# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/824573315:0133
# Permalink to this reading: https://leibnizlegible.com/page/824573315:0133?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 49, page id 824573315:0133
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=133
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000133.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.82
# 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.

PROP. 21.
De Sectionibus Coniers.
culus diameerum hahens BS, qui cem criongulo VBS angu-
dum inclinarionis faciac aqualem anculo arc; eias paralleli
ed comnum
aL
nannonannandb
49
Cireui alii infniti suxronantur, (diamerros habentes in erian-
Bulo VBS ipE BS paraHClaS) qui COnM VBOS compleane
(Per PCI D 8 per cuins axem incedic VBS Triangulu (quip
ve in quo reperiemm omnium circelorum paralsclorem dian
MecTI.) TOM ccipar EIAKUM APO eiareulo YBS rectum,
quod iei ur sccohse circulum SC. B recumdum rectam PO, qu_
(Prorcer anen un. ctum RIB rcCUB) perpendicularis er Tre-
AX 2S, per Z8 g 4d 1, CLN FWIL.r: q. AFO constitCeL AqUA-
dem inclinacioni FlANArEM, TCF CEMI, adeOq; anculo anc, d
Fianum ie iur eIC), cenisce ienem .ACiC PO: cumq; IpLUS
diomerer AP ParalIcta lic VS oppolico cruri crianeuli Fer-
axm; lccrio illa erir parebolo, guolem di Ccrir (in uS PrCP 7.
Cuc indc pacet;) hoc cR, Gualem detinie ApollOnius PrOP. 11.
lib 1. Ccnicorum.
Scd _ cidem ceroruit Porobcla proposira, a nobisdctnica.
Na quadracum IC (= BF xPS) aOVaTur QUodrATO ne (=
maran.) cum he (ex cenAtrveione) ra FB, _ an = P5; adc09:
_rcCIa PO = rco. Scd 8 (ex constructione) AP = an, _ angu-
luo APO =O (UEC Aer Sum CA:) CONGTHUNECTBO HCCX AP,
PO, rectisam, na, (_ aneulus comprehensus ansulo cempre-
hen(o:)