# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/85138403X:0055
# Permalink to this reading: https://leibnizlegible.com/page/85138403X:0055?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 39, page id 85138403X:0055
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=85138403X&page=55
# Source image: https://digitale-sammlungen.gwlb.de/content/85138403X/jpgs/default/00000055.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.83
# 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.

E
O73
B 
3
o
ars Secunda
D cenerum gravicatis curvae semicrcloidis
A C Ag. Y. hoc elt A C fg. 8. inveniendum,
altu O canquam a D. WV ren  demonstratum,
Centrum
C
cum curvam C A duplam eRe rectx C F, L19. 1. 8.
cum ubique CZ curram rectae C 2 duplam = Vide ad
este. Adeoque Posita recta C 2 = a etie correspondens curra salcem hajus
CZ = 2 a. Tic propcerea, Cumpris chordis circuli C Z acichme-
rice proportionilibus, Crum item correspondentes curra C L
arichmerice proxortionales; ex curra C A in punctis L. in aequa-
les partes divita.
2. Flarum vero partium aequalium (quas supponamus numeio
intinicas, ec cocidem Z. punctis detignacas) distantia ab A F recta
est ubique F Y =
d
. Nam, proxrec cimilia criangula,
UEF C = D, 2d F Z= V: D=  a: sIC eadeM F Z = V: D= un a3
ad F X, guxe igitur est
D2= a
D
(Exponendo nempe quantica
Eem a SuCCeSIre PEF L2, 3, G5 C. GUAEUM MaXIMA SIE D.)
3. Si igitur currae C A A9. 8. aequalis exrendatur recta C A. Cemert un
A3. 9. Quxe incellisacur similicer dirisa in purictis Z: aeque à stantia ab
punctis Z. erigi incelliganeur Z. X rectxe, respectivis dictantiis F X At
aequales; perque omnia puncta Z duci curram A X F: Fxhibe.
bunc cum lingulae rectae Z. X Hg. 9. (respectiris Z X H9. 8. Xqua
les) Cingularum Z. parcium aequalium, in curra C R Ag. S. momen-
ea respectu A F rectae; cum omnes omnium. Adeoque omnium
Z Parcium aequalium, hoc est EOLIUS CurVA C A Hg. 8. momen- NB. In ci-
cum in suo situ, respectu AF rectae, est ad momentum aequalis linea cationibus
in distantia F C maxima Puspentae, (hoc elt, ad momentum maxi- = noTaE P2
mum eories sumprum,) uc crilineum A F C fg. 9. ad sibi cir- ragraptos
cumlcripeum parallelogrammum: Hloc est, uc semiparabola (quod hujus par-
mox octendetur  6.) ad circumscriprum parallelogrammumm; TIS, e SP2
EIve VE 2 dd 3. FE CONsEGUENLEF, CenErUM GraVIEaTIS CUEVX C A ragraphOS
18. 8. dictabie ab A F recta, duabus terriis rectae C F, sre Z D. Partis PEX-
A. LC cedencis.
o
rva C .
L15. 9