DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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[Figure 111]
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libro de quadratura paraboles, propoſitione ſcilicet decimaſe
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ptima, & vigeſimaquarta, docuit quamlibet portionem recta
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linea, rectanguliquè coni ſectione contentam ſeſquitertiam
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eſſe trianguli eandem ipſi baſim habentis, &
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expan
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altitudinẽ
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ęqua
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lem. </
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<
s
id
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N14DEA
">Ex qua propoſitione facilè conſtat nos parabolę
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expan
abbr
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ſpaciū
">ſpacium</
expan
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lb
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ad rectam lineam applicare poſſe, vt propoſitum fuit hoc
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modo. </
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head
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">PROBLEMA.</
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type
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<
s
id
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N14DFA
">Ad datam rectam lineam datę parabolę ęquale parallelo
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lb
/>
grammum applicare, ita vt data linea oppoſita
<
expan
abbr
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parallelogrã-mi
">parallelogran
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mi</
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latera biſariam diuidat. </
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number
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86
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p
id
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type
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<
s
id
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N14E09
">Data ſit parabole
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ABC, ſitquè data recta
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lb
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linea GK. oportet ad
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lb
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GK
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expan
abbr
="
parallelogrãmum
">parallelogrammum</
expan
>
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lb
/>
applicare æquale por
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lb
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tioni ABC, ita vt GK
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bifariam diuidat oppo
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ſita parallelogram mi
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latera. </
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>
<
s
id
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N14E1F
">Conſtituatur ſu
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lb
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per AC
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expan
abbr
="
triãgulũ
">triangulum</
expan
>
ABC,
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lb
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qd baſim habeat AC,
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lb
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eandem〈que〉 portionis
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lb
/>
<
expan
abbr
="
altitudinẽ
">altitudinem</
expan
>
; quod
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expan
abbr
="
quidẽ
">quidem</
expan
>
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lb
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fiet,
<
expan
abbr
="
inuẽta
">inuenta</
expan
>
diametro DB, quæ parabolen in B ſecet,
<
expan
abbr
="
iunctiſq́
">iunctiſ〈que〉</
expan
>
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arrow.to.target
n
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marg207
"/>
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AB BC. eritvti〈que〉 parabole ABC trianguli ABC ſeſquitertia.
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lb
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Ita〈que〉 diuidatur AC in tria ęqualia, quarum vna pars ſit
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marg208
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producaturquè AC. fiatquè CL ipſi CH ęqualis
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gap
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erit ſanè AL
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lb
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ipſius AC ſeſq uitertia. </
s
>
<
s
id
="
N14E4E
">Et obid (iuncta BL) erit triangulum
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lb
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ABL trianguli ABC ſeſquitertium. </
s
>
<
s
id
="
N14E52
">ſunt quippè triangula
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arrow.to.target
n
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marg209
"/>
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lb
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ABC inter ſe, vt baſes AL AC. ac per conſe〈que〉ns triangulum
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lb
/>
ABL patabolę ABC exiſtit ęquale. </
s
>
<
s
id
="
N14E5B
">Applicetur ita〈que〉 ad
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arrow.to.target
n
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marg210
"/>
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lb
/>
GK
<
expan
abbr
="
parallelogrãmũ
">parallelogrammum</
expan
>
GS ęquale
<
expan
abbr
="
triãgulo
">triangulo</
expan
>
ABL. erit GS </
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