DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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tim inquit,
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demonſtratum eſt ab iis, qui ante nos fuerunt.
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ſimiliter
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in libro de ſphęra, & cylindro ante propoſitionem decimam
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ſeptimam, cùm nonnulla ſuppoſuerit ab alijs demon ſtrata in
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quit.
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Hæc autem omnia à ſuperioribus ſunt demonſtrata.
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In ſecunda
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verò parte
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abbr
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quĩtę
">quintę</
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propoſitionis hui^{9} ſecudi libri cu inquit,
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emph
type
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italics
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De
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monſtratum eſt enim aliis in locis portiones ſeſquitertias eſſe
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abbr
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triangulorũ
">triangulorum</
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.
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emph.end
type
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italics
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quod quia ipſemet aſſecutus eſt in libro de quadratura para
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boles, idcircò non addit ab ipſomethoc oſtenſum fuiſſe. </
s
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<
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">A
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liaquè huiuſmodi loca breuitatis ſtudio omitto oſtendentia
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ea, quæ Archimedes ſupponit tanquam demonſtrata,
<
expan
abbr
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quãdo
">quando</
expan
>
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non additab alijs oſtenſa eſſe, à ſe ipſo demonſtrata fuiſſe, vt
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in demonſtratione decimæ quartę propoſitionis primi libri,
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nec non ex octaua huius ſecundi libri demonſtratione; alijſ
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què locis perſpicuum eſſe poteſt. </
s
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<
s
id
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N14A23
">Quare tùm ex præfntis Archi
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medis locis, tùm Heraclij teſtim onio manifeſtè elicipoteſt,
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Archimedem elementa conica ſcrip ſiſſe. </
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>
<
s
id
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N14A29
">Ne〈que〉 verò quicqua
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nos turbare debet, quòd Apollo nius coni ſectionibus nomina
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impoſuerit; ſi tamen ipſe prim us fuit; cùm eas proprijs nomi
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nibus, vt potè parabolen, hyperbolen, & ellipſim nuncupet;
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& in quolibet cono omnes agnouerit ſectiones. </
s
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<
s
id
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N14A33
">Nam quam
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uis vſ〈que〉 ad Archimedis tempus hi termini nondum extite
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lb
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rint; & in ſingulis conis priſci illi vnicam
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expan
abbr
="
tãtùm
">tantùm</
expan
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cognouerint
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lb
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ſectionem; Archimedes tamen vlteriùs progreſſus eſt. </
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<
s
id
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N14A3F
">etenim
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hæc quo〈que〉
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abbr
="
ſectionũ
">ſectionum</
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>
nomina ipſi fortaſse minùs ignota fue
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runt: quandoquidem in demonſtratione nonæ propoſitio
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nis de conoidibus, & ſphęroidibus ellipſim nominat. </
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>
<
s
id
="
N14A4B
">Pręte
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rea non ſolùm cognouit Archimedes conos ſecari poſſe pla
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nis lateribus coni erectis, verùm etiam alijs modis: quod qui
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dem exemplo ellipſis manifeſtari optimè poteſt. </
s
>
<
s
id
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N14A53
">Nam in o
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ctaua propoſitione eiuſdem libri ellipſes latus coni ad angu
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los rectos minimè ſecant. </
s
>
<
s
id
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N14A59
">veluti quo〈que〉 in nona propoſitione
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<
expan
abbr
="
idẽ
">idem</
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>
ſępè
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abbr
="
cõtingit
">contingit</
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>
. At verò in
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expan
abbr
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eodẽ
">eodem</
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>
adhuc libro ante
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expan
abbr
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primã
">primam</
expan
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pro
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poſitionem inquit Archimedes.
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emph
type
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italics
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Si conus plano ſecetur cum omnibus
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eius lateribus coeunti, ſectio vel erit circulus, vel acutianguli coni ſe
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ctio.
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emph.end
type
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italics
"/>
Vnde perſpicuum eſt non in vno duntaxat cono acutian
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gulo, verùm in omnibus conisſectionem ellipſis cognouiſſe.
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Præterea ex hoclo〈que〉ndi modo li〈que〉t ipſum ſectionem quo </
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