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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1111, page id 1815201908:1168
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1d
6.
IB
EN ADRATYRA CTROVLI
instructio es demonstratio.
DOnaturR F C commenturabilis aliquis arcus arcui ADB, CuiuS LuBEENLA GIE F. C
maior AB, subTenSa areus AD B. descripto deinde circulo F. FT C Iaper diame-
ErO E C, Ponatur CFI aequalis AB; quod heri pocerie, cum A C+ AlaMcter maior po.
natur recta AB, per centrum denique circuli A B C. POtAC ALC AIZMCTEF, quae X
quiritur. angulus enim F FY C rectus cum SiC, eciam F IK rectus cric, vei ec angulus
CRI. inde rectangulum est TTK: _ FTC aequalis TK, HOCCH AB, el= quC arcuS
quidister GFI; _ demirratur F FTI, e huic aequidiltet CR. Dieofactum quodre.
ca ElIC.
FF C commensurabilis ADB Cx Conctione. Quare pertectum elt quod requi-
eROPOSTTIO XXII
VINE AB, CD normalicer posicx ad diamerrum L. F.
Oporceat aliquem arcum PR consticuere in eodem circulo com-
menlurabilem arcui AC, ex cuius extremis linex K HI e 1O, perpendi-
cularicet demmta ad alalaccum ietcplale bet seclam a gualem BL.
Construtioes demonscralto.
Elcribatur cenero R circulus M L. N xequalis P A F, in quo assumacur aliquis ar-
cus OE commenturabilis arcui A C, cuius subren Ca 9 L, maior sic quam BD,
aciamecto Ladca enemus L.LO. ae ponatur OP aequalis BD. ducngue
L0.Pacallelisinter le pet punclum l aucdeui al patallela De. dec
BBB 2
CCNETO
     1  ..   1 . t ut 1. ( . 1 .  1 1. 1   1 1       B   p  1  u t 1    p    n u  u    n