DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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<
archimedes
>
<
text
>
<
body
>
<
chap
id
="
N10019
">
<
p
id
="
N148BC
"
type
="
main
">
<
s
id
="
N14A59
">
<
pb
xlink:href
="
077/01/127.jpg
"
pagenum
="
123
"/>
〈que〉 nouiſſe ſubcontrariam; quæ cùm ſit baſi ſubcontraiſè po
<
lb
/>
ſita,
<
expan
abbr
="
oĩa
">oina</
expan
>
latera coni ſecat; &
<
expan
abbr
="
tñ
">tnm</
expan
>
<
expan
abbr
="
nō
">non</
expan
>
eſt ellipſis, ſed
<
arrow.to.target
n
="
marg200
"/>
qua
<
lb
/>
propter ſi in omnibus conis ellipſis nouit ſectionem; cur in i
<
lb
/>
pſis, & parabolas, & hyperbolas minùs animaduertit? </
s
>
<
s
id
="
N14A96
">cùm
<
lb
/>
ſit manifeſtum ex dictis in cono obtuſiangulo &
<
expan
abbr
="
hyperbolẽ
">hyperbolem</
expan
>
<
lb
/>
& ellipſim; in rectangulo autem parabolem, ellipſimquè co
<
lb
/>
gnouiſſe? </
s
>
<
s
id
="
N14AA2
">hòc certè non eſt aſſerendum. </
s
>
<
s
id
="
N14AA4
">Ex hoc enim perſpi
<
lb
/>
cuum eſt Archimedem cognouiſſe conos ſecari poſſe planis,
<
lb
/>
quæ non ſint ſemper ad coni latus erecta. </
s
>
<
s
id
="
N14AAA
">dormitaſſequè Eu
<
lb
/>
tocium Geminum, & alios ſecus hac in parte de Archimede
<
lb
/>
ſentientes. </
s
>
<
s
id
="
N14AB0
">Ampliùs
<
expan
abbr
="
nõ
">non</
expan
>
ne cognouit etiam Archimedes ſeca
<
lb
/>
ri poſſe rectangulos conoides, itidemquè &
<
expan
abbr
="
obtuſiãgulos
">obtuſiangulos</
expan
>
pla
<
lb
/>
nis, quæ ne〈que〉 ſint per axem ducta, ne〈que〉 axi æquidiſtantia;
<
lb
/>
ne〈que〉 ſuper axem erecta. </
s
>
<
s
id
="
N14AC0
">vt in duodecima, decimatertia, &
<
lb
/>
decima quarta propoſitione eiuſdem libri patet. </
s
>
<
s
id
="
N14AC4
">quomodo i
<
lb
/>
ta〈que〉 his quo〈que〉 modis 〈que〉mlibet conum ſecari poſſe igno
<
lb
/>
rauit? </
s
>
<
s
id
="
N14ACA
">Non eſt igitur ambigendum Archimedem cognouiſ
<
lb
/>
ſe conos ſecari poſſe planis ad latus coni differentem inclina
<
lb
/>
tionem habentibus. </
s
>
<
s
id
="
N14AD0
">Ex quibus perſpicuum eſt, ipſum in om
<
lb
/>
nibus conis omnes ineſſe ſectiones omnino animaduertiſſe.
<
lb
/>
At ſi concedamus etiam ſua tempeſtate nondum ſectioni
<
lb
/>
bus ipſis propria fuiſſe impoſita nomina; tam eam parabo
<
lb
/>
lem, quæ erat rectanguli coni ſectio; quàm quæ erat ſectio
<
lb
/>
alterius coni, cùm ſit eadem ſectio, eodem nomine nuncu
<
lb
/>
pabat; nempè rectanguli coni ſectionem. </
s
>
<
s
id
="
N14ADE
">Et hoc, quia
<
lb
/>
priùs hæc ſectio cognita ſuit in cono rectangulo (vnde ſi
<
lb
/>
bi nomen vindicauit) quam in alio. </
s
>
<
s
id
="
N14AE4
">quod idem dicen
<
lb
/>
dum eſt de alijs ſectionibus. </
s
>
<
s
id
="
N14AE8
">Vt manifeſtum eſſe poteſt
<
lb
/>
exemplo ſectionis acutianguli coni. </
s
>
<
s
id
="
N14AEC
">Archimedes enim eo
<
lb
/>
dem loco, anteprimam ſcilicet propoſitionem de conoidi
<
lb
/>
bus, & ſphęroidibus inquit,
<
emph
type
="
italics
"/>
Si cylindrus duobus planis æquidi
<
lb
/>
stantibus ſecetur; quæ cum omnibus ipſius lateribus coeant, ſectio
<
lb
/>
nes, uelerunt circuli; uel conorum acutiangulorum ſectiones.
<
emph.end
type
="
italics
"/>
vo
<
lb
/>
catigitur Archimedes acutianguli coni ſectionem, tam coni
<
lb
/>
<
expan
abbr
="
ſectionẽ
">ſectionem</
expan
>
, quàm
<
expan
abbr
="
ſectionẽ
">ſectionem</
expan
>
cylindri. </
s
>
<
s
id
="
N14B07
">veluti
<
expan
abbr
="
etiã
">etiam</
expan
>
in decimatertia,
<
lb
/>
& decimaquarta propoſitione
<
expan
abbr
="
eiuſdē
">eiuſdem</
expan
>
libri
<
expan
abbr
="
acutiãguli
">acutianguli</
expan
>
coni ſe
<
lb
/>
ctio ab ipſo ea
<
expan
abbr
="
nūcupatur
">nuncupatur</
expan
>
ſectio, quæ
<
expan
abbr
="
oīa
">oina</
expan
>
latera tam conoidis </
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
archimedes
>