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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 32, page id 824573315:0116
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.83
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# After the first blank line: the recognised lines in reading order, one per line.

BX
VR
XAP
De Sectionibus Conicis.
SAAD
VS
PROP. 12.
concinue proportionales. FrgO=O9-
VB, V5 _BS9. hoc elt. Xcoq-
B59
VBRV 20co4
BL VS RVAnar. 
=VA. Ideoq; proporcionales BSg. VB,VS::
BoGne
2a9
ar. VA. Ha.
betur ergo recta VA, adeog; ParaBOIX VerFex A, in CrUTC VB,
unde ducta AP cruri VS Parallela, eA diamecex Parabolae quae
TIEX.
HOc es. Si Conus ProPOsitus secetur Plano per AXem. quod Basi C. 0-
ni rectum si, trianculum facienieVB5: 5 frat, ut B59 quadrarum b . sit
drianculi, ad V B a V S rectaneulum subceruribus; sic
209.
ra Cquadratum
ordinarim applicarae in Parabola propolira, per Axem divilum.
Hoc eK) Lootus rectum Perabolae propositae Axi conveniens; ad V A di-
stantiam verricis Parabola a verrice Prioneui, in urovis ipsius crure
mensurandam; Et denique a verrice A recta ducatur AP opposeto cruri pa-
rallelas eique Planum erigatur plano trianeuli VBS rectum: Planum Boc
in superficie Coni facier Parabolam. CHi P arabOla PrOPASETA CVHCRHBI.
Demonstracio, per repetica Analyleos restigia tacile incti-
euecur.
Pari fere methodo demonstrari pocerie, Datam E lipsin vet
Typerbolam (de quibus postea dicendum exit ) non quidem Cono
cuiliber, sed salrem Conis quorlibet specie differentibus, oprari posse. Cu-
jus Provolicionis _e Demonstracionem _e Dererminationem lu-
bens praecereo, partim ne caediolim, nec velim erronibus inge-
nium luum exercendi caulam praeripere, parcim criam quuniam
illud intticuco nottro non eA necestarium.
er. atit
De Flips, sectione Coni facta.
N elixu Ouadrata ordinatim opplicatarum 
qualia Cunr differentiis binorum rectargulorum s
quorum quidem illa (majora) lunt interCeptis-
IdmetrI