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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137
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DE PERSPECT.
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149
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0149
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0149
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<
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xml:space
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">1. 2. </
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<
s
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xml:space
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">Vnde huiuſmodi regula tunc bona redditur, quando
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>T.Q.</
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æqualis eſt ipſi .œ.
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Q. ideſt medietati ipſius
<
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>.D.B.</
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at verò ſi æqualis non eſſet hoc minime ſequeretur,
<
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vt facilè patet. </
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>
<
s
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echoid-s1654
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xml:space
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">Quòd verò .2.
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>R.Z.</
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&. ſint benè diſpoſita, dubitandum non eſt, quia
<
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punctum
<
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>.i.</
var
>
meæ hic ſubſcriptæ figuræ, quod coreſpondet K. eius ſiguræ adeò diſtat
<
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a medio
<
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>.R.X.</
var
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trianguli
<
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>.R.B.D.</
var
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vt .2. cum .1. 2. dicto medio
<
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>.R.X.</
var
>
ex .6. </
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<
s
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xml:space
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">Vndecimi fit
<
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parallela. </
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>
<
s
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xml:space
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preserve
">Idem de reliquis dico. quod manifeſtè cognoſci poteſt, ab eo, quod in
<
lb
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ſuperius poſitis figuris corporeis dixi. </
s
>
<
s
xml:id
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xml:space
="
preserve
">Huiuſmodi modus ducendi res in perſpectiua,
<
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non ſolum à Gallis, ſed à Germanis etiam in vſum reducitur. </
s
>
<
s
xml:id
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xml:space
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preserve
">Sed quia ad hæc
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norm
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vſque
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type
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simple
">vſq;</
reg
>
<
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tempora eiuſdem perfectionis ratio, quam ego ſuperius propoſui,
<
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norm
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nondum
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type
="
context
">nõdum</
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in lucem
<
lb
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emerſit, factum fuit, vt
<
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norm
="
errorum
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type
="
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">errorũ</
reg
>
laqueis irretirentur, ſumentes
<
var
>.T.Q.</
var
>
modo maiorem,
<
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/>
modo minorem medietate lateris
<
var
>.D.B</
var
>
. </
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>
<
s
xml:id
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xml:space
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preserve
">Cum hunc igitur modum hic Autor
<
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vniuerſalem eſſe putet, labitur in errorem, cum debuiſſet longitudinem ipſius
<
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>.T.Q.</
var
>
<
lb
/>
debere eſſe æqualem medietati ipſius
<
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>.D.B.</
var
>
proferre. </
s
>
<
s
xml:id
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xml:space
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preserve
">Aſſerit deinde diſtantiam ip-
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ſius
<
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>.T.Q.</
var
>
à latere
<
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>.B.D.</
var
>
æ qualem eſſe debere lateri
<
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>.C.D.</
var
>
quod neceſſarium non eſt,
<
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/>
quia in quibuslibet diſtantijs, iuſta operatio fieri poteſt, quemadmodum in ſubſcri-
<
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/>
pta hîc figura facile patet, ideſt, quòd quibuſcunque modis
<
var
>.c.D.</
var
>
æqualis remaneat
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/>
ipſi .1. 2. & ſic interualla, quæ
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tranſuerſum aguntur
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type
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ad
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medium
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type
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">mediũ</
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>
trianguli
<
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>.D.R.B.</
var
>
<
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/>
Neque etiam probandus eſt auctor ille, cum pro oculo, ſuum
<
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>.T.</
var
>
loco
<
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>.Q.</
var
>
à me poſi-
<
unsure
/>
<
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ti, ponit, cum is locus ſit verus ſitus pedis eius quireſpicit, & non oculi. </
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<
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Auctor iſte, modo vniuerſali intelligat, vt iam diximus,
<
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conſideretur
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type
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">cõſideretur</
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figura tertij mo
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di primi cap. tertiæ partis, in qua ſuum oculum (vt ita dicam) ponit in
<
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>.o.</
var
>
altius ſeu
<
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/>
diſtans à rectitudine lateris
<
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>.c.d.</
var
>
plus quam ſit totum latus
<
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>.d.b</
var
>
.</
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>
</
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</
div
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<
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xml:space
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">AD EVNDEM IACOBVM.
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CAP. XIII.</
head
>
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<
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style
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emph
>
accepiliteras omnis humanitatis & officij plenas, in quibus requiris cau-
<
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ſam, quæ me in alijs meis literis impulit ad
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,
<
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angulum
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type
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<
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>.q.o.u.</
var
>
modo ma-
<
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iorem, modo verò minorem futurum angulo
<
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>.q.p.u.</
var
>
meæ figuræ corporeæ
<
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>.A.</
var
>
hanc
<
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/>
igitur ob cauſam imagineris in ſubſcripta hîc figura duo triangula
<
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>.q.o.u.</
var
>
et
<
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>.q.p.u.</
var
>
<
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quorum
<
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>.q.p.u.</
var
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perpendiculariter ſit ſuper ſuperficie trianguli
<
var
>.q.o.p.</
var
>
collocatum,
<
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præcisè vt in mea figura corporea
<
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>.A.</
var
>
ſuperficies verò trianguli
<
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>.q.o.p.</
var
>
ſit exempli-
<
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gratia
<
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>.V.M.</
var
>
& trian-
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guli
<
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>.u.o.p.</
var
>
ſit
<
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>.V.D.</
var
>
<
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<
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fig-0149-01
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<
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0149-01
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xlink:href
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</
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quarum
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ſe-
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ctio ſit
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non
<
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eſt enim
<
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quin triangulum
<
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>.q.
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p.u.</
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>
ſit perpendicula-
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re triangulo
<
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>.q.o.p.</
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>
<
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<
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hoc ex .18. lib. 11.
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Eucli. perpendicula-
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re ſit ſuperficiei
<
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>
<
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in qua reperitur
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gulum</
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<
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>.q.p.u.</
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& hoc
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ex linea
<
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>
perpendiculari dictæ ſuperficiei
<
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>.a.s</
var
>
. </
s
>
<
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xml:id
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xml:space
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">Nunc dico angulum
<
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>.q.o.u.</
var
>
modo
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maiorem, modo minorem eſſe angulo
<
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>.q.p.u</
var
>
. </
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<
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xml:space
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">Notiſſimum igitur primum nobis </
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