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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 144, page id 1815201908:0201
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B2. (au1 b.
PROGR ESSIONFS
Demonstratio.
gulo. d AB, Nem leriesL.
aequacurrectagulo FDF, hoC
eAt, (guoniam quadraca AH
DE idcoque e linex AB.
DP. exhypochel aequaneur)
rectangulo Y AB. cadem
isicur est scrierum, _ S AB,
I AB rectangulorum rario
Acqui rectanoulorum S AB.
T A B, eadem est ratio b qua
rectarum S, T, ergo de serie.
rum eadem quxe S, T, linca.
rum est proporcio. Ouod erac
demonstrandum. Iloc quoque
Theorema Faciamus rniuer-
Calc.
PROPOSTTIO CXLVI
Adem manence sgu.
ora; denrurplanorum
libus incipran planis, sincque aates seriebus AB, C. G, NC.
AB, F1C8C.
Demonstratio.
Lriocinationem l adhibcat; qua propoutione precedenti Fuimus rui, non alicer
propolicionis praelentis vericarem ex praecedenri deducet, quam propolicionis 144.
Ex 143. huius deduximus.
PROPOSIITTO CZENTI
Sablacum hc. Poriur exhiberi series quadracorum, que xqualis lICre.
ctansulo AC, et incipiar a quadcaro AM.
Constructio es demonstratio.
Eries LLRa Rquatur rectan.
Similium binx terres gularumais proDOrtionUM NK, PC, quae ab aqua-
Dico eandem esse Perierum ec rectarum S, P, proporrionem.
Dhuius Theoremaris demonstrationem, candem lector constructionem aC ra-
Scorectangulum altera parre lonxius AC, a quo A MI quadratum
I AF ad BF, SC
ABAaC ad BL: _C CX
Laucta TFI, Parallela ad
BM rectansulo IBMH
aequale tac quadrarum
BH, basi BC Mencum
el
Polica cum AB. Cum po-
Eeto quadratorum
AM, BN, cconcinuaTE
longicudinis. Dico leriem
QuadtatoruM MR, Pro.
lemari
inveniaeuE R Terminus
o  e ussus  pi  su u     ut p            5u     e   e    e    u uu  s   te e e 1 1 l  t   . 1 u 1. 11 1 i1