# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0142
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0142?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 126, page id 1047377675:0142
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=142
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000142.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.85
# 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.

F26
Ecripram, ee ideo prramis inscripea mulco minor est eadem
prramide balem habence planum xquale superticici conicE
ACFBIL d alcicudinem MF. Ccd pyramis inscripea criam
minor est prramide conica; prramisisitur inscripea minor
eA prramide coniea er minor eriam preamide conicam (u.
perticiem basem habence, prramis rero circum scripea utra-
visharum pyramidum demonstrata cA maior, et ideo maior
est differecia incer pyramidem circumscripeam et inscripeam
quam incer pyramidem conicam ec prramidem quae Cuperhi
ciem conicam probase habet; sc d differencia interpyrami
dem circum Ccriptam ee inscripeam eAt minor quam a, de pro-
inde differentia incer prramidem conicam e prramidem
(duxe supersiciem conicam pro base habet) est muleominor
quama, quod cA abCurdum, ponitur enim a differencia inter
dictasprramidesi non ergo differunc pyramis conica AMC
EBIL _ prramis cuius balis eA superficies plana equalis co-
nicae superticiei AGEBIL d alcicudo recta MF, de ideo
aquales lune, quod demonstrandum eroc.
Ex verrice coni Ainbalem prramidis COniCA MCFBII. (A
OpusCA) productam demitratur perpendiculoris recta AI;
manifeltum es ex hoc Theorcmare M F eHe ad ANVEDaHIS
Pyr.midis conica MG EBI L. ad superficiei COniCX pOrrIO.
nem ACEBIL.
P R O P. 68. Z HI P O R F M A.
Si in rectilineo quocunque aequilatero assienetur punctum; e ab illo
puncto in omnia rectilinei latera demittantur perpendiculares
recta; erit rutanculum ex semisse summa perpendicularium es
es perimaro rectulinei ad rectilineum, vt numerus laterum re-
Etilinei ad unitatem.
SIcrectilincum aequilaTerUM ABCDE: a puncto O intra
rectilineum demiccantur in omnia rectilinei lacera PeI:
Den.
U
e
21
et