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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 380, page id 175906937X:0404
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380
DE CON CTNH ANDES
bus rectangulis (UB A F, C E _ sUB C G, A B. Aqualiaisitur
crunc bina rectangula ub A F, C F _ sub AF, F. D binis rectan-
oulis (ub AF, C F _ sub CG, AB. A gnibus Si commune au-
teratur rectangulum sub AF, C F, erit etiam reliquum rectan-
oulum Tub AF, F. D aequale reliquo rectangulo lub CO, AB.
UInde uc AFad CG, ic2 A B ad P. D. Ouod erat Faciendum.
Tlactenus quae praecesserunt Problemataes Theoremata istius
naturae censeri possunt, quorum difficultas in demonstrationi-
bus ex calculi vestieiis eliciendis porius quam in iisdem per Al-
rebram solvendis es ostendendis consistere judicari debet. F.t-
enim cum in Alcebra Problemate aut Theoremate ad A qua-
tionem perducto haec secundum certas reculas reducatur resol-
vaturque, at vero demonstratio Ceometrica, quae ex eorum sal-
culo depromenda est, non semper eisdem lesibus sit obnoxia,
(ed diversimode pront requiritur, immutanda veniat, ut ipsa
commode feliciterque per Ceometriae Flementa explicetur: visum
nobis fuit hic consequenter illius contrarium in adductis aliquot
exemplis patefacere, utpote in quibus praecipua difficultas in
ipsorum per alsebram enodatione sita esse appareat. In quem
finem duas primum Duastiones Arithmeticas in medium af-
feram, ut, ipsis beneficio calculi hujus Ceometriae soluris, cuique
fiat manifestum, quo pacto illius ignari deinde ad easdem sob-
vendas ratiocinari possint. vulcaribus tantum Prichmetices
reculis instructi. Duibus aliquot Quastiones Ceometricas eju(-
dem generis subjuncturus sum, quo simul constet plurimas etiam
tales reperiri, post quarum solurionem Alcebraicam ultro velut
sese offert solurio ipsarum Ceometrica, it a ut quod illius demon-
strationem insuper concernit Geometria Flementa jam edoctos
non effuciat.
U  S LL
e per 1C
sed
duaestio 44
primae par-
tis libri pri-
mi KNerCI-
rationum
nostrarum
Mathema-
ZICAPUM.
OEnopola duplex habet vinum, unius 8 stufris, alterius 14
Tusris consta. ult autem mixtionem facere, it a ut
dolium