# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0107
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0107?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 85, page id 175905688X:0107
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=107
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000107.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 51 lines, status machine
# Lines: 51 recognised, mean confidence 0.85
# 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.

vecme
a-
AceTC
la
nibe
uC alcius
t
ne dua
InCUI.
L Z B E R Y E R Z F U 5.
vel 6 dimentiones habeat, uno gradu magis sic compo-
(IEUM. EC SC de carcrIS.
Caeterum omisi huc demonstrationes pluriorum,
gux dixi: quoniam ita faciles mihi vila lune, uC, (X
modo operam, methodice examinandi, num crraverim,
impenderitis, illa sua sponte robis sint occurtura. guin
etiam ucilius erit ipsas hacratione, quam li legantur,
addisCeKC.
Jam rero postquam compertum est Problema pro- S
policum esse Solidum; sire sEquatio, per quam illud Modus se-
neralis con-
quaeritur, ad Duadrato-quadracum adlcendat; LIVe nOn struenat
altiiis quam ad Cubum acturgat: Porest lemper radix omnia Pro-
ejus inreniri per aliquam trium Conicarum Sectionum, blemata So-
lida, redot-
quacunque illa tandem lic; aut etiam per iplarum pai- cta ad A.
riculam aliquam, quantum libet exiguam, nec utendo quationem
nili rectis lineis d circulis. Verum suftecerit rerulam
trium, qua
uorve di-
generalem hic adducere, inveniendiradices omnes OpC mensionum.
Parabolae, quandoquidem lxec aliquo modo eAt Cm-
plicistima.
Primo igitur collendus estlecundus Equationis pro-
politae terminus, modo jam non abtuerie, aequeita A
quatio reducenda ed hanc formam:
∞ = apZ. a aq 2
liincoonita quantitas. eres eantum dimentiones habcaci.
auc ad hanc: Z1 ∞ F. ap ZZ, aa9Z. a3r, li quatuor Ob-
cineac dimentiones; Seu lumendo a pro unitate, ad
hanc: 23 ∞ F. p Z. 9. aut ad hanc Z1 ∞ =. p ZZ
9Z. Y.
Deinde supponendo Parabolam S A. C7 jam deleri- y
peam esse, e axem ejus ese ACD R L, latulque rectum
a Teur, Cujus A C sic dimidium, e denique punctum
Cesse inera hranc Parabolam, cujus vertex lIE A: OPOF:
tet tacere CD 0 =p, camquesumere in linca A C, COn
tinuata versis C, si in Aquatione habeatur. L p: sed
et sus alteram parrem,  (I habCaCur = P. POFIO C PUA
+
Eto