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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 344, page id 175905688X:0366
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=366
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344 FR, aSCHOOFEN COMM. TNLEB. IIY
diameter IL. inscribere L. P ∞ V F F PV~
mm
nn ∞.
7672
479: eriique ID
PVD
radiusquaeturi circuli ∞V n+  anno un un D VS5A
229441
Jam uc constet, circulum hunc ex Pincerrallo invento IP de
Ccripeum secare veltangere curraim AC N in toc diverlis pun-
ctis, quotxquatio inaequales habet radices, hoc est, huc in 5 di-
vertis punctis, cum proprer duas a quales 3 e 3 circulus hane cur-
ram ibidem non secet led tangac: considerandum. est, lineam IM
m
y- yvely-
csC ∞
mm 2My
n
nn adeoque quadratum ex IM semper esse
n ni Lyy, ee lineam C FI vel C M semper
C
)
y
=V v
+ 2Pyy + 2V0
Acproinde, si, cribuendoradiciu
unumquem que ex supra dictis raloribus, ex lineis hilce, per 17
primi Elem. Fucl. guaeramus lineam LC, cam que singulis vicibus
aequalem reperiamus radio ante invento L P ∞ 1 5544000
22944 7 : CCxFUI
est, quod circulus P C Neandem curram A C N, quemadmo-
dum indiCaEUM FUIE, SIE SeCEUTUS Vel EaCFUEUS.
Hlinc,
GITNT 505350+
Si ponatur y ∞ 1, exit S
GLNI. 1664200
2294+7
aD que (IC. 5544000
229447
22944 Y
FGLN. 3129161
EDCNI. 190496 Y ∞2, erit B
adeoqueHTC
LCM. 3879900V ∞ 4. etit
22944+
AIN
22944 2
544000
229442
157722
22944 1
CDC M. 2+2463
adc0el2
LGCN. +886279 Y ∞8, et it
22944. 1
adeoque F F C,. 5544060
22944F
229441
GTM
DCN
229441
34f
229445
1221025
229441
4322975
229441
adCoceLLC 400
229441
Exquibus isitur apparet, quod, atumpea qualibet ex radici
bus; linea TC semper ip(i LP inveniatur aequalis; hoc est, quod
circulus, qui ex linterrallo IP describitur, CurraM A C NF in Cdi-
verlis punctis lecet reltangat, in tot ridelicet, quot aequatio pro-
volica direrlos adinictit radicis ralores. Ouod erat octendendum.
Fodem modo liquet, sixquatio propolita 6 radices inequales
hrabuerie, quod tunc quoque circulus P C. N curram AC Nin6
diverlis punctis secet.
∞3, exitZ