<s id="s.000455"><margin.target id="marg48"/>per 2. pe<lb/>
titionem</s> 

 <s id="s.000456"><margin.target id="marg49"/>4 Archi<lb/>
medis.</s> 

 <s id="s.000457">Ex demon&longs;tratis per&longs;picue apparet, portioni <lb/>
&longs;phæræ uel &longs;phæroidis, quæ dimidia maior e&longs;t, <expan abbr="c&etilde;">cen</expan><lb/>
trum grauitatis in axe con&longs;i&longs;tere.</s> 

<figure id="id.023.01.051.1.jpg" xlink:href="comma_centr_023_la_1565/023-01-figures/023.01.051.1.jpg"/> <s id="s.000458">Data enim <lb/>
qualibet maio<lb/>
ri <expan abbr="portiõe">portione</expan>, quo <lb/>
<expan abbr="niã">niam</expan> totius &longs;phæ<lb/>
ræ, uel &longs;phæroi<lb/>
dis grauitatis <lb/>
centrum e&longs;t in <lb/>
axe; e&longs;t autem <lb/>
& in axe cen<lb/>
trum portio<lb/>
nis minoris: <lb/>
reliquæ portionis uidelicet maioris centrum in axe nece&longs;<lb/>
&longs;ario con&longs;i&longs;tet.</s> 

 <s id="s.000459">THEOREMA XIII. PROPOSITIO XVII.</s> 

<figure id="id.023.01.051.2.jpg" xlink:href="comma_centr_023_la_1565/023-01-figures/023.01.051.2.jpg"/> <s id="s.000460">Cuiuslibet pyramidis <expan abbr="triãgularem">trian<lb/>
gularem</expan> ba&longs;im <expan abbr="hab&etilde;tis">habentis</expan> gra<lb/>
uitatis centrum e&longs;t in pun<lb/>
cto, in quo ip&longs;ius axes con<lb/>
ueniunt.</s> 

 <s id="s.000461">Sit pyramis, cuius ba&longs;is trian<lb/>
gulum abc, axis de: <expan abbr="&longs;itq;">&longs;itque</expan> trian<lb/>
guli bdc grauitatis centrum f: <lb/>
& iungatur a &longs;. </s> <s id="s.000462">erit & af axis eiu&longs;<lb/>
dem pyramidis ex tertia diffini<lb/>
tione huius. </s> <s id="s.000463">Itaque quoniam centrum grauitatis e&longs;t in <lb/>
axe de; e&longs;t autem & in axe af; &qgrave;uod proxime demon&longs;traui