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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page |< < (41) of 213 > >|
DE IIS QVAE VEH. IN AQVA.
ſtrabitur portionem, quæ ad humidum in grauitate eandẽ
proportionem habeat, quàm quadratum p f ad quadratũ
b d in humidum demiſſam, ita ut baſis ipſius nõ cõtingat
humidum, inclinatam conſiſtere adeo, ut baſis in uno pun
cto humidi ſuperficiem contingat.
& axis cum ipſa faciat
angulum angulo φ æqualem.

COMMENTARIVS.

_Hoc eſt quadratum t p ad quadratum b d. ]_ Ex uigeſima
Aſexta libri Archimedis de conoidibus, &
ſphæroidibus. ergo ex no
na quinti erit quadratum t p æquale quadrato x o:
& propterea li
nea t p lineæ x o æqualis.
_Et portiones ipſæ æquales erunt. ]_ Ex uigeſimaquinta eiuſ-
Bdem libri.
Rurſus
C
Figure: /permanent/library/4E7V2WGH/figures/0093-01 not scanned
[Figure 56]
quoniam
in portio
nibus æ-
qualibus,
&
ſimili-
bus a o q
l, a p m l.
]
_In portio-_
_ne enim a p_
_m l deſcri-_
_batur por-_
_tio a o q æ-_
_qualis por_
_tioni i p m_,
_cadet pun-_
_ctum q in-_
_fram, alio-_
_qui totum parti eſſet æquale.
Ducatur deinde i u æquidiſtans a q_,

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