# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/85138403X:0056
# Permalink to this reading: https://leibnizlegible.com/page/85138403X:0056?run=74
# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 40, page id 85138403X:0056
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=56
# Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000056.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 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.

DE C+CLLCL.
4. FE similiter de Peomenei cujusvis eum MOMCHEO, TUM cen
ero oravicatis judicandum cric: Hlabent urique momenca parcium
currae C A Hg. 8. respectu Al rectae, eam incer se ratione,
quam respectira partes semiparabola A F C fg. 9. rectis diame-
croparallelis abscista: quamque habene iae parabolae partes ad re-
spectiras parces parallelogrammi circumleripei, eam habene di-
ltanciae cencrorum graricaris carundem parcium (ab A F rCCFA) 2d
TOLAM F C.
5. Si vero pro lingulis rectis Z Z A9, 9. hoc est radiis circulo-
rum punctis Z E9. 8. circa A F rectam conversis descriptorum,
Substicuantur ubique restae quae sine ad has ur circuli peripheria ad
ejusdem eadium: Hloc elt, E Temiparabola quae basin jam habee
AC un 22 e alricudinem C F  D, incellientur, Suxer eadem
bale constituca, alticudinem habere 4 A F = 2 P; essec ea semi-
Parabola requalis superticiei convertione currae C A Hg. 8 circa
A F rectam delCrIPEX; (nempe ZD P, sive 32 circuli genitoris:)
ejusque partes respectirae respectivis partibus hujus aequales.
6. Duod autem F. XA Ag, 9. Tuc Parabola, Sic ostenditur. Resta
D
Q. X sunc ubique ut =  per = 2,. HOc est, ut D =  a;
adeoque residux XC, hoc eAt E L diamerri, ubique uE a 2; hOc es
in duplicata ratione Z C, hoc est X E ordinacim applicararum.
Duod Parabola proprium est.
7. POrrO, ejusdem curra C A fg. 8. divisae uc prius in punctis
Z. omnium punctorum Z. (seu parcium xqualium his. punctis de-
SIONaEAEUI) dictantix a C F, suNE Z Y, hOc CA L 2 + 2 Y.
8. Adeoque SI CUIEVX C A A9. 8. aequalis exrendatur recta C A
fg. 20. Similiter divilas atque per divitionum puncta Z duCANEUE
rectae V Z v, ica quidem uc Z V Ag. 20. sinc respectivis 2Z E9. 8.
aequales, _ Z. v respectiris 2 P: exhibebune hae rectae V Z0 sinou-
Ix lingulorum currae punctorum Z momenta respectu recta C F
Fs. 8. adeoque omnes omnium. FIOc elt, figura F V C V A mo-
mentum rocius A C curvae (respectu rectae C F,) _ illius partes,
parces respectivas hujus.
9. CuM vero rectae C Z Hg. 2O. hoc CA C Z CUHVX Hg. 8. (IHE
UE C Z chordae in semicirculo equalirer crelcentes, hoc eA, ut
Tinus recti in quadrance CrelCentes aqualiter, Puca UE B V iN FrI-
lineo B C cA9. 7. (E nempe intelligatus c B in punctis V aequa-
ITC
Centrum
rum CArVa
et A
dato
Superficies
circa AF
descripea.
Centri cur-
va distantut
818. 10.
18.7