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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 265, page id 175906937X:0289
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=289
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000289.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 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.
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# After the first blank line: the recognised lines in reading order, one per line.

A
L I B. II. C A P. TI.
AB versis A producatur ad C, ita uc rectangulum sub praedicto
lacere recto e parte Ci A contentum sic ∞ d d, rectam (B qua-
leam Fore diamerrum, ejusque rerticem praedictum C punctum:
aC proinde ee dd per praediccum latus rectum, hoc elt, pei
ade
rilum aequari lonsicudini C5 A, idcoque O A Fore ∞
B
ab
di-
246. Quare
E diametro CB de latere recto CF ∞ = in dato angulo Para-
bola describatur C D d, secans A T ip (i F D parallelam in L: di-
Cocurram ID d Fore Locum guae (itum.
Verum obiter hic quoque nocandum renie, praedictum verti-
cem Cetiam inreniri hoc pacto: sinempe F. A producatur ad C,
ItA UE AC SIE ∞ = dc deinde per punctum C ip(i D F parallela
ducatur C C, occurrens productae AB in C: erit enim in eodem
illo concursus puncto rertex quaesItuS.
Demonstrario.
Sumatur in praedicta curra punctum uccunque, veluri D, du-
etaque D E in angulo AF D, daco vel assumproxquali, secante
diametrum CB in B: Crit, ex constructione, BF ∞ -; ideoques
B
sED rocetur p, erit D B ∞ y -- -= (eu Z; FC ∞ =, G A ∞
ade
eab AB ∞ =
 Totaque OB ∞
20
2
ade q ex
2ab
2a Ac cum ex proprie.
cate Parabolae D B quadracum sit x quale rectangulo FGB, erit,
2ab. dde ex
Tacta mulciplicatione iplus Z in se iplam, acque
2ab 2a
R∞dd F bx. Ende Substicuto y = = loc0 Z, obcinebitur
bxy, bb ∞∞
a
+aa ∞ b x F dd, id est, yy - bxy
L dd. Ouod erat demonstrandum.
d.
bb~ X L b X
Aa
Quoniodo autem pro casu hujus exempli converto Parabola
describenda sic, ex comparatione ejuldem cum antedictis facile
est colligere.
Si xequatiotuerit.
 + b9-
bb97
 =6630 XX - 2b7  - 6di3
aa
aAUI-