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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 21, page id 824573315:0041
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=41
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 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.

e semicirculi.
is (tire aans Corcaclus re aliis) ad rectilineas compararis
perpecuo accidic; propcerea quod curra inclinationem luem in
Tingulis punctis mucet, recta vero eandem semper inclinatio
nem retineac; adeoq; quamvis carum in iplo contactis puncto
eadem fuerit inclinacio, poltquam tamen ab eo recelsum est A-
unc earum inclinationes ad invicem alia acq: alia Non igieur
reguitur, angulum mictum angulo rectilineo aqualem esse non
POBC, QUAMrIS NON IETRG; COTLM CFITa, exEra punctum COnCa
AtuiS, COnGTUANE. ACgi ica ea quae C lavius adduxic, ut probet
angulum contactiis e rectilineum heceroseneos else, ee non eju
dem generis uc inter eosaliquam racionem esse dicatur; Tatis re-
Felli judico; adeog; nitil LUDCTESC QUO MINUS AFSUMDEMCIBI CX
_ C 10 delumprum legicime concludaco
t
Ct V
anculorum Plarorum QuoEreIa confIrMaIUT.
TErum nequis exittimee, id lacis non esse, ea quae in contrarI
um allaca Cunc retellisse; nili et astirmacire concludam,
angulum contactus, s quidem angulus sIc, reliquis angulis pla-
nis, de nominacim rectilineis, homogeneum esse: Sic arsumen.
FOr.
10 Ouxe mucuo possune ret addi vel auterri; ca non lunt he-
cerogenca: (Ouis enim unquam Lincam Solido, auc Supertici-
em Numero, vel addiposle, vel auterri dixic Pollune quidem
aoruuersa, live incommensurabilia, inricem et addi & auterri, uE
in Binomiis e Apocomis nocum cA, _ pastim in X Buclidis: Hc.
cerogenea veronon poltune, led plane lune àou BAn.) ACan-
culus contactiis, E quidem sic aneulue, d recto auterri Doceltu
uc mancat angulus semiciculi incernus; ec recto adjunsi potcst,
uc hac angalus Cemicirculi externue: (ar9; idem oRendi porcse
Si ad alios quotris an sulos planos comparetur:) Non est ipieur
Heterogeneus.
Alujus aurem arsumenci vires, vel quod Pelecarius monverit,
vel quod ipse praelenleric, conatur Clavius quancum porest, tru-
lra camen, declinare. Idceo: negac se Angulum contactus al-
acrere rectilinco Cimplicicer Hecerogeneum este, sed quodammodo
diversi generis, (eo nempe quod angulum rcctiliRCUT: guancum