Full text: Cavalieri, Bonaventura: Geometria indivisibilibvs continvorvm

LIBER II. ſct Icoſaedrum, AC, & , AB, recta linea ipſius latere minor, non diſ-
ſimiliter, ac in cubis inuenta eſſent Icoſaedra, AD, DB, quorum diffe-
rentia eſſet æqualis dato Icoſaedro, AC, nec non eorumdem laterum bo-
mologorum differentia æqualis datæ rectæ lineæ, AB. Sic etiam datæ
Sphæræ Orbem datæ craſſitici, minoris tamen illius ſemidiametro, æqua-
lem poſſibile erit inuenire. Vniuerſaliſſimè autem dato quocumq. ſolido,
duorum ipſi dato ſimilium differentiam æqualem poſſibile erit inuenire,
quorum pariter linearum, ſeu laterum bomologorum differentia ſit da-
ta, dummodo ea ſit minor linea, ſeu latere propoſiti ſolidi prædictis
bomologo, quodex ſuperius dictis facilè conſiare poteſt.

297. SCHOLIVM.

NOnnulla autem ex præfatis proximis Propoſitionibus etiam ab
alijs oſtenſæ fuerunt, ſed ne Lectori ad alios Libros pro barum
captu eſſet recurrendum, bic eas adiungere placuit, pręcipuè cum ea-
rum adductę demonſtrationes abaliorum Auctorum rationibus, ni fal-
lor, non parum ſint differentes, cum ferè omnes ex vnica Propoſ. 35. via ſatis compendioſa deductæ ſint; qued olim me circa Propoſitiones
Secundi Elem. à prima nempè vſq; ad 10. præſtitiſſe memini, eas omnes
ex prima compendioſiſſimè demonſtrando, vt etiam poſtmodum, & Pa-
trem Clauium feciſſe animaduerti.

298. Finis Secundi Libri.

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