Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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Notæ in Propoſit. XXXXIII.
33f
R Emanet A C in Q R minus quàm I L in N O, & pariter I L in N
44f O minus quàm S T in V X, &
c. Quia ſi ex quadrato ſummæ A C,
414[Figure 414]&
Q R quferantur duo quadrata ex
C
A, &
ex Q R ſimul ſumpta, re-
manent
duo rectangula ſub C A, &

Q
R contenta:
pariterque duplum re-
ctanguli
ex I L in N O eſt rcſiduum
quadrati
ex ſumma ipſarum I L, &

N
O deſcripti, poſtquàm ablata ſunt
quadratum
ex I L, &
quadratum ex
55Prop. 22.
huius
.
N O ſimul;
ſed bina quadrata vtrinq;
ablata ſunt æqualia inter ſe in ellipſi;
&
ſumma A C, Q R minor eſt quàm
66Prop 42.
huius
.
ſumma I L, N O;
Ergo duplum re-
ctanguli
ſub C A &
ſub Q R mi-
nus
eſt duplo rectanguli I L in N O,
&
rectangulum ſub A C, & Q R minus eſt rectangulo ſub I L, & N O.

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