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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 125, page id 1047377675:0141
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=141
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.89
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

Mb
aris punctoM erium plinorum communi sectione in lacus
coni AFlc perpendicularis rectaMF. Dico prramidem (Cu.
susbalis cst planum aquale superticici conicae AOFBIL. e
alcitvdO MF) aequalem eRe prromidi COnICA ALMOFBI.
Si dicae prramidesnon lint aequales, sc earum differentia as
se prramidiconicae in seribatur prramis AMCFBIL. conttas
ex prramidibus erian gularibus MOFA, MEBA, MBIA, MI
LA; eidem quoque prrammidi conicae circum scribatur alia
prramis conttans ex prramidibus crian sularibus MTIIdA,
MDCA, MCKA, ica re difterencia pyramidis inscripex _e cir-
cum seripea sie minor quam a. Manifectum est prramidis MFI
DA alcicudinem esse M F, ex suppolicione enim criangulum
FrDA conum cangit, _ ideo normalis Cx M ad ETDA in rectu
contactus seu lacus coni normaliter cadit: eodem modo
probatur M F ese alcicudinem, ex rerrice M, omnium reli
quorum prramidum erian sulariums c quibus conaacur pyea
mis circum scripea, e ideoprramis, cuius balis aequalis est
omnibus criangulis AHIO, ADC, ACR, d alcitudo MI,
aequalis est prramidi circum scripeae; ae proinde maior prra
mide conica, sed maior criam eAt prramide cuius balis est
planum aequale superticiei conica ACFBIL. de alcicudo MIF,
quoniam eandem cum illa habens alcicudinem, balem habce
maiorem, quippe illi ( dum connexa existic) circum scriped.
Deinde preamis criangularis MCTF A (POACA vertiCCM) mi-
norem habee alcicudinem quam M F, quoniam eius baHS Ca
dicinera supertciem coni, eodem modo omnes prramides
triagulares prramidem inscripram componences minorem
habene alticudinem quam Mt, de ideo prramis (cuius alci-
tudOMF _ balis egualis balibus omnium preamidum erian-
Sularium prramidem inlcripeam componencium) maior est
prramide inseripea, Cedhaecprramis minor est prramide
balem habence plonum aequale superticiei conica ACF BIL
e alticudinem M F, quoniam eandem habens alcicudinem
basem habee minorem, nempe illi dum convexa exittirin-
TCrIPEALd3
l2