Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[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.]
[61. ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.]
[62. FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.]
[63. PETITIONES.]
[64. THEOREMA I. PROPOSITIO I.]
[65. THEOREMA II. PROPOSITIO II.]
[66. THE OREMA III. PROPOSITIO III.]
[67. THE OREMA IIII. PROPOSITIO IIII.]
[68. ALITER.]
[69. THEOREMA V. PROPOSITIO V.]
[70. COROLLARIVM.]
< >
page |< < (17) of 213 > >|
DE CENTRO GRAVIT. SOLID.

PROBLEMA I. PROPOSITIO X.

Data qualibet pyramide, fieri poteſt, ut fi-
gura ſolida in ipſa in ſcribatur, &
altera circũſcri-
batur ex priſmatibus æqualem aItitudinem ha-
bẽtibus, ita ut cir cumſcripta inſcriptam excedat
magnitudine, quæ minor ſit quacũque ſolida ma
gnitudine propoſita.
Could not fetch figure by nausikaa2.rz-berlin.mpg.de: please try again later
[Figure 99]
Sit pyramis, cuius baſis
triangulũ a b c;
axis d e.
Sitq; priſma, quod eandẽ
baſim habeat, &
axem eun
dem.
Itaque hoc priſma-
te continenter ſecto bifa-
riam, plano baſi æquidiftã
te, relinquetur tãdem priſ
ma quoddam minus pro-
poſita magnitudine:
quod
quidem baſim eandem ha
beat, quam pyramis, &
a-
xem e f.
diuidatur d e in
partes æquales ipſi e f in
punctis g h k l m n:
& per
diuiſiones plana ducãtur:

quæ baſibus æquidiſtent,
erunt ſectiones, triangula
ipſi a b c ſimilia, ut proxi-
me oſtendimus.
ab uno
quoque autẽ horum trian
gulorum duo priſmata cõ
ſtruantur;
unum quidem
ad partes e;
alterum ad

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index