Ceva, Giovanni
,
Geometria motus
,
1692
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BI, CN, DG, & inſcripta compoſita ex rectangulis inter ſe
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pariter æquealtis BL, CR, DI, EN. </
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">Cum circumſcriptą
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figura differat ab inſcripta exceſſu, quo rectangulum DG
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ſuperat BL; (nam reliqua circumſcripta AK, BI, CN, re
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liquis inſcriptis æqualia ſunt) ſequitur, exceſſum illum eſſe
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minorem magnitudine Z. </
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maior magnitudine ALGE pro exceſſu Z, maior etiam erit
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circumſcripta AK, BI, CN, DG. </
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">Quòd ſi contrà Y intelli
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gatur minor ipſa ALGE ex defectu Z, erit quoque eadem
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Y minor, quàm inſcripta figura BL, CK, DI, EN. </
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nunc, ſi fieri poteſt, ſit Y maior magnitudine ALGE per ip
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ſum exceſſum Z, & intelligantur tot motus, quot ſunt re
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ctangula in circumſcripta figura, ſcilicet ſint ipſi motus ab
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A in B, à B in C, à C in D, & à D in E ſecundum deinceps,
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temporum imagines AK, BI, CN, DG rectangula, quæ
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ſint interſe, & propoſitis imaginibus homogeneæ, qui
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motus erunt proptereà æquabiles. </
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">His poſitis, tempus
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per FM iuxta imaginem MH ad tempus per AB iuxta ima
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ginem rectangulum AK eandem habet rationem, quam re
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ctangulum MH ad rectangulum AK, ſimiliter idem tem
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pus per FM ſecundùm ipſam imaginem rectangulum MH
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ad ſingula reliqua tempora per BC, CD, DE imaginibus
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deinceps rectangulis BI, CN, DG habet eandem rationem,
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quam rectangulum MH ad ſingula eodem ordine rectan
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gula BI, CN, DG. </
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">Quo circa totidem rectangula ex MH,
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quot ſunt illa, ex quibus conſtat circumſcripta figura, ha
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bebunt ad ea ipſa circumſcripta rectangula, ſeu ad eandem
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circumſcriptam figuram AK, BI, CN, DG eandem ratio
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nem, quam totidem tempora eiuſdem imaginis MH ad ſi
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mul tempora, quorum imagines ſunt illa ipſa circumſcripta
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rectangula AK, BI, CN, DG. </
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ctangulum MH ad circumſcriptam figuram AK, BI, CN,
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DG erit in eadem ratione, in quo vnicum tempus per FM
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iuxta imaginem MH ad omnia ſimul illa tempora iuxtą </
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