Clavius, Christoph
,
Geometria practica
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LIBER TERTIVS.
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eſt, vt BE, ad AB, ita AF, ad GF; </
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<
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xml:space
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">erit permutando, vt BE, ad AF, ita AB, ad
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xml:space
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">4. ſexti.</
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FG. </
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<
s
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xml:space
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">Eademque ratione erit vt b H, ad a F, ita a b, ad FG; </
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<
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xml:space
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">ac proinde erit, vt tota
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BE, ad totam AF, ita ablata b H, vel B I, ad ablatam a F, cum vtraque propor-
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tio ſit, quæ AB, vel a b, ad FG.</
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139-01
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<
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xml:space
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">Igitur erit quo que reliqua IE, ad reliquam A a, vt tota BE, ad totam AF, hoc
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eſt, vt AB, ad FG, cum duæ hę proportiones eædem inter ſe ſint, vt paulò ant@
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demonſtrauimus. </
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<
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Vt IE, differentia vmbra- \\ rum rectarum # Ad Aa, differentiam ſta- \\ tionum: # Ita A B, quadrati
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\\ lat{us} 1000. # ad F G,
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<
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<
s
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">proſiliet nota altitudo FG, & </
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<
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">adiuncta menſoris ſtatura FL, tota altitudo G L,
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quęſita nota efficietur.</
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xml:space
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">ALITER.</
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">DIVIDE quadrati lat{us} 1000. </
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">per vtramque vmbram rectam, & </
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<
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">minorem Quo-
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tientem duc in differ entiam ſtationum, numerumque productum partire per differen-
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tiam Quotientum. </
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<
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xml:space
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">Si namque hic vltim{us} Quotiens ducatur in Quotientem maiorem
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ex priorib{us} duob{us} Quotientib{us}, produc{et}ur altitudo quæſi@a in partib{us} differentiæ
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ſtationum. </
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<
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">Quod ita perſpicuum fi{et}.</
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<
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vmbra recta minor b H. </
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<
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<
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ſtationum Aa, ſit 16. </
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<
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"> Et quia eſt, vt b H, ad a b, ita a F, quatenus 1. </
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xml:space
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">4. ſexti.</
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F G; </
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<
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">ſi a b, 1000. </
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<
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">diuidatur per b H, 50. </
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<
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">rectam a F, in
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F G, contineri vicies.</
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<
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<
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etiam, quia eſt, vt BE, ad A B, ita AF, quatenus 1, ad FG; </
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<
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diuidatur per BE, 125. </
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">rectam AF, in FG, contineri o-
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cties. </
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">paſſuum vna cum a F, continetur in FG, octies, fit vt
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Aa, 16. </
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<
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">paſſuum octies ſumpta, vna cum a F, octies quoque ſumpta, faciat 128.
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</
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<
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<
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