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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 20, page id 898203430:0048
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=48
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 30 lines, status machine
# Lines: 30 recognised, mean confidence 0.86
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# After the first blank line: the recognised lines in reading order, one per line.

VINCENTI VETLAH PAO LOCIS.
OT ad OB ve BF ad BD, lcd OL maior est OB, ve superius ostendimus.
Insuper cum sIE C+ F aa L_ tel CH ad BF veb OD ad DB, erie per
murando GTI ad l D ve BF ad BD, sed BF nuper ostenla est maior BD,
ergo dI vercicalis tangens maior est sibi contiouo Leomento axis CD.
Ouod erat ricimo demonstrandum.
PR OLOSIIIOn.
20
22. OuiAVerD FO ad CCN BO, ad OD per conversionemrd
LOniC.
37. Prim
tionis OF ad F B, vel O T ad F B erit ve O B ad B D, de permutando
imminu un erso de verricalis tangens BF, maior est contiguo sibi segmento axis BD.
B36. Prir
LiOu1C.
Legaaunguo ut sectione. Rectalmu, qua pet anto
sectionem constituit, si producatur omnino cum resulatrice
ad alteram sectionis partem conneniet.
5t0C Oni -LLCIO GuCNquE A B, CUS 3XIS BC, Vetex B, TaustC.
L Aum BD nOrmAHIEeF ad B cum B C consticutum, transuexTUM verO
lacus sic BF in directum cum axe in secunda Reura Fyperbolam extriben-
ce; de in cerria, de quarta oblonsam, e prolacum F.lliplm reprelencanei
verticem ducta cum ipso axe anculum semirectum intra
BUS HC Ca axis B F, de in omnibus C repulaerix F D C, 2d
Parcem vero sectionis cum axe BC Hac ad B semirectus angulus C BX.
Dico rectam AB extra sectionem productam cum regulatrice LD u
In Parabola enim primae sigurae, quoniam regulatrix DE, axi BC equi.
dictac, d AB alteram paralletarum BC. lecat  B; Pola. e et.
GUR OCCUETCE,
roconvenire.