Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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[Figure 161]
Page: 256
[Figure 162]
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[Figure 163]
Page: 262
[Figure 164]
Page: 270
[Figure 165]
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[Figure 166]
Page: 278
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161
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<
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id
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s.002749
">Si quis ſagittam per aerem latam à ſuo motu vellet deflectere, eam faci
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lius in poſteriore parte à ſuo curſu deuiaret, quàm in anteriore. </
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<
s
id
="
s.002750
">hunc con
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cinui corporis motum continuo proiectorum motui aſſimilat: quemadmo
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dum enim motus proiectorum in fine debilior lenteſcit: ſic totum conti
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nuum in poſtrema parte ſegnius impellitur. </
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<
s
id
="
s.002751
">Quia igitur nauis eſt
<
expan
abbr
="
cõtinuum
">continuum</
expan
>
,
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lb
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quod vi remorum recta antrorſum fertur, & propterea maiore vi prora,
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quàm puppis, facilius eſt à ſuo directo curſu nauem deflectere, eam in pup
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pi, quàm in prora commouendo. </
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>
<
s
id
="
s.002752
">hac igitur de cauſa, gubernaculum puppi
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affigitur. </
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<
s
id
="
s.002753
">quæ quidem ratio, & quantum valeat, & an naui quadret, & num
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benè ſit explicata, phyſicorum eſt iudicare.</
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<
s
id
="
s.002754
">Ego tamen aliam huius rationem video, quia nimirum ſi temo in priori
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parte eſſet, quando à rectitudine ipſius nauis ad dextram, aut ad ſiniſtram
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eſſet inclinandus, tunc quia aqua in vnam tantum ipſius partem, ſeu faciem
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tota impingeret, in eam ſcilicet, quæ antrorſum reſpiceret, eam aqua re
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trorſum ſimul cum tota naui auerteret,
<
expan
abbr
="
ſicq́
">ſicque</
expan
>
; totam nauim inuerteret, ita
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vt prora, cui adhæreret temo extrema fieret. </
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>
<
s
id
="
s.002755
">impetus igitur aquæ, & naui
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gij temonati, cogit temonem eſſe poſtremum non primum, nec medium.
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/>
</
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>
<
s
id
="
s.002756
">
<
expan
abbr
="
atq;
">atque</
expan
>
hinc oritur neceſſitas
<
expan
abbr
="
eũ
">eum</
expan
>
poſteriori parti affigendi. </
s
>
<
s
id
="
s.002757
">ſubdit poſtea aliam
<
lb
/>
eiuſdem rationem, quia nimirum parua motione facta in puppi multo ma
<
lb
/>
ius interuallum cogitur mutare prora; nam idem angulus, quo eius lineæ
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ſunt longiores, eò maiorem ſubtenſam ſibi lineam reſpicit, quod facilè in
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89
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adſcripta figura intueri licet; in qua duæ
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lineæ A B, A C, continent angulum A, cui
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angulo ſubtenduntur tres lineæ parallelæ
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F G, D E, B C, quarum B C, maxima eſt,
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/>
quia ibi maiores, ſiue remotiores ſunt ab
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angulo A, duæ rectæ A B, A C, ipſum con
<
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tinentes, quod Geometricè per 4. 6. pro
<
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bari poteſt. </
s
>
<
s
id
="
s.002758
">ſic etiam facta motione, vel
<
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parua in puppi, tota nauis transfertur ad
<
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alium ſitum, ita vt prora multum aliò transferatur, quod non accideret, ſi
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eadem motio fieret ad medium nauigij. </
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>
<
s
id
="
s.002759
">propterea igitur aptiſſimè puppi
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gubernaculum connectitur.</
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>
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247</
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<
s
id
="
s.002762
">Ex ijſdem etiam rationibus mathematicis patet, cur magis antrorſum
<
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procedit nauigium, quàm remi ipſius palmula retrorſum: eadem enim ma
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gnitudo, ijſdem mota viribus in aere plus, quàm in aqua progreditur.
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</
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>
<
s
id
="
s.002763
">Sit igitur A B, remus, G, verò ſcalmus. </
s
>
<
s
id
="
s.002764
">A, autem in nauigio ſit remi initium.
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</
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>
<
s
id
="
s.002765
">B, verò in mari palmula. </
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>
<
s
id
="
s.002766
">ſi igitur A, vbi D, transferatur, per totum ſpa
<
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tium A D, non permeabit tantumdem ſpatij B,
<
expan
abbr
="
vſq;
">vſque</
expan
>
ad E. </
s
>
<
s
id
="
s.002767
">B E, enim ponitur
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æqualis ipſi A D, ſed minus interuallum propter reſiſtentiam aquæ ex ſup
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poſitione percurret, quale eſt B F, quod minus eſt quàm A D, quare etiam li
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nea B G, abbreuiabitur,
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expan
abbr
="
eritq́
">eritque</
expan
>
; veluti F Y, quæ etiam erit minor ipſa D G,
<
lb
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quæ facta eſt D Y, propter duo ſimilia triangula D Y A, B Y F, ſimilia au
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tem triangula ſunt ea, quorum anguli vnius ſunt æquales angulis alterius,
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quo poſito ſunt etiam latera vnius proportionalia lateribus alterius, vt pa
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tet ex prima definitione 6. necnon ex quarta eiuſdem demonſtratione. </
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<
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id
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">hæc </
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