Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[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.
[91.] THEOREMA XXI. PROPOSITIO XXVI.
[92.] THEOREMA XXII. PROPOSITIO XXVII.
[93.] PROBLEMA VI. PROPOSITIO XX VIII.
[94.] THE OREMA XXIII. PROPOSITIO XXIX.
[95.] THEOREMA XXIIII. PROPOSITIO XXX.
[96.] THEOREMA XXV. PROPOSITIO XXXI.
[97.] FINIS LIBRI DE CENTRO GRAVITATIS SOLIDORVM.
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page |< < (22) of 213 > >|
15522DE CENTRO GRAVIT. SOLID.
Ex demonſtratis perſpicue apparet, portioni
ſphæræ uel ſphæroidis, quæ dimidia maior eſt, cẽ
trum grauitatis in axe conſiſtere.
Data enim
108[Figure 108] qualibet maio
ri portiõe, quo
niã totius ſphæ
ræ, uel ſphæroi
dis grauitatis
centrum eſt in
axe;
eſt autem
&
in axe cen-
trum portio-
nis minoris:
reliquæ portionis uidelicet maioris centrum in axe neceſ-
ſario conſiſtet.
THE OREMA XIII. PROPOSITIO XVII.
Cuiuslibet pyramidis triã
109[Figure 109] gularem baſim habẽtis gra
uitatis centrum eſt in pun-
cto, in quo ipſius axes con-
ueniunt.
Sit pyramis, cuius baſis trian
gulum a b c, axis d e:
ſitq; trian
guli b d c grauitatis centrum f:
& iungatur a f. erit & a faxis eiuſ
dem pyramidis ex tertia diffini-
tione huius.
Itaque quoniam centrum grauitatis eſt in
axe d e;
eſt autem & in axe a f; quod proxime

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