DelMonte, Guidubaldo
,
Mechanicorvm Liber
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<
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">PROPOSITIO VII. </
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<
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">Sit recta linea AB, cuì perpendicularis exi
<
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ſtat AD, quæ ex parte D producatur vtcunq; vſq;
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ad C; connectaturq; CB, quæ producatur e
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tiam vſq; ad E; & inter AB BE lineæ ſimiliter
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vtcunq; ducantur BF BG ipſi AB æquales; à
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punctisq; FG lineæ FH GK ipſi AB æquales,
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ipſis verò BF BG
<
expan
abbr
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perpẽdiculares
">per
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pendiculares</
expan
>
ducantur;
<
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ac ſi BA AD motæ
<
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ſint in BF FH BG
<
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GK: Connectanturq;
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CH CK, quæ lineas
<
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BF BG productas ſe
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cent in punctis MN. </
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>
<
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id
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id.2.1.95.5.1.1.0.a
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<
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Dico BN maiorem eſ
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ſe BM, & BM ipſa BA.
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</
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</
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<
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id
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<
s
id
="
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">Connectantur BD BH Bk,
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& centro B, interuallo quidem
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BD, circulus deſcribatur. </
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>
<
s
id
="
id.2.1.95.6.1.2.0
">ſimi
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liter vt in præcedenti demon
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ſtrabimus puncta kHDOP in
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circuli circumferentia eſſe, trian
<
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gulaq; ABD FBH GBk in
<
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ter ſe ſe æqualia eſſe, atq; lineam
<
lb
/>
Pk maiorem OH, angulumq;
<
lb
/>
PKB minorem eſſe angulo O
<
lb
/>
HB. </
s
>
<
s
id
="
id.2.1.95.6.1.2.0.a
">Quoniam igitur angulus BHF æqualis eſt angulo BkG, </
s
>
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