# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1047377675:0082
# Permalink to this reading: https://leibnizlegible.com/page/1047377675:0082?run=74
# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 66, page id 1047377675:0082
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=82
# Source image: https://digitale-sammlungen.gwlb.de/content/1047377675/jpgs/default/00000082.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
# Lines: 33 recognised, mean confidence 0.86
# 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.

5C
Tolidi orti ex tioura OH Procara circa eandem Y 4; ABUra
quoque BACBLM dupla est Agurae B C, _ AGura ONP
TX Aourx ONP; cumque dimidia sine in eadem racione cum
Suis duplis; solidum rocundum orrum ex Agura ABC rOcaTA
circa rectam F F erie ad solidum rorundum orcum ex hgura
HOProratacirca rectam Y4 in racione composira exratione
Agura ABC ad figuram NOP _c ex rationCK HI adS 2, Ceu I
C ad RZ, quod demonstrare oporruit.
e et
h _ C  E.50d 
1
CONSECT A RIV M.
Ine sequitur, E cenera gravicaris Agurarum a rorationis
aD axibus aequalirer distene, Colida rocunda ex Ripurarum
rocacione genita ene in directararione iplarum tgurarum,
quod hfgurae ipix sine xequales, sequitur Colidarocunda ex
carum rocacione genica esse in ratione directa intercepta-
rum incer cenera gravicatis de rorarionis axes: quod sincer.
cepiae linc aequales de figurae criamli inter se dissimillime,
Colidarorunda ex illis orta xqualiaCrUnE.
S C HI O L IV M.
X dictis manitestum est inter duas quascunque fguras
cresesserationes, nempei hgura ad figur ams solidiro-
cundi exrocatione rnius tisurae genici, ad Tolidum rocun
dum exrocatione alcerius figurae genitum, de incercepre in
cer cenerum gravicacis e exem rocacionis rnius Egurae ad s
milem incerceptam alterius Agures c quibus duas dataster;
ciam ienoram semper pacetacere.
FR OP. 34. Z HI F O R P M A.
Si sint duae fieura quaecunques quae rocentur circa axes quo (cunque; ra
rio superficier unius solidr orti ex tali rotatione ad superficiem al
terius