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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 334, page id 175906937X:0358
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=358
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000358.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.
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# After the first blank line: the recognised lines in reading order, one per line.

334
E L E H. C U R Y A R U M
per 13 pri acque in ratione ut lad 8, eadem sic ratio rectanguli FBC ad
BE quadratum, quae est lateris cranlversi ad rectum, hoc est, yx
lad8: ex praedictis palam est Fore uc l2d8, 1taff = X x ad py.
hoc est, esse ∞ ff = x x. Ouod eo calu demonstrandum erat.
Ac In quancitatum incognitarum primo conceptarum und ex
aequatione sublata aliaque in ejuldem locum juxca Regulam al-
2Z
supEa, aequatio sic ∞ff = XX: auE Z aNUIMPEA CTIE PTOY 8C,
aUEPFOY 8= aUIEPFOY 8C8
V. P. Exprimum quidem, si Z asumpea Fuerit pro y 8C, ducenda est
per punctum A recta AD ip (I B F paralleta ac ∞ c, ita uE, S1 Z
Fueric assumpea pro p - c, praedictum punctum D cadat ab eadem
parre lincae AB, qua datus vel ConceptuS est anguluS ABF; sin
concra Z Fuerit allumpea pro y. Lc, idem illud punctum D ab al-
cera parte linea AB reperiatur. Deinde ducta per D recta DH
ipE AB parallela, quae secet rectam B P, productam versus B, II
opistuerie, in puncto K, erit quae sita Fllipleos diameter in recta
DK, ad quam ordinatim applicata cum ea angulostaciant, dato
vel astumpto angulo AB F (eu DR F aquales. Punctum autem
Dcentrum erie, d lemi-latus tranlvertum ∞ f. quod in dictis
diametris per lineas DV ee DI exprimatur, erieque ratio erans-
vertilaceris ad rectum, ut l ad e.
Si enim praedicta Ellipsis delcripta intelligatur trantiens per
puncta L a V, qua supponatur secare rectam B F, ad praedictam
diametrum ordinatim applicacam, in puncto L: crie K B F ∞ y LC,
ee K P. ∞ y - c, id eoque eadem R B P vel R F Ca ipla, quX PTO Z
alumpea est. Cum que LR SIt ∞f. L ∞, _ R V ∞ f = x: CrIEre-
ctangulum LR V ∞ ff - x x. Accum eadem sic ratio dicti re-
etanouli L K V ad quadraLUM Cx KB F vel R F, hoc el, 2d Z
Z
quae estlaceris transrersi ad rectum, hoc eAt, uc l ad g: crit ut l ad
8. itaff - X X ad 23
Z. hoc est, erit
(1 I SIc ∞ 8, idem est aC 
22
∞ff - X X. Ouod quidem.
∞ff - x x. Reque hic iterum Facile ap-
Paret, quod, existence ansulo DKB F. vel D H F recto, e l ∞5,
hoc eAt, rectangulo L. R V ∞ IE F. quadrato, praedicta curra Cir-
CuluS SIE SUEUTa.
5. 2. Aerero, (1Z aumpra Tuerit proy 8 a. sumpro in linea BF.
PIO
mi hujus.
Casus 2Au5,
cum LOCuS
est vel FIi-
Pses vel Cir-
culi circum-
ferentia.