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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 111, page id 898203430:0139
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=139
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ai Lo taito
Ve quoque animaduerrenc CM C. L L.em; AUE. ObIOH
Sa, aul procula Lapio seclrten, alt Ccu Pelspieta des-
ate vel il palto cltro praccutdud Liobio retestea
Lalis oc ul.
1
c.
P, X demonstratis in hac icidem appAreL, quod quII SIE O P ad
 PE, ve cransuerlum datxe FIIpsis ad rectum, disterentia FO ad
E P erit ve difterentia laterum ad rectum: adeoque P centrum Limitis
C L F distat ab origine FamOrUM F. per F P quaream provortionalium
Polt tres nocas magnicudines, videlicet post laterum daex FMliplis ditte-
renriam, lacus rectum ejuldem, et distaticiam O F, inter cencruti iptius
Fllipsis, de originem.
ii
2. Trem, quod idem punctum P centrum Fimitis distat a verrice B
datae Flliplis per inceruallum PB, quod es disterentia inteF P F quarEaM
proportionalium nuper inventam, de P. B FamOruM MiNiMU.
3. Postremo, quum quacratum P L. Xequale sic 2 rectanGUIO D PF, C olH.
iple PP Lemiaxis Limiris poceric rectangulum lub axis segmentis a Cen
ero Moduli, vel Limitis vque 2d balim crianguli circumscripei, de ab eodem
cenero vique ad vercicem eiuldem criansuli, vel usque ad originem di
cam. Ouod erat demonstrandum,
PROPOSITIO LXIII
N Fllipsi oblonca. Limes Ordinationis ramorum ab
orixine in vertice, est ad Locum concauum yper-
bolae per eundem verticem sibi circumsoripta, cuius axis ci e
transuersus, (5 centrum cum Mlodulo ex angulo se-
mirecto, cumque ejus centro concruit, rectum verd la
tus idem est ac rectum Fllipsis, ad quod habet trans-
versum Eyperbola rationem eam, quam transuersum
Ellipsis ad differentiam suorum laterum.