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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 180, page id 175905688X:0202
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180
FR A N CFSOF a SCHOOFEH
ad plenam loci compolicionem; quaelicum punctum praeter lineas
jam expressas etiam alia plana loca continsie, quae pari tacilicate
inrestisari d construi possune, prouc nimirum idem punctum ad
id in aliis tantum angulis suppolitum fuerie, quemadmodum e
ibidem Fuie indicatum.
Elis Similia nocare quoque licet circa Problemata omnino de-
cerminata, in quibus non nili certus est punctorum numerus. Cu-
julmodi est sequens
P R O B L F. MI A.
L LCcra Saa aeatis duobus punctis A, B,
L. in eadem aliud assignare punetum C, uc rectangulum
A C B, quod hc sub
rectis A C, CB, 2d
altionaca puncta A, B
ablcistis, daco spacio
d aequale C, quod Fa-
men inus SIC quaEEa
Parce quadrati Cx A B.
Qua (ICD a.
Ouoniam hic juxta mentem Problematis punctum C inde-
cerminatum est respectu puncti A, ut _ respectu puncti B, hoc
est, indeterminatum quo masis ad dextram quam ad sinistram
atriulque cadat, hinc si concipiatur determinatum inter A d B,
aequatio huc pertinens comprehendet plus quam oportet, neque
legicima erit, s ei Coli acquiescere relimus. Ouocirca _ illud
iplum extra A ec B ab utraque parte supponendum est, si velimus
ut (olutio Problematis omnibus numeris (IE ab (OluCa.
Unde supponendo C primum cadere extra AB ad Cnistram
iplius A, eric, assumpFa x PrO AC, ~ x -F a x ∞ d; ac dcinde suppo.
nendo C cadere inter A _ B, Crit a x =x x ∞ d; _ denique sup.
ponendoc cadere extra AB ad dexrram iplius B, Crit ~ X -- a X ∞d.
HIoc est innumeris, si a sIt ∞ 20, d ∞ 96, habebitur ~ ∞ 4,
X ∞ = 24; X ∞ T2, X ∞ 8; X ∞ 24, _C X ∞ - 4. Oux quidem
omnes lunt radices, quae ad propolitum Problema pertinent.
Duarum prima et ultima delignane lonsicudinem linexe AC ∞_
qualis
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DuI
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quadent
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aequatio
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blemat
Gulis 1
tionem
Fin
hosce ter