DelMonte, Guidubaldo
,
Mechanicorvm Liber
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N128CF
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<
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">Si verò æqualia triangula BFH BGK ſint
<
lb
/>
deorſum inter BC BA conſtituta; connectan
<
lb
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turq; HC KC, quæ lineas BF BG ex parte
<
lb
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FG productas in punctis MN ſecent erit BN
<
lb
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maior BM, & BM ipſa BA. </
s
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<
s
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">Nam producatur CH
<
lb
/>
Ck vſq; ad circumferentiam
<
lb
/>
in OP, Connectanturq; BO
<
lb
/>
BP; ſimili modo oſtende
<
lb
/>
tur lineam Pk maiorem eſ
<
lb
/>
ſe OH, angulumq; PkB mi
<
lb
/>
norem eſſe angulo OHB. </
s
>
<
s
id
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id.2.1.95.4.1.1.0.a
">&
<
lb
/>
quoniam angulus BHF eſt
<
lb
/>
æqualis angulo BkG; erit to
<
lb
/>
tus PKG angulus angulo
<
lb
/>
OHF minor: quare reliquus
<
lb
/>
GKN reliquo FHM maior
<
lb
/>
erit. </
s
>
<
s
id
="
id.2.1.95.4.1.2.0
">ſi it aq; conſtituatur angu
<
lb
/>
lus GkQ ipſi FHM æqua
<
lb
/>
lis, linea KQ ipſam GN ita
<
lb
/>
ſecabit, vt GQ ipſi FM æqua
<
lb
/>
lis euadat: quare maior. </
s
>
<
s
id
="
id.2.1.95.4.1.3.0
">erit
<
lb
/>
GN, quàm FM; quibus ſi
<
lb
/>
æquales adiiciantur BF BG,
<
lb
/>
erit BN ipſa BM maior. </
s
>
<
s
id
="
id.2.1.95.4.1.4.0
">&
<
lb
/>
cùm BM ſit ipſa FB maior,
<
lb
/>
erit quoq; ipſa BA maior. </
s
>
<
s
id
="
id.2.1.95.4.1.5.0
">ſi
<
lb
/>
militer oſtendetur, quò pro
<
lb
/>
pius fuerit BG ipſi BC, li
<
lb
/>
neam BN ſemper maiorem
<
lb
/>
eſſe.
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