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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 13, page id 898203430:0041
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=41
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.88
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# After the first blank line: the recognised lines in reading order, one per line.

VEL LIMIT. ORDINALIONVM CONC. LLV. L.
Vum enim (it F F ad FB ve FL ad L B, ers PerMiuLL, a L H
E B ad BL, e compo-
nendoEF CUM FL, hoC
est F. L cum duxlo L F ad FL, ve
P L. ad L B, _ sumptis ancece.
dentium terminorum dimidiis.
ML. cum L F, hoc est vnica
M E ad FL, ve M L. ad L B,
ee per convertionem rationis F. M
ad M L, VE L M ad M B, de
ve disterentia F L ad differen.
tia I. B, _C VE TOCA LCCANS FF.
ad F B extra sectionem. Ouod
crat primo_c.
FE CUM SIE L NI, 2d MI B VE
FI. 2d Y B, Cric quOquC P M
CipA L MI aequalis) ad M B, ve
FL. ad L B. Ouod vicimo erat,
_c.
1
1
M
H O B
aec aurem omnid, quantum spectat ad ea, quibus in praesenti Fractatu
sunertui, Cac erat octendisse circa unicam rectam diuilam in ratione
harinonica, & prout a nobis factum fuir in edita Divinat: de Max: _ Min: Sed
cum Sectionibus Conicis quibussibet ipla aptari posse animadueiterem, alii
que nostris opiculentur, eadem hoc locosic demonstrare opus fuit.
Ex hac vero constat, quod hintriangulo circum (CripTO A F C agatUENO
Basi A C parallela, quae alterum laterum tangentium, vel quancunque ducta
rum ex F vique ad AC, secet bitariam, ee bitariam quoque secahic omnes
inter AC, NO intercepEaS, ac rendentes ad F: cumque demonstratum sit
TrES MIE, ML, MB este in continua ratione geometrica, paret quod re.
Ctangulum lub seomentis cuiuscunque iplarum Coni- lectionem secantium
incer iplam NO ee Sectionem intercepris, hoc eA sub PM, M B aequale erie
quadrato segmenti ML inter iplas requidistantes A C, NO.
Ec quoniam paret ex Conicis Elementis punctum Bilecans diametrum Co-
ni-sectionis ex F ductam vsque ad tactus iunsentem AC, in Parabola,
cadere in iplum Sectionis verticem, in Fllipli vero, vel Circulo cadere extra,
in Eyperbola aurem intra, patet quoque rectam NO, qua
praedictorum exhibet spatiorum aequalicatem, contin.
sere Parabolam ad diametri verticem, in
Ellipsi vero, vel Circulo toram
extra cadere, in Hy.
Perbola
tocam intra. Ouod huc pro sequentibus haudinui
licer adnotasse constabit.