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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IO. BAPT BENED.
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tur continetur calor, & non in motu ipſius ſolis, & ita in lumine ſedem habet, ut fi ſol
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quieſceret, neque in orbe ſuo circumager etur, infęliciſſima eſſet ea regio, in cuiu;
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<
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xml:space
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">Zenith ipſe reperiretur.</
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<
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xml:space
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">Vnde caloris ſolis prode at incrementum & state, et byeme
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decrementum.</
head
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<
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">CAP. XXXI.</
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<
s
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prouenire, oſtendam nunc ex ordine, ex quot,
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type
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cauſis oriatur magna
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differentia eius caloris æſtatis ad hyemem, quarum nonnullæ ab antiquis obſerua-
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tæ fuerunt, aliæ autem à nemine, quod ſciam. </
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>
<
s
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xml:space
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">Sunt autem quinque ad minus eæ cau
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ſæ, quarum vna eft diuturna folis mora, tempore æſtatis ſupra orizontem, quæ cau-
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ſa ab antiquis pofita, & citata fuit. </
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<
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xml:space
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">Aliam quoque huius rei cauſam iidem antiqui
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dicebant eſſe propinquitatem ſolis noftro Zenith, ſed hæc cauſa immediata non
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eſt, quia ab ea tres caufæ immediatæ naſcuntur; </
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<
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xml:space
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">quarum vna eft maior unio radij re
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flexi cum radio incidenti; </
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<
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">ſecunda maior quantitas luminis in ſuperficie terrę;
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</
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<
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xml:space
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">tertia, minor
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norm
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reſiſtentia
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type
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reg
>
vaporum ipſi radio luminoſo facta; </
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>
<
s
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xml:space
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">quarta verò eft impresfio
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caloris facta in terra, quæ cum aliis caufis coniuncta calorem adauget. quæ quidem
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caufæ nemini adhuc, quod fciam, in
<
reg
norm
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mentem
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type
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venerunt. </
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<
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xml:space
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">Quòd autem attinet ad ma-
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iorem coniunctionem radii reſlexi cum incidente, quiſque, uel ſaltem mediocriter
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in cathoptricę cognitione verſatus hoc verum eſſe cognoſcet. </
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<
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xml:space
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">Vt hoc tamen in-
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noteſcat facilius. </
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<
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">Imaginemur
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>.q.p.</
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et
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var
>
eſſe duas particulas ęquales ſuperficiei
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ipfius terræ, ſuper quas cadant duo radii luminofi ſolis
<
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>.e.q.</
var
>
et
<
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>.n.d.</
var
>
quorum
<
var
>.e.q.</
var
>
fit ad
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/>
modum obliquus, et
<
var
>.n.d.</
var
>
quaſi perpendicularis, vnde radii reſlexi
<
var
>.p.a.</
var
>
et
<
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>.b.u.</
var
>
aſcen
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/>
dent cum angulis æqualibus eis, qui funt ſuorum cadentium, cum omnis angulus re-
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flexionis femper æqualis ſit angulo ſuæ incidentię, vt cuilibet in cathoptrica, vel me
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diocriter verfato pater. </
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>
<
s
xml:id
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xml:space
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">Mixtio autem primorum obliquorum erit
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var
>
& ea, quæ
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eft minus obliquorum
<
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>.b.i.d.</
var
>
quorum duorum triangulorum nullus unquam erit, qui
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dubitare posfit
<
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var
>
non eſſe minorem
<
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>.b.i.d.</
var
>
cum anguli
<
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>.q.</
var
>
et
<
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>.p.</
var
>
trianguli
<
var
>.q.o.p.</
var
>
a-
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/>
cutiores ſint angulis
<
var
>.b.</
var
>
et
<
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>.d.</
var
>
trianguli
<
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>.b.i.d.</
var
>
ex ſuppoſito. </
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>
<
s
xml:id
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echoid-s2273
"
xml:space
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">Quòd uero attinet ad ma
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iorem quantitatem luminis ſuper terræ ſuperſiciem; </
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>
<
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xml:space
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">Imaginemur radium
<
var
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var
>
cuius
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reſpectu etiam imagine mur duos ſuperficiei terræ ſitus, quorum vnus fit
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>.q.o</
var
>
: cui di-
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ctus radius fit perpendicularis, & alter
<
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var
>
cui radius
<
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var
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ex obliquo incidat. </
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<
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xml:space
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">Ima-
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ginemur ergo triangulum
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cuius angulus
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var
>
rectus eſt ex ſuppoſito, unde
<
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>.q.o.</
var
>
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minor erit
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var
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ex .18. primi Euclidis. </
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<
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xml:space
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">hinc fit, vt ſuper
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cadat vniuerſum lumen,
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quod ſuper
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>
diffunditur. </
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<
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xml:space
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">Sit
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æqualis
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& fit imaginatione protracta
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>.u.n.</
var
>
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æquidiftans
<
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>.p.o.a.</
var
>
vnde
<
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>.q.u.</
var
>
illuminata erit à radio
<
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>.n.q.</
var
>
minore radio
<
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>.a.q.</
var
>
ergo mi-
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nus calida erit ſuperficies
<
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>.q.u.</
var
>
ipſius terræ, quàm.q.o. quia maius lumen in ſe maio-
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rem calorem includit: </
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>
<
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xml:space
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">quod manifeſtè apparet in radiorum vnione mediante refle-
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xione, aut refractione. </
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<
s
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xml:space
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">Sed quod attinet ad minorem refiſtentiam vaporum ad ip-
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ſum radium luminoſum, etfi primo capite meæ Gnomonicæ leuiter id attigerim, ni
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hilominus tamen, & idem ipſum hoc loco proponam. </
s
>
<
s
xml:id
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xml:space
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">Denotetur, exempli gratia,
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ſuperficies terræ ab
<
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>
et ea, quæ eft vaporum ab
<
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>.n.a.</
var
>
ſupponatur etiam ſol in fitu.</
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