Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

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156136GEOMETRIÆ quæ prædictis ſimilibus ſolidis æquabuntur ea nempè, quorum om-
nes prædictæ adiacentes figuræ erunt omnia plana, nam hæ omnes
adiacentes erunt æquales omnibus homologis figuris dictorum ſimi-
lium ſolidorum, quarum omnes lineę in ipſas figuras adiacentes mo-
113. huius. dò dicto translatę funt, ſint hęc ſolida, HZ, {00/ }, Σ Γ 2, igitur, AP,
erit æquale ipſi, HZ {00/ }, &
, V & , ipſi, Σ 2. Sed & hæc ſolida, H
22Defin. 11.
ib. 1.
Z {00/ }, Σ Γ 2, eruntinter ſe ſimilia, nam figurę planę in eiſdem captę,
91[Figure 91] æquidiſtantes dictis tangentibus planis, &
altitudines reſpectu dicto-
rum tangentium ſumptas ſimiliter, &
ad eandem partem di uidentes,
ſunt inter ſe ſimiles, &
in ipſis linearum homologarum regulæ om-
nes vni cuidam æquidiſtant, illi nempè, qua regula translationes fa-
ctæ ſunt, &
earundem figurarum ſi milium, incidentes ſunt lineę ho-
mologæ duarum planarum ſimilium figurarum, nempè, H {00/ }, Σ 2,
æqualiter ad figuras adiacentes, &
ad eandem partem inclinatarum,
quarum regulæ ſunt communes ſectiones oppoſitorum

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