# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0719
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0719?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 699, page id 851387705:0719
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=719
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000719.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 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.

abb
Y
II. Damm mcer aditatis.
P ROF
Si FiBlra plana circarectam quamvis in eodem plano ExPOSitam (guX
expolitam fgura non secet) converla, Figuram Colidam deleribat: Fix
Aquacus Tolidum le, eru Lmarico super eadem vel aequali 142.
Bale; altitudinem habenti aequalem Peripheriae (perfecta rel im
pertectae prout conrersio perfecta fuerit vel imperfecta,) quae ex-
politae Roura convertendae Centro Graritatis describitur.
Idem incellise, de Linea recta (vel curra) in plano illo descripean qux
converla intellisatur superticiem delcribere. Aeguabitur urique
haec superticies, superticiei super expolitam lineam erectae, alticudi
nem habenti aequalem peripherix quae Cencro sraritatis converla
linea describitur.
B.
Sin recta, cirea quam convertitur, expositam Aguram lineamre con- C.
vertendam secuerit: intellisendum erit de Ditterentia descriptorum,
ab illis conversi parcibus, qua utrinque ad recta secantis concrarias
Partes constituuntur.
Hinc icaque; Data sisurx plana, lineaere in plano, tum Magnicudine, D.
tum Centro craritatis, (hujusre ab Are convertionis distantia;)
datur fisurae, expolita convertione factae, magnitudo.
Dataque cum converlaen tum conversione expolta factae magnicudine; F.
datur diltantia centri graritatis converla, ab axe conversionis.
Data denique, cum maenitudine exposita conversionefactae, cum C’en- F.
crieraricatis conversae distaneia ab axe CoDrer GonIS; datur conver-
(x magnicudo.
Conversionem autem expositam hie dicimyo, quae quoca vel quanta paps sit
inteora convectonis, aut ipla inceora conversio, exponitur. Sup-
ponimus item, peripherix data Ponsicudinem datam esse.
Fstgue Centrum Cravicatis Onoula (sire solida sre superticislis) in
illo per aciem plano quod altitudinem bisecat; Solidi vero, aut s-
perseiei conversione facti, in illo pano quod conversionis angulum
vel arcum bilecat.
6
Atque hinc constat generalis methodus exhibendi solicum sigrre pla- Y1
na circa rectam quamvis in eodem plano descriptam (Paltem qux
iplam non secet) conrextione tactum; superticiemre conversione
lineae cujulris (rectae auE curra). In eodem ep conversionis ase
Plano descriptae. 
Flinc utique collisitur; Solidum convertione semiparabola circa re-
ctam in verrice Tansentem descriptum; ad Crlindrum qui simili
conrersione Parallelogrammi circumseripti cirea eandem rectam
Pangentem deleribitur; esse, ut 4 ad 5.
Similiter, si circa semiparabola balin COnVeKtatIE, tum Semiparabola, K.
tum Circumscriptum Paralleloerammum: Solidum illius, ad (oli-
cum hujus conrertione Laccum invenietur, ut 8 ad τ5.
Si circa lemiparabolae Axem, utrumque planum conrertatur; Solidum
Semiparabolx ad Coticum parallelosrammi convextione factum; in-
L
Si cirea rectam basi aejacentem, Axi parallelam, utrumque planum M.
Eit similiter, Ouxe corundem CChrersione circa aliam, quamvis in eodem N.
plano expolitam rectam (quae liguram non secet) in quacunqued
EEF:
Rancia
venietur uC F 2d2.
convertatur; inrenictur oorum ratio, ut 5 2d6.