Archimedes - Archimedis De iis qvae vehvntvr in aqva libri dvo

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.

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.

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