Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.]
[51. V.]
[52. DEMONSTRATIO SECVNDAE PARTIS.]
[53. COMMENTARIVS.]
[54. DEMONSTRATIO TERTIAE PARTIS.]
[55. COMMENTARIVS.]
[56. DEMONSTRATIO QVARTAE PARTIS.]
[57. DEMONSTRATIO QVINT AE PARTIS.]
[58. FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.]
[59. FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.]
[60. CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.]
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ARCHIMEDIS
quadratum b d; in humidum demiſſa, & poſi-
ta inclinata adeo, ut baſis ipſius non contingat
humidum;
conſiſtet inclinata, ita ut baſis in uno
puncto humidi ſuperficiem contingat:
& axis cũ
ea faciat angulum angulo φ æqualem.

IIII.

Si portio ad humidum in grauitate maiorem
Bquidem proportionem habeat, quàm quadra-
tum f p ad quadratum b d;
minorem uero,
quàm quadratum x o ad b d quadratum;
in hu-
midum demiſſa, &
inclinata adeo, ut baſis ipſius
non contingat humidum conſiſtet, &
manebit
ita, ut baſis in humidum magis demergatur.

V.

Si portio ad humidum in grauitate proportio
nem habeat minorem, quàm quadratum f p ad
quadratum b d:
demiſſa in humidum, & poſita
inclinata adeo ut baſis ipſius non contingat humi
dum:
conſiſtet inclinata, ita ut axis ipſius cum
humidi ſuperficie angulum faciat minorem an-
gulo φ:
& baſis nullo modo ſuperficiem humi-
di contingat.
Hæc autem omnia deinceps de-
monſtrabuntur.

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