DelMonte, Guidubaldo
,
Mechanicorvm Liber
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036/01/108.jpg
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<
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id.2.1.95.3.1.1.0
">Si verò æqualia triangula BFH BGK ſint
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lb
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deorſum inter BC BA conſtituta; connectan
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lb
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turq; HC KC, quæ lineas BF BG ex parte
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FG productas in punctis MN ſecent erit BN
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maior BM, & BM ipſa BA. </
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<
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id
="
id.2.1.95.4.1.1.0
">Nam producatur CH
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lb
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Ck vſq; ad circumferentiam
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lb
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in OP, Connectanturq; BO
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lb
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BP; ſimili modo oſtende
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tur lineam Pk maiorem eſ
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ſe OH, angulumq; PkB mi
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norem eſſe angulo OHB. </
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>
<
s
id
="
id.2.1.95.4.1.1.0.a
">&
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lb
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quoniam angulus BHF eſt
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lb
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æqualis angulo BkG; erit to
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lb
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tus PKG angulus angulo
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OHF minor: quare reliquus
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lb
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GKN reliquo FHM maior
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erit. </
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<
s
id
="
id.2.1.95.4.1.2.0
">ſi it aq; conſtituatur angu
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lb
/>
lus GkQ ipſi FHM æqua
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lb
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lis, linea KQ ipſam GN ita
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ſecabit, vt GQ ipſi FM æqua
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lis euadat: quare maior. </
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>
<
s
id
="
id.2.1.95.4.1.3.0
">erit
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lb
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GN, quàm FM; quibus ſi
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lb
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æquales adiiciantur BF BG,
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lb
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erit BN ipſa BM maior. </
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<
s
id
="
id.2.1.95.4.1.4.0
">&
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lb
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cùm BM ſit ipſa FB maior,
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lb
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erit quoq; ipſa BA maior. </
s
>
<
s
id
="
id.2.1.95.4.1.5.0
">ſi
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lb
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militer oſtendetur, quò pro
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lb
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pius fuerit BG ipſi BC, li
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neam BN ſemper maiorem
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lb
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eſſe.
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