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 |< < (11) of 213 > >|
13311DE CENTRO GRA VIT. SOLID.& per o ducatur o p ad k m ipſi h g æquidiſtans. Itaque li
nea h m bifariã uſque eò diuidatur, quoad reliqua ſit pars
quædam q m, minor o p.
deinde h m, m g diuidantur in
partes æ quales ipſi m q:
& per diuiſiones lineæ ipſi m K
æ quidiſtantes ducantur.
puncta uero, in quibus hæ trian-
gulorum latera ſecant, coniungantur ductis lineis r s, t u,
89[Figure 89] x y;
quæ baſi g h æquidiſtabunt. Quoniam enim lineæ g z,
h α ſunt æ quales:
itemq; æquales g m, m h: ut m g ad g z,
ita erit m h, ad h α:
& diuidendo, ut m z ad z g, ita m α ad
α h.
Sed ut m z ad z g, ita k r ad r g: & ut m α ad α h, ita k s
112. ſexti. ad s h.
quare ut κ r ad r g, ita k s ad s h. æ quidiſtant igitur
22I1. quinti inter ſe ſe r s, g h.
eadem quoque ratione demonſtrabimus
332. ſexti.

Text layer

  • Dictionary

Text normalization

  • Original
  • Regularized
  • Normalized

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index