# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0540
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0540?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 520, page id 851387705:0540
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=540
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000540.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine
# Lines: 74 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.

a
206. Ac, quancum ad rectam CF, vel planum huic intictens; aequipoller, ut
Ca LC1D P
magnicudine, lic e momento, semiertinaro ejuiaem cals, et allamis almiata.
Adeoque momencum habet Z R3 Z, e  distantiam cencri pravicatis d CF:
Nempe dummodo incelligant Semicirculo Cb F tecte insistere.
Ouxe autem de Crctorde Puata oltenta Tine, eadem omnia aliis Cpeloidunt
generibus, sive prorractis lire abbreviaris tacile applicantur. Id siguidem
Tolum intercst, uc Pro L. L Tect libique substimantur alix quae lint ac laS
in eadem racione qua valis Cycloidis ad Peripheriam Crreult BchetanLs.
Pars Secunda
ridem Z punctis cet B MaCad) aanCa ab A F recta est ubique F Y - 
Nam, proxier similla triangula, ut F C. = D, ad FZ = V: D - a: sic eadem
FZ = V: D =a: ad F Y, quae igicur est
. (Exponendo nempe quanti
tacem a Succeltive per 2, 2, 3, dc. quarum maxima sic D. Y
3. Si isitux CUErX C A f8. 8. aequalis extendatur recta C A Hg. 9. guxe incellI.
Sacur unes dirisa in punctis Z: atque a punetis 2. crixi incellisamur Z. X
ab a2. Rectae, respectivis ditanciis PY aequales; perque omnia puncta X duei curram
AXF: Exhribebune cum lingula
recta ZX tig. 9. (respectiris LX
tig. 8. aequales; lingularum Z pat-
cium aequalium, in Curra C A
Fg. 8. momenta respectu A F re-
etx; tum omnes omnium. Adeo-
que omnium Z partium aequa-
lium, hoc est COHUS CUrVR C.A
Ho. 8. momencum in suo licu, re-
spectu AF rectae, elE ad momen-
cum aequalis lineae in distancia FC:
jus parris, maxima TOSpenIa, (hoc esF de momentum maximum cories sumprum,) uc crili-
_ESpara neum A P C tig. 0. ad libi etteusteripcum parallelogrammum: Hoc elt, ut semi-
praptios parabola (quod mox oltendelus  6.) ad circumleripeum parallelosrammum;
rectis diamerro parallelis abscilta: quamque habent ha parabolae partes ac re
Centrum
urvae
i8. F
Vide a
calcem
bujus.
Ocentrum graritatis currae lemescloidis AC Hg. F. hoc est AC
riee proporcionalibus, crune item correspondences currX C Z. Rrichmetice proPOr-
tionales; et curra C A in punctis L. I aequales partes divita
2. Harum vero parcium aequalium Cquao lupponamus numero intinitas; et 10.
tis. 8. inveniendum, altumo tasquam d D. Wren = demonstratum,
cum curram C A duplami elle recta C. F, cum ubique C Z curram
rectae C. Z duplam eAte. Adeoque polita recta CZ == a, CFIE COr.
respondens curra C Z = 2 a. FF propierea, Tumpris chordis circuli CZ Prichme
Fiies
Centri
distantia
NB. II
itationi.
DIS
NOTaC Pa
Eootu.
praece, ab AP recta, duabus terriis rectae C F, SIVC Z L
dentis.
centrum candum cric: LTabenE utique OMenEa ParHUM curra C A fis. B. respectu A F
seemen-
corum
curva
A
recta, eam inter se rationem, quam relpectira partes semiparabolae A F C. tig. 9
spectiras partes parallelogrammi circumseripri, eam habene diltancix centrorum
Gravicans carundem partium (2b A P recta) ad tOCam F C
3. St Veto Plosulis rectis L R fg. 9. hoc est radiis circulorum punctis Z
crescirca (8. 8. CirCa A F rectam conversis descriprort, substimantur ubique rectae quae
partis sive uc 2 ad 3. EF consequenter, Ceherum sravitatis eurra C A tig. 8. diltabie
4. Et similiter de segmenti cujulris cum momento, cum cenrro graritatis judi
Supersin
AF de sinc ad has ut circuli peripheria ad ejusdem radium: Hoc est, li semiparabola
scripta. quae balin jam habet AC = 2 D, ee alcicudinem C F = D, incellisacur, super
cadem