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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 368, page id 175906937X:0392
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3.68
DE CONCTNHA NDES
inrerrendo d per convertionem rationis, ut quadratum AB ad
per Cor. 19 Mdratum AB minus quadrato BF, ita G B ad BHI; de dupla-
tis antecedentibus conrertendoque, ut guadratum AB minus
quadrato B F ad duplum quadrati AB, ica B HI ad duplum iplius
CB Icu  BF ad BC. Ouod erac demonstrandum.
33
TTinc
Si. Fancens cujustibet arcus minoris quam 45 gr. ducatur
in duplum Duadratum Radii; a Quadrato Radii auferatur
Fancentis quadratum: illud productum dividatur per hoc re-
siduum: Duotus erit Tansens arcus dupli.
Theorema hoc a Clarissimo viro D. Joanne Pellio excogita-
tum atque ingeniose adhibitum pluribus modis demonstratum
reperitur in cractatu ejus de controrersiis, circa veram circusi
menturam, incer ipsum d Clar. virum D. Chrictianum Sererini
Longomontanum ortis, ac anno 2547 in lucem editis.
IHI F O R F M A.
Si fuerie criangulum ABC, cujus angulus ad B rC
cta BD bitariam sic dirisus, _ ex BC abscindatur BF
Xqualis A B, JunO2EUEquE AE, sccanSBD in F: dico,
EagatuF F. C+ parallela AC, OccurrenS ipSI BD in C,
essc uE B C+ ad BD, ita AD ad DC, _ ABad BC;
nec non DC bis esse ad excessum, quo DC supetaL
AD, Sicut BD adDF.
Scries Analyseos.
FAO BD ∞ b
AD ∞ O
DC ∞ y
_D F ∞
uoniam itaque trian-
ILOTUI A BF, F B F 21 -
ruli ad B ex hypothesi sune
balIs-
5 per Coro
 ouinti, e
Dide Cla
quinti.
Dium 4 22
Quintt.
e per 13
G1ob1106.
a per 4 pri-
aequales, nec non latera AB, B F X F B, BF, quae iplos compre
1td.
hendume, aequalia: crune deAns et Laequales, id est recti,