Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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[4.37.] Anrectè loquutus ſit Phyloſopbus de extenſione luminis per uacuum. CAP. XXXVII.
Page: 208 (196)
[4.38.] An rectè phyloſophiœ penus Ariſtoteles ſenſerit de loco im-pellendo à pyramide. CAP. XXXVIII.
Page: 208 (196)
[4.39.] Examinatur quam ualida ſit ratio Aristotelis de inalterabilitate Cœli. CAP. XXXIX.
Page: 209 (197)
[5.] IN QVINTVM EVCLIDIS LIBRVM
Page: 210 (198)
[Item 5.1.]
Page: 210 (198)
[5.1.1.] Horum autem primum est.
Page: 210 (198)
[5.1.2.] SECVNDVM.
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[5.1.3.] TERTIVM. Quę est εuclidis ſeptima propoſitio.
Page: 210 (198)
[5.1.4.] QVARTVM. εuclidis uerò nona propoſitio.
Page: 211 (199)
[5.1.5.] QVINTVM. Euclidis uerò octaua propoſitio.
Page: 211 (199)
[5.1.6.] SEXTVM. εuclidis uerò decima propoſitio.
Page: 211 (199)
[5.1.7.] SEPTIMVM. Euclidis uerò undecima propoſitio.
Page: 211 (199)
[5.1.8.] OCTAVVM. εuclidis uerò duodecima propoſitio.
Page: 211 (199)
[5.1.9.] NONVM. Euclidis uero tertiadecima propoſitio.
Page: 212 (200)
[5.1.10.] DECIMVM.
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[5.1.11.] VNDECIMVM.
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[5.1.12.] DVODECIMVM.
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[Item 5.2.]
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[5.2.1.] THEOR.I. II. ET III.
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[5.2.2.] THEOREM. IIII.
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[5.2.3.] THEOR.V. ET VI.
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[5.2.4.] THEOR. VII. VIII. IX.X. XI. XII. XIII.
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[5.2.5.] THEOREM. XIIII.
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[5.2.6.] THEOR. XV.
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[5.2.7.] THEOREM. XVI.
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[5.2.8.] THEOR. XVII.
Page: 214 (202)
[5.2.9.] THEOREM. XVIII.
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[5.2.10.] THEOREM. XIX.
Page: 214 (202)
[5.2.11.] THEOREM. XX.
Page: 215 (203)
[5.2.12.] THEOREM. XXI.
Page: 215 (203)
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161149DE MECHAN. proportio ponderis .a. ad pon
dusipſius .b. eadem ſit cum
ea quę eſt .o.t. ad .o.e. ſub co
gnitionem noſtram cadere po
teſt, primum cognoſcendo
angulos obliquitatis librę,
ideſt angulos .b.o.u. et .a.o.
u. quia oportet ſemper ſup-
218[Figure 218] ponere ſitum aliquem no-
tum. Si nobis deinde co-
gnita erit proportio ipſius .
o.u. ad .o.b. et. ad .o.a. aſſe-
quemur cognitionem angu
li .b. et .o.a.u. & per conſe-
quens ipſius .o.a.t. eius reſi-
dui, vnde poſtea beneficio
angulorum .e. et .t. rectorum
& laterum .o.b. et .o.a. cogni
torum in cognitionem .o.t.
et .o.e. facile deueniemus.
CAP. VIII.
QVod autem idem Tartalea in .6. propoſitione, & Iordanus in ſecunda parte.
ſecundæ propoſitionis ſcribunt, maximum quoque errorem inſe continet.
Dicunt enim angulum
h.a.f. differentem ab
angulo .d.b.f. alia ra-
tione non eſſe quàm
per angulum conta-
ctus duorum circulorum,
vt in ſua figura ſcribit
Tartalea; id quod fal-
ſiſſimum eſt. Quam ob
cauſam in ſubſcripta
figura ſit libra .B.A.
219[Figure 219] & eius centrum. C et .
u. centrum regionis ele
mentaris, et .A.u. et .B.
u. lineæ inclinationum.
Imaginemur deinde
lineam .B.K. parallelam
ipſi .A.u. quæ gyrum .
B.F.A. in puncto .K.
communi ſcientiæ prae­
cepto ſcindet, & habe
bimus angulum .K.B.
Z. æqualem angulo .
H.A.F. ideſt .u.A.F.
(quia .H.u. et .D. unum
ſunt) cum ex .29. libr.
primi Euclidis angu-

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