentem inclinato (sire circa inclinatum axem;)
in ratione distantiarum a perpendiculi succedaneo; Ceu recta quae est, in
illo plano, ad Florir ducalem rectam ad angulos rectos.
Et quidem, univerlatuis; Aiqualia Pondera, sire ad ejusdem, sire di-
verlarum librarum, utcunque ad Forizoncem inclinatarum (modo
circa Ares aequaliter ad Florizontem inclinatos, sive in planis aequaliter
inclinatis, rocentur) puncta quaelibet, appensa; ponderant (seu
srarant sua respectire Brachia) in ratione discantiarum à perpendi-
culo per Cuum cujusque Cenrum motus, vel hujus succedaneo, (illo
quidem, siin planis ad Horizontem rectisrocentur; hoc, si in pla-
nis inclinatis:) FToc est; utrobique à Perpendiculari per Axem plane.
CirCA AXeS VerO inaequaliter inclinatos (adeoque in planis inxgualiter
decliribus;) in ratione quae ex rationibus Distantiarum illarum 
Perpendiculo ejutre Succedanco, vel Perpendiculari per Axem Pla-
no,  Declvitatum Planorum, componitur.
Adeoque, Pondera Inaequalia circa aequaliter inclinatos Axes (adeoque
in Planis aequaliter decliribus:) in ratione quae ex Ponderum et Di
stanciarum illarum (a Perpendiculo ejusre Succedaneo) rationibus
CoMMPOnItME.
Circa AXes vero Lnaequaliter inclinatos; in ea quae ex Ponderum, et Di-
Stanciarum illarum, e Declivitatum, rationibus componitur.
Ncelligatur Libra, a situr Florizontali ACiB, ad sium a C 6, vel aCb, moveri;
puncto sui B, describens arcum Peripheriae BCb, in plano sive ad Horizoncem
recto, sire utcunque obliguo. EE compleatr CBCS
circuli quadrans. c ducantur rectae Cn DC, ipsi BC
parallelae; Perpendiculo (ejutre (uccedaneo) SC
occurrentes inn, c. Dico in cararione ponderare ex
posirum pondus in punctis B, 6, b; quae est rectarum
BC, En D C, distancias ab SC menturancium.
Pam, demiltis a punctis C, b, ad Libram in Pitu FIO-
rizoncali AB, perpendicularibus 65, bd: Ostende.
TUT, ex 4tiujus (ejusre Scholio) siCBCS planum
Sic ad Forixontem rectum; tancundem ponderare, re-
spectu altumprae Libex AB, pondera ex B, 6, b, pun-
etis suspenta, acque ( ex B, 5, d, luspenderentur. A.
deoque; Siline aequalia pondera; in ratione Distan-
ciarum BC, SC, dC, (per praecedentem;) hoc est
(propter parallelas) Distasarum BC, Cx, bC: Sin pondera sine inaequalia; in ra-
tione quae ex Ponderum ec Distanciarum rationibus componitur (per candem Prop.
Praeced.) Dux crant propotita.
Idemque in Plano inclinato, constabit ex 26 Cap. 2. Cum enim inclinacio plani
per 26 Cap. 2.) in eademratione omnes in illo Dlavo gravicariones minuit; in
eadem inter le ratione ponderabune in B, 6, b, punctis appenla pondera, in plano
inclinato, qua in plano ad Ilorizontem recto ponderasent (per 5 Cap. T.) HIOC
est (ut jam ostentum est) in rarione Distantiarum, E Pondera tunc aequalia; vel,
Rinaqualia, in ratione ex Ponderum et Distanciarum rationibus compolica. OuX
itidem probanda cranc.
Ouodantem eadem tic punctorum s, b, ab crecto per Axem Plano perpendieu-
lacis
culo per Centrum MOtuS.