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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 29, page id 824573315:0241
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.88
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# After the first blank line: the recognised lines in reading order, one per line.

PROISO
Arithmetica InsinouM.
parcicularum cermiais ad cangencem itlam roridem OraIMa
eppliceneur rectae, (Parabolae diametro propierea Paralclas
ee Facientes ad T’angencem angulos
rectos,) TO, TO, _c quarum minima
dicacur e; crum illa ad hnricem per
DEOP. 23. uc numeri quadracici 13 43
9, 26, _C. & carum difterentiae uc
233, 5,7, _C. numeri impares dein.
cepo ab unicace; (quarum difterenci.
arum maxima erit 2n L.) Rceta Da-
rallelarum illarum cerminos (in linea
Parabolica constitucos) ConneeLeMLeS,
(quae erene proprerea ipsi varabola
deinceps in (cripcae,) crumnE V: a
tr. V: a2 +0. V: a t25 ~ a x +9_C.
(quippe gnarum quadeaca per 47 C1.
aequancur quadracis cam parricula
rum a quam differenciarum inter
preximss qualque parallelas, hoc cAt,
numerorum imparium.) Ouae qui-
dem rectae (parabolae inleripiae) quo plures Fuerint, ed propius
ad parabolica meN (UIEAI RCCCdEC CATUI OMNIUII aBBPEGATUMS
ica camen ut ex omnibus sic apsresaca recta sic ipsa parabolica
MinOr.
Sin velic aliquis rectam jucta majorem (ut constet inero quos
cancellos decerminare possic parabolica lonsicudinem;) neque
disticilis eric haec inrestisacto, cangencium ope perticienda.
Si vero curra AOO, non supponarur Parabola, (es parabo.
Loides Cubicale, Biqu dricale, _c. Idem procellus e IE, Wuca
eis mucandix, acque in Parabola Sumendae enim pro paralle.
larum differenciis, non 1, 3,5, 7, _c. differenciae nMerOruI
Ouadracicorunis led 1. 7, 19, 17, _c. diAErEMLIK ILIErOrM Cu.
bicorum; vel F, 75, 65, 175, 8c. differentia numerorum BI
quadraricorum: _c. prour Paroboloideos eiulq; natura PO-
Aulec: adccq: inseripex erint V. a 2 + 1 V a = F a9 8c, vil
V: a 2 F 2. V: a 2 F 225 8C. & lic deinccps. Ic CZ interius Era-
dendis pr. 45. DaccBIE.
Padem