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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 232, page id 779785487:0290
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 92 lines, status machine
# Lines: 92 recognised, mean confidence 0.91
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23
E EXSC A I R A CF, III.
a Einontis e roridem circulis (u-
verhciei FCF; igieur eorum (p2-
rium decurtum, in reductione, a
XOFA CaIPAMA ACB, CA quadru-
plum decur(; a FOTA FCF; sed rem-
Pora lune in lubduplicata sparioru,
ve iam cories oltentum ett; Coni
vero lunc re tempora permutando,
igirur Lonus ACB, ett ad Conum
FCF, VE EF, ad AB; lunc enim
Spatia decurta ve Bales; AX VerD
in duplicara diamerrorum; cempo-
xa in Tubduplicaca Epariorum; dia-
metri in lubduplicara balium; Poni
ve cempora, permurando; igIEuE
Toni vediametri, permutando; quid
clarius; oblerua hic cancum à me
conliderarisonum, secundum ea-
tionem orauis, et acuri: hinc loni
Tunc in Cubduplicaca conorum eius-
dem alcirudinis, permucando, nempe
coni ciuldem alcicudinis, TunE rE
bales, id est in duplicata diame-
tiorum; isieur Coni, qui lunc in
Subduplicata balium permurando,
Tune in Cubduplicata COnOrUIm,
permucando.
Terrio, duarum campanarum
eiuidem balis, sed divertae alriea-
dinis foni, Cune in lubduplicaca
alcicudinum; Eine enim duae cam-
Pana conica, Ccilicee, quas hic
tantum contidero; CAB, PAB; GIE-
que alricudo DC, dupla DP; cerre
Conus CAB, es duplus coni P AB;
IGIEuE Campana C AB, Conticit du-
plum spacium, dum se se reducie,
_ PAB, aeque rensa subduplum;
Led rempora lune in Cubduplicata
Spaciorum; Coni ve tempora, per-
mutando; alcirudines re coni; igi-
cur ve spacia; isirur Coni in lub-
duplicara alcitudinum permutando;
Igicur Lonus ACB est ad Conum
PAB, in subduplicata DP; DC;
hoc cst ve cadix quadrari 1. ad ra-
dicem quadrari 2. id est ve latuS
quadrari, ad diagonalem.
Ouaito, quod vero spectac ad
superticies conicas, extra balim,
Lune in rarione compolita, laterum,
e Cemiperipheriae circulorum b2-
SS; V. 9. SInE COni CAB, CFF;
Superticies conicae, lunc in compo-
Sca laterum CA, CE, d Pemicis-
cutorum ALB; ENIF, id est Cu-
perticies coni C AB, exera balim, est
ad SUPeFHCICIM CONI CEF, VE FC-
ctangulum sub C A, & Pemicirca-
l0 ALB, ad rectangulum ub CF,
et Cunicirculo ENE; cum audis
lemicirculum, ne cogires quaelo
aream, sed semiperipheriam: Llinc
Polica AB, dupla FF, Superticies
Coni CEF, comparara cum Cuper
Acie coni CAB, est minor (ubdu-
Pla; si vero conorum bales Pune
aequales, superticies (une re latera,
V. 8. SInE coni CAB, PAB; CUPCTH:
cies illius est ad Cuperticiem huius,
ve rectangulum Tub ALB, e AC,
ad Fectangulum, sub ALB, e PA;
Led rectangula quorum alterum la-
tus commune est, (unt re alcicudi-
nes vel re alia duo lacera; hinc
Polica CD, dupla PD, Tuperticies
coniPAB, comparaca cum lupet-
Acie coni CAB, es maior Tubdu-
pla; quia Pa est maior subdupla
CA; denique si conorum bales 8
alticudines tune inaequales, lintque
coni limiles; Cuperticies conorum
Cune in duplicaca, vel alticudinum,
vel diamerrorum batis; v. 8. SinE
coni similes CAB, PFF; CuperA-
ciesillius, est ad Cuperhciem hu-
ius, re rectangulum lub CA, e
de ALB, 2d rectangulum; suD DF,
Tubdupla CA, _E ENF, Cubdupla
AL. B; igirur cum CA AC ad PL.