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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 71, page id 898203430:0263
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=263
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# Lines: 35 recognised, mean confidence 0.92
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NARIAR: DISPOSITIONVM LIMIT. LIBER III.
est vertex crianguli aequicruris ADC; lemecatn vero latus i A BIa
uiS dati crianguli rectanguli ABC.
Aructione, ergo de quadratum quadrato aequale clt: quare a c
quadrata AT, TFT, sive duo rectangula lB A cum tribus quadratis LB,
BA, TFI aequalia fumul sunt duobus simul quadratis C B, BI: ex his er
30 dempro communi quadrato BI, remanent duo rectangula ub IB, B A
cum quadrato AB, _ quadeato FTI aequalia simul vnico quadrato C B,
sed quadracum perpendicularis C B, in triangulo requieruri acutansulo
Temma3.
ADC ex termino C balIS AC ductae super latuS AD, sequatu a duobus nuius.
rectangulis D BA, ergo duo paricer rectangula sub IB, B A cum qua
E F ordinatim ductas ex terminis subrensarum, ita ve sinoulxe singulis
aequales line, nempe A H aequalis CL, AO ips CB, AN ip(I CM.
AG ipSi C A _ AF ipSi C F ac. Dico in veraque fgura puncta HI, O,
N, G, F, esse ad concauum Parabole, cuiuS aXIS VENLEX CE D, qui
TAIM, In Prima ASUTd, LaMCCaS LEL auatu Subtena CL, Cx COn
drato AB, e guadrato FII aequantur duobus rectangulis sub D B, BA
cum eodem quadrato AB, Sed duo sub DB, BA aqualia fuNE duobus sUB
DI, BA una cum duobus sub FB, BA, ergo icerum duo rectangula sub
TB, BA, quadratum AB, _ quadratum FIL aequantur duobus (UB DI,
BA, vira cum duobus sub IB, B A, _ cum quadrato A B, ex quibus
composieis A demantur communia sparia, nempe duo rectanoula sub
IB, BA, ec quadratum AB, remanet quadratum HI aequale duobus re-
Etangulis sub DT, BA, vel rnico tub DT in duplam BA.
Ampliis, transuersalis O A aequatur perpendiculari C B, ex constru-
ctione, ergo e quadratum O A aequale est quadrato C B, id coqué de duo
quadrata OB, BA aequalia quadrato perpendicularis C B, in criatigulo
requicruri acutangulo ADC, vel b duobus rectangulis DB A cum qua- b ibidem.
drato BA, _ dempro communi guadraro AB, Superest quadratum AO
equale duobus rectangulis sub. D B, BA, vel prico sub DB in duptam
BA.
Insuper transuertatis AN aequatis eR subrentae CM, ex constructione.
erso ee quadrarum AN, vel duuo N M. M A aequalia lune quidero C M.
vel