Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[21.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.
[22.] PROPOSITIO II.
[23.] COMMENTARIVS.
[24.] PROPOSITIO III.
[25.] PROPOSITIO IIII.
[26.] COMMENTARIVS.
[27.] PROPOSITIO V.
[28.] COMMENTARIVS.
[29.] PROPOSITIO VI.
[30.] COMMENTARIVS.
[31.] LEMMAI.
[32.] LEMMA II.
[33.] LEMMA III.
[34.] LEMMA IIII.
[35.] PROPOSITIO VII.
[36.] PROPOSITIO VIII.
[37.] COMMENTARIVS.
[38.] PROPOSITIO IX.
[39.] COMMENTARIVS.
[40.] PROPOSITIO X.
[41.] COMMENTARIVS.
[42.] LEMMA I.
[43.] LEMMA II.
[44.] LEMMA III.
[45.] LEMMA IIII.
[46.] LEMMA V.
[47.] LEMMA VI.
[48.] II.
[49.] III.
[50.] IIII.
< >
page |< < (16) of 213 > >|
4316DE IIS QVAE VEH. IN AQVA. dratum n o ad quadratum p f. quadratum igitur n o ad
quadratum
p f non maiorem proportionem habet, quàm
ad
quadratum m o.
ex quo eſſicitur, ut p f non ſit minor
11C ipſa o m;
neque p b ipſa o h. quæ ergo ab h ducitur ad
22D rectos angulos ipſi n o, coibit cum b p inter p &
b. co-
eatin
t.
& quoniam in rectanguli coniſectione p f eſt æqui
diſtans
diametro n o;
h t autem ad diametrum perpẽ-
dicularis
:
& r h æqualis ei, quæ uſque ad axem: conſtat r t
productam
ſacere angulos rectos cum ipſa k p ω.
quare
&
cum is. ergo rt perpendicularis eſt ad ſuperſiciem hu
midi
.
et ſi per b g puncta ducantur æquidiſtantes ipſirt,
ad
ſuperſiciem humidi perpendicular es erunt.
portio igi
tur
, qnæ eſt extra humidum, deorſum in humidum feretur
ſecundum
perpendicularem per b ductam;
quæ uero in-
tra
humidum ſecundum perpendicularem per g ſurſum
feretur
:
& non manebit ſolida portio a p o l, ſedintra hu
midum
mouebitur, donecutique ipſa n o ſecundum per-
pendicularem
ſiat.

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index