Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of figures

< >
[Figure 121]
[Figure 122]
[Figure 123]
[Figure 124]
[Figure 125]
[Figure 126]
[Figure 127]
[Figure 128]
[Figure 129]
[Figure 130]
[Figure 131]
[Figure 132]
[Figure 133]
[Figure 134]
[Figure 135]
[Figure 136]
[Figure 137]
[Figure 138]
[Figure 139]
[Figure 140]
[Figure 141]
[Figure 142]
[Figure 143]
[Figure 144]
[Figure 145]
[Figure 146]
[Figure 147]
[Figure 148]
[Figure 149]
[Figure 150]
< >
page |< < of 213 > >|
172FED. COMMANDINI Dico eas proportion ales eſſe in proportione, quæ eſt la-
teris a b adlatus d e, itaut earum maior ſit a b c e, me-
dia a d c e, &
minor d e f c. Quoniam enim lineæ d e,
a b æquidiſtant;
& interipſas ſunt triangula a b e, a d e;
erit triangulum a b e
126[Figure 126]111. ſextí. ad triangulum a d e,
ut linea a b ad lineam
d e.
ut autem triangu
lum a b e ad triangu-
lum a d e, ita pyramis
225. duodeci
mi.
a b e c ad pyramidem
a d e c:
habent enim
altitudinem eandem,
quæ eſt à puncto c ad
planum, in quo qua-
drilaterum a b e d.
er-
3311. quinti. go ut a b ad d e, ita pyramis a b e c ad pyramidem a d e c.
Rurſus quoniam æquidiſtantes ſunt a c, d f; erit eadem
ratione pyramis a d c e ad pyramidem c d f e, ut a c ad
444 ſexti. d f.
Sed ut a c a l d f, ita a b ad d e, quoniam triangula
a b c, d e f ſimilia ſunt, ex nona huius.
quare ut pyramis
a b c e ad pyramidem a d c e, ita pyramis a d c e ad ipſam
d e f c.
fruſtum igitur a b c d e f diuiditur in tres pyramides
proportionales in ea proportione, quæ eſt lateris a b ad d e
latus, &
earum maior eſt c a b e, media a d c e, & minor
d e f c.
quod demonſtrare oportebat.
PROBLEMA V. PROPOSITIO XXIIII.
Qvodlibet fruſtum pyramidis, uel coni,
uel coni portionis, plano baſi æquidiſtanti ita ſe-
care, ut ſectio ſit proportionalis inter maiorem,
&
minorem baſim.

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index