Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
141 15
142
143 15
144 16
145 17
146
147 18
148
149 19
150
151 20
152
153 21
154
155 22
156
157 23
158
159 24
160
161 25
162
163 26
164
165 27
166
167 28
168
169 29
170
< >
page |< < (22) of 213 > >|
QVARE quadratum b d magis excedit quadratum
33A f q, quàm b c quadratum:
& idcirco linea f q minor eſt,
quàm
b c:
itemq; f minor quam b r. ] _Quoniani exceſſus, quo_
_quadratum
b d excedit quadratum b c ad quadratum b d minorem_
_proportionem
habet, quàm exceſſus, quo quadratum b d excedit qua_
_dratum
f q, ad idem quadratum:
erit ex octaua quinti exceſſus, quo_
_quadratum
b d excedit quadratum b c, minor quàm exceſſus, quo ex_
_cedit
quadratum f q.
ergo quadratum f q minus est quadrato b c: &_
_propterea
linea f q minor linea b c.
Sed f q ad f eandem proportionẽ_
_habet
, quam b c ad b r;
utraque enim utriuſque ſeſquialtera est. cum_
4414. quinti _igitur f q ſit minor b c, &
f ipſa b r minor erit_.
Et propterea k r ad ſ y maiorem habet, quàm dimidium
55B ipſius k r ad ψ b.
] _Est enim k r ad ſ y, ut quadratum p s ad qua_
_dratum
ſ y:
& dimidium lineæ K r ad lineam ψ b, ut quadratum e ψ_
_ad
quadratum ψ b_.
Et s o minor quàm ψ b] _Est enim ſ y dupla ipſius ſ o._
66C
Et p h maior, quàm f. ] _Nam p h eſt æqualis ſ ω, & r ψ_
77D _ipſi f_.

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index