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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 55, page id 1047377675:0071
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.84
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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Xt
3V
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59
Epa
1O1
XY circa VS, in cacione compolies ex proportione crunci 34
CD aderuncum 567 YXC ee ex proporcione radii rotationis
L.E ad radium rocacionis ex P. Rario Colidi rocundi orri ex R-
Bura DC ad solidum ortum ex Rgura Z. X Y, eA compOIIEA,
exratione solidirocundi ex D C orri ad eruncum 34 C D, Cx
racione erunci 3 4 C. D ad truncum 567YX2, d exratione
crunci 567YXL ad Colidum rocundum ex Z. XY orcum; led ra.
eio Colidirocundi ex DC orri ad eruncum 34 CD est aequatis
rationicircumterenrie circuli ex Pemidiameero L. P delcripei 25
ad IL. alcicudinem cylindrici: de rario crunci 567 YXP. ad (0. huius
lidum rocundum ex XXZ. Orrum est aequalis racioni 1 seu
IE alcirudinis cylindrici ad circumterencium circuli ex le-
midiamerro Tes descripri; ee proinde racio solidi rocundi
orci ex DC ad Colidum rorundum orrum ex . XY eAt compo.
licas ex racione trunci 34 C. D ad truncum 567YXL, CKra.
cione circumterentix circuli ex semidiamerro L. F descripei
ad rectam II, de exrarione rectae IL. ad circumferenciam cir.
culi ex Cemidiameero Te descripei; ledhae dux poltremae ra-
tiones componune rarionem circumferenrix circuli ex lemi.
diamerro L. F. delcripei ad circumferentiam circuli ex semi-
diameero Te deseripei, quae eadem est cum rarione lemidia
merri LE. ad Cemidiamerrum Te: ee proinde Colidum rotun-
dum orrum exrocarione fgura DC circa axem LC est ad (o-
lidum rocundum exrocacione Agurx X Y Z. circa axem V Sin
ratione compolica ex proporcione crunci inferioris 34C Id
aderuncum inferiorem 567FXZ, e ex proporrione radiiro.
cacionis E L ad radium rocationis Tes, quod demonctran.
aUM CTAE.
C)
15
PR O P. 28. T H E O R F M A.
Fisdem posuis qua in antecedente; Proporrio suxerficiei solidirotun.
di orti ex rotatione baseos cylindrici circa communem baseos (st
opus est) produlta cum plano secante intersectionem, ad superfi-
ciem
l