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 IIS QVAE VEH. IN AQVA.
interdũ quidem ita, ut baſis in humidum magis
Cdemergatur:
interdum uero ita, ut ſuperficiem
Dhumidi nullo modo contingat;
ſecundum pro-
Eportionem, quam habet ad humidum in grauita-
te.
Eorum quæ dicta ſunt, ſingula inferius de-
monſtrabuntur.
SIT portio qualis dicta eſt: & ſecta ipſa plano per axẽ.
recto ad ſuperficiem humidi, ſectio ſit a p o l rectanguli co
ni ſeccio:
axis portionis, & ſectionis diameter b d: ſece-
turq;
b d in puncto quidem _k_ ita, ut b k dupla ſitipſius
_k_ d:
in c uero ita, ut b d ad K C proportionẽ habeat ean-
dem, quam quindecim ad quatuor.
conſtat igitur k c ma-
Fiorem eſſe, quàm quæ uſque ad axem.
Sit ei quæ uſque ad
Gaxem æqualis k r:
& ipſius k r ſeſquialtera d s. Eſt autem
H&
s b ſeſquial-
Figure: /permanent/library/4E7V2WGH/figures/0069-01 not scanned
[Figure 43]
tera ipſius b r.
Itaque iũgatur
a b, &
per c du
catur c e per-
pẽdicularis ad
b d, quæ lineã
a b in puncto
e ſecet:
& per
e ducatur e z
æquidiſtãs b d.

Rurſus ipſa a b
bifariã in t di-
uiſa, ducatur t
h eidem b d æ-
quidiſtans:
&
intelligantur rectanguli coni ſectiones deſcriptæ a e i qui-

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