Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.]
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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.
Figure: /permanent/library/4E7V2WGH/figures/0145-01 not scanned
[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

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