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 |< < (5) of 213 > >|
DE CENTRO GRAVIT. SOLID.
quo ſcilicet ln, om conueniunt. Poſtremo in figura
a p l q b r m s c t n u d x o y centrum grauitatis trian
guli pay, &
trapezii ploy eſtin linea a z: trapeziorum
uero lqxo, q b d x centrum eſtin linea z k:
& trapeziorũ
b r u d, r m n u in k φ:
& denique trapezii m s t n; & triangu
li s c t in φ c.
quare magnitudinis ex his compoſitæ centrū
in linea a c conſiſtit.
Rurſus trianguli q b r, & trapezii q l
m r centrum eſt in linea b χ:
trapeziorum l p s m, p a c s,
a y t c, y o n t in linea χ φ:
trapeziiq; o x u n, & trianguli
x d u centrum in ψ d.
totius ergo magnitudinis centrum
eſtin linea b d.
ex quo ſequitur, centrum grauitatis figuræ
a p l q b r m s c t n u d x o y eſſe punctū _K_, lineis ſcilicet a c,
b d commune, quæ omnia demonſtrare oportebat.

THE OREMA III. PROPOSITIO III.

Cuiuslibet portio-
Figure: /permanent/library/4E7V2WGH/figures/0121-01 not scanned
[Figure 75]
nis circuli, &
ellipſis,
quæ dimidia non ſit
maior, centrum graui
tatis in portionis dia-
metro conſiſtit.
HOC eodem prorſus
modo demonſtrabitur,
quo in libro de centro gra
uitatis planorum ab Ar-
chimede demonſtratũ eſt,
in portione cõtenta recta
linea, &
rectanguli coni ſe
ctione grauitatis cẽtrum
eſſe in diametro portio-
nis.
Etita demonſtrari po
Handwritten: hd-0121-02a not scanned
[Handwritten]

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index