DelMonte, Guidubaldo - Mechanicorvm Liber

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Si verò æqualia triangula BFH BGK ſint
deorſum inter BC BA conſtituta; connectan
turq; HC KC, quæ lineas BF BG ex parte
FG productas in punctis MN ſecent erit BN
maior BM, & BM ipſa BA.

Nam producatur CH
Ck vſq; ad circumferentiam
in OP, Connectanturq; BO
BP; ſimili modo oſtende
tur lineam Pk maiorem eſ
ſe OH, angulumq; PkB mi
norem eſſe angulo OHB. &
quoniam angulus BHF eſt
æqualis angulo BkG; erit to
tus PKG angulus angulo
OHF minor: quare reliquus
GKN reliquo FHM maior
erit. ſi it aq; conſtituatur angu
lus GkQ ipſi FHM æqua
lis, linea KQ ipſam GN ita
ſecabit, vt GQ ipſi FM æqua
lis euadat: quare maior. erit
GN, quàm FM; quibus ſi
æquales adiiciantur BF BG,
erit BN ipſa BM maior. &
cùm BM ſit ipſa FB maior,
erit quoq; ipſa BA maior. ſi
militer oſtendetur, quò pro
pius fuerit BG ipſi BC, li
neam BN ſemper maiorem
eſſe.

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