Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[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.]
[71. THEOREMA VI. PROPOSITIO VI.]
[72. THE OREMA VII. PROPOSITIO VII.]
[73. THE OREMA VIII. PROPOSITIO VIII.]
[74. THE OREMA IX. PROPOSITIO IX.]
[75. PROBLEMA I. PROPOSITIO X.]
[76. PROBLEMA II. PROPOSITIO XI.]
[77. PROBLEMA III. PROPOSITIO XII.]
[78. PROBLEMA IIII. PROPOSITIO XIII.]
[79. THEOREMA X. PROPOSITIO XIIII.]
[80. THE OREMA XI. PROPOSITIO XV.]
[81. THE OREMA XII. PROPOSITIO XVI.]
[82. THE OREMA XIII. PROPOSITIO XVII.]
[83. THEOREMA XIIII. PROPOSITIO XVIII.]
[84. THEOREMA XV. PROPOSITIO XIX.]
[85. THE OREMA XVI. PROPOSITIO XX.]
[86. THEOREMA XVII. PROPOSITIO XXI.]
[87. THE OREMA XVIII. PROPOSITIO XXII.]
[88. THEOREMA XIX. PROPOSITIO XXIII.]
[89. PROBLEMA V. PROPOSITIO XXIIII.]
[90. THEOREMA XX. PROPOSITIO XXV.]
< >
page |< < of 213 > >|
FED. COMMANDINI
mus: erit utique grauitatis centrum pyramidis punctum
g:
in quo ſcilicet ipſi axes conueniunt.

THEOREMA XIIII. PROPOSITIO XVIII.

Si ſolidum parallelepipedum ſecetur plano
baſibus æquidiſtante;
erit ſolidum ad ſolidum,
ſicut altitudo ad altitudinem, uel ſicut axisad
axem.
Sit ſolidum parallelepipe
Figure: /permanent/library/4E7V2WGH/figures/0156-01 not scanned
[Figure 110]
dum a b c d e f g h, cuius axis
k 1:
ſeceturq; plano baſibus
æquidiſtante, quod faciat
fectionem m n o p;
& axi in
puncto q occurrat.
Dico
ſolidum g m ad ſolidum m c
eam proportionem habere,
quam altitudo ſolidi g m ha-
betad ſolidi m c altitudi-
nem;
uel quam axis k q ad
axem q l.
Sienim axis K l ad
baſis planum ſit perpendicu
laris, &
linea g c, quæ ex quin
ta huius ipſi k l æquidiſtat,
perpendicularis erit ad idẽ
planum, &
ſolidi altitudi-
nem dimetietur.
Itaqueſo-
2. undeci
mi.
lidum g m ad ſolidum m c
eam proportionem habet,
quam parallelogrammũ g n
ad parallelogrammum n c,
hoc eſt quam linea g o, quæ
i. ſexti.

Text layer

  • Dictionary

Text normalization

  • Original

Search


  • Exact
  • All forms
  • Fulltext index
  • Morphological index