# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0060
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0060?run=74
# 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 40, page id 824573315:0060
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=60
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000060.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.88
# 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.

Dde aneulo cont
a 1. Z
ns
dreumentum quarrum, leu Arcumentorum Classis quaertas
qnia quod omni posriva quantilare minos est
est non. quariuM.
Diunsam aliud Arsumencum, scu pocive aliam Argumen.
La corum clallem. Praemiccam camen hoc sire Axioma tirc
Pottulacum.
Quod est omni posiriva Duantilare minus, illud est non- quantum.
Aeg: hoc vel expresse alsumitur, vel Caltem eacice innuitur,
non odo apud Archimedem pastim, in libris DeSphara _ C. y-
lindro, De dimentione circuli, De quadracura Parabolu, De
lincis Spiralibus, Dexqui ponderancibus, _c, Scd _ passim a-
Pud Euclidem, uc in 2 c12, 18C12, aliilq: propolicionibur
innumeris; _ quidem in sis fere omnibus quae demonstrancus
Per dedluctionem ad ablurdum scu impossibile.
Exlemplum eRto 1a Archim. de dimensione circuli; in hunc len-
Cum: Circulus aqualis est trianeulo rectanculo, cujus larerum anculum
rectum comprehendentium alierum quidem aeguatur circuli semiuE.M: Ero
alrerum vero ejusdem peripberiae. Hanc aucem propolicionem hoc
modo demonstrac: Si enim criangulum illud sic vel majuo vel
minus circulo propolito; cko, inguit, differencia aequalis (pa-
eio (rerbi Bracia) A, aue alii cuiris altignaco. AC hoc, inquiE,
treri non porest; Ouonium poltibile ck heuram rectilincam cir-
culo inlcribere (quae isicur circulo minor cric) quae camen
ab illo criangulo minus deticiar quam eAt epacium altignacum A
quamulum enng; lic; icem Aiguram rectilincam circulo cireum-
lcribere (qux igicur major eric) qua camen eriarsulum illud
minus excedat quam et alhignacum spacium A, qeanculum.
cunq: demum lic; quorum ucrumq; ab co demonstcarur: Non
eRixicur eriangulum illua ret majus vel minus, quam circulus
propolicus, spario quoris allisnatili quanculum cunq: lic; eA
Sicur aGuIlC.
AC verO, quam Facile esset &e hanc e innumeras slias demon-
Prariones eludere. Si modo dicere liceae, Differenciam illam esse
Quiden omni asienaDili quencirace inOTeM, nON Caen nuI
Lant; ideoqi nec guoncirares provosicas esc a qusleo.
V