DelMonte, Guidubaldo
,
In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
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ipsi AD æquidiſtantes, erit AE ad EB, vt DO ad OB; & vt
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DZ ad ZC, ſic AF ad FC. at〈que〉 DO ad OB eſt, vt DZ ad
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ZC. erit igitur AE ad EB, vt AF ad FC. quare EF ipſi BC
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eſt æquidiſtans, eodemquè modo oſtendetur, ita eſſe AG ad
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GB, vt AK ad KC, & AL ad LB, vt AM ad MC. ex quib^{9}
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ſequitur LM GK EF non ſolùm ipſi BC, verùm etiam inter
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ſeſe parallelas eſſe. </
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K
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in X
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. ipſam verò
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AD in T. lineaquè GK ſecet L
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M
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in N
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, & AD in Y.
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linea deniquè LM ipſam AD in S diſpeſcat. </
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tem D
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eſt ipſi HI æquidiſtans, eſtquè D
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minor
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HI, li
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nea
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M ipſi AL ęquidiſtans ipſam HI ſecabir. </
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punctum H centrum grauitatis trianguli ABC extra paral
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lelogrammum DM reperitur. </
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ſunt para lelogramma, erunt LS
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D inter ſe æquales, ſimili
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ter SM D
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ęquales. </
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D D
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ęquales: ergo & LS
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SM inter ſe ſunt ęquales. </
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inter ſe
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ſe, & ipſis LS SM ęquales exiſtent. </
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diuiditlatera oppoſita parallelogrammi MN. pariquè ratio
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ne oſtendetur lineam YT bifariam diuidere oppoſita latera
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parallelogrammi KX; lineamquè TD latera oppoſita </
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