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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 6, page id 898203430:0034
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=34
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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 0.86
# 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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# After the first blank line: the recognised lines in reading order, one per line.

ry. peimi Contir
liotituo
INCENLIL VIMIANE PRO LOCISS
Eia VerO sumatur in ip(a CF quodcunque punctum D, de in singulis quod.
libet alud punctum O incer D. C; ac Der D, O applicentur ordinaciim ad
CD ICCIX RS, PC Cquarum RS in prinsa ce secua S 
2 ad D) quae SectionibUS OCCHETANE I C, L, N,
F, L, M, II. Dico, in omnibus, rectatisulum C. L F ad rectansulum
e in
2d 
FKHI esse 1
b ibidem.
C ex 16, CCF.
1 _ 2C PY.
distantes, qua otaatas lecene in P, L, de in 9. S. 1S
Jam, constat has, caldem Sectiones contingere B dd A, B. 
Fric ergo rectangulum RCS ad PFiO, aut C,RI ad PPH, ve C qua
 COnIC. dratum COntingeNEIS R A ad quadratum conringentis A P. Hidem rectan-
ibidem. Sulum RL S ad PKO, aUE L R N ad K P N esse ve a idem quAdFALII R A
ad idem AP: quare (in prima, d certia ficura, subtrahendo; de in secun-
da, colligendo) rectangulum C:L. I ad FK EI erit paricer ve quadratum
R A ad AP, vel re quadracum DC, ad CO. Ouod crat demonstrandum.
PROPOSITIO IV.
N Fyperbolis concentricis per diuersos verlbs smut
adscriptis, C5 quarum eadem sit secunda diameter tran-
Suersis coniueata rectancula, sub ordinatarum partibus
inteerantibus a Sectionibus comprehensis, sunt inter se
et guadrata sermentorum communis diametri l ad
quam ordinata applicantur) inter ipsas ordinatas, es
earum centrum intercepiorum.
 Inc Fyperbolae ABC, DFF per dilerlos verrices B, F; simul ad
Scripra, _e quarum commune CenErUM (V C communisque secunda
Temidiamerer C K lemitransuersis GB, C PConilgacas lincque orplinatx
quoreinque A C, 38 ad diametrum C Z, quam secent in V, L, Ser
ctiones veronin A, D, F, C; _ in. C3, 51, 65 8. Dicor rectangulum
AD. C. ad rectengulum 3 38. eAe. vc, qua dcuum CV. ad. Cr 2 Lp . vist
A communibus Sectionum vertieibus A,. B, ducaneur ipB C D aequi