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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 415, page id 1815201908:0472
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d A R ABC
A.
in illo cdeunres, intensisimum produeant calorem. quia vero punctum D (quod quaream I
teris recti parremt determinat a verrice initio sitpio) calhanem nuuam aamuiit: sit ve
formaparabollea, omnium sit apti sima radis solis recipiendis es refectenta; Mq. Dehe-
memiores, quam reliquae fieurae; causet effectus.
Quod autem in propositioneradios C L. RF. omnes parallelos axi assumamus; id eadem de
causa fecimus quaidem Opiici, Onomonici; es Scatici in poderibus deorsum tendencibus; assu
mere coguntur, ex hactenus or fundamentum ac principium ab omnibus (si Neothericos pau-
eos excirias) habitum est, non quod a parte rei solares radii paralleli sont. sed quod do immen-
sum nosincer e solem sparium radii in speculum incidant ac si vere paralleli essent, sic vt nul-
la ad inuicem inflexio perceperbilis sit: es si e plano speculi duas lineas versus solem cuntas
quantumuis minimo anculo adinvicem inclines, conveniene illa multaante, quam ad solarent
discum peruenire possint: ex si vicissim ex solis centro anculo physico, quancumuis minimo,
duos educas radios, non cadent illi in (uperficiem speculi, sed immen(o verimque incervallo a
Reculo decident. ratio verius que est, immensa solis à terra distantia: radii isitur solares pe-
culum incidentes ut vere paralleli assumuntur. quo posito demonstrari facile posset, focum in
circuloes omni sectione coni (praeterquam in parabola) latitudinem admictere, adeoqe peura
parabolicam ad comburendum omnium esse prastansissimam: sed de his aliorempore es loco, si
Deus visam dederit.
R O. P OS ITIO, CXXV.
D Arabolam A B C cuiuearis A D concineaE in
LB recta quaenis B E. conueniens cum axcIn F:
ductaque ex B linca B D normali ad concingen
cem, que axi occurrat in D. si AD linea Fueriema-
ior dimidio lateris recti.
Dicorectam BD minorem esse AD.
Demonstratio.
VCAEUF ex A per B, linca A B B: ec ex, D recta DC
nicur, angulus ABD rectominot cA, adeoque F BL
argulus obculus; quate D C Cadet InTeF A d B. AAE CF LI FC
BOBC aqualis S F, iunsancurquo HD: cum: A FI linca
divisa bitariam in Y; ponatur DI. cum ibicur HIC, 3111. 1
CD lincae aequales sinc rectis BC; GD, e grouli illis.
concenci recti; linea D H aqualis et BF. Sc angulis  t 3 culvE
EADrecto minor. Rurlum cum AP, ID lineX xquen
normalis ad AF. quentra als s F B D rectus po-
EuI
  at i  t t o  e  te tu te tte te t  e e ti  t at  e      i 
  e ete ue v et