| version 1.1, 2003/09/26 15:43:59 |
version 1.2, 2004/05/11 18:11:54 |
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| <archimedes xmlns:xlink="http://www.w3.org/1999/xlink"> | <archimedes xmlns:xlink="http://www.w3.org/1999/xlink"> |
| <info> | <info> |
| <author>Pappus Alexandrinus</author> | <author>Pappus Alexandrinus</author> |
| <title>Mathematical Collection, Book 8</title> | <title>Collectio 8 (Greek)</title> |
| <date>1876</date> | <date>1876</date> |
| <place>Berlin</place> | <place>Berlin</place> |
| <translator/> | <translator/> |
| |
| <s id="id.000024">e)a\n ou)=n <lb n="30"/>pa/lin nohqh=| to\ *a*b*g*d e)pi/pedon e)kbeblhme/non, ei)s i)sorro- <lb n="31"/><pb n="1032"/>pou=nta me/rh temei= to\ ba/ros kai\ sumpesei=tai tw=| pro/teron <lb n="1"/>ei)s i)so/rropa te/mnonti to\ au)to\ ba/ros e)pipe/dw|: ei) ga\r mh\ <lb n="2"/>temei=, ta\ au)ta\ me/rh kai\ i)so/rropa kai\ a)niso/rropa genh/­<lb n="3"/>setai a)llh/lois, o(/per a)/topon.<lb n="4"/></s></p><p> | <s id="id.000024">e)a\n ou)=n <lb n="30"/>pa/lin nohqh=| to\ *a*b*g*d e)pi/pedon e)kbeblhme/non, ei)s i)sorro- <lb n="31"/><pb n="1032"/>pou=nta me/rh temei= to\ ba/ros kai\ sumpesei=tai tw=| pro/teron <lb n="1"/>ei)s i)so/rropa te/mnonti to\ au)to\ ba/ros e)pipe/dw|: ei) ga\r mh\ <lb n="2"/>temei=, ta\ au)ta\ me/rh kai\ i)so/rropa kai\ a)niso/rropa genh/­<lb n="3"/>setai a)llh/lois, o(/per a)/topon.<lb n="4"/></s></p><p> |
| <s id="id.000025">b#. </s> | <s id="id.000025">b#. </s> |
| <s id="id.000026">*tou/twn dh\ proeirhme/nwn noei/sqw pa/lin eu)qei=a h( <lb n="5"/>*a*b o)rqh\ pro\s to\ e)f' ou(= bebh/kamen e)pi/pedon, ei)s to\ tou= <lb n="6"/>panto\s ke/ntron dhlono/ti neu/ousa, kai\ to\ ba/ros o(moi/ws e)pi\ <lb n="7"/>tou= *a shmei/ou tiqe/sqw, oi(=on u(poqe/mati th=| *a*b eu)qei/a| <lb n="8"/>xrw/menon [sth/setai dh/pote kata\ tou= *a shmei/ou w(/ste me/­<lb n="9"/>nein, ei)/ ge dh\ kai\ e)pi\ tou= di' au)th=s e)pipe/dou to\ ba/ros <lb n="10"/>h)remei=n e)du/nato]. </s> | <s id="id.000026">*tou/twn dh\ proeirhme/nwn noei/sqw pa/lin eu)qei=a h( <lb n="5"/>*a*b o)rqh\ pro\s to\ e)f' ou(= bebh/kamen e)pi/pedon, ei)s to\ tou= <lb n="6"/>panto\s ke/ntron dhlono/ti neu/ousa, kai\ to\ ba/ros o(moi/ws e)pi\ <lb n="7"/>tou= *a shmei/ou tiqe/sqw, oi(=on u(poqe/mati th=| *a*b eu)qei/a| <lb n="8"/>xrw/menon [sth/setai dh/pote kata\ tou= *a shmei/ou w(/ste me/­<lb n="9"/>nein, ei)/ ge dh\ kai\ e)pi\ tou= di' au)th=s e)pipe/dou to\ ba/ros <lb n="10"/>h)remei=n e)du/nato]. </s> |
| <s id="id.000027">e)a\n dh\ me/nontos au)tou= e)kblhqh=| h( *a*b <lb n="11"/>eu)qei=a, e)napolhfqh/setai/ ti me/ros au)th=s. </s> | <s id="id.000027">e)a\n dh\ me/nontos au)tou= e)kblhqh=| h( *a*b <lb n="11"/>eu)qei=a, e)napolhfqh/setai/ ti me/ros au)th=s e)n tw=| u(pokei­<lb n="12"/>me/nw| sxh/mati. </s> |
| <s id="id.000028">e)n tw=| u(pokei­<lb n="12"/>me/nw| sxh/mati. </s> | |
| <s id="id.000029">noei/sqw dh\ tou=to me/non, kai\ pa/lin kaq' <lb n="13"/>e(/teron me/ros e)pikei/sqw th=| eu)qei/a| to\ ba/ros w(/ste h)remei=n: <lb n="14"/>le/gw dh\ o(/ti e)kblhqei=sa h( *a*b eu)qei=a sumpesei=tai th=| pro/­<lb n="15"/>teron e)napeilhmme/nh|. </s> | <s id="id.000029">noei/sqw dh\ tou=to me/non, kai\ pa/lin kaq' <lb n="13"/>e(/teron me/ros e)pikei/sqw th=| eu)qei/a| to\ ba/ros w(/ste h)remei=n: <lb n="14"/>le/gw dh\ o(/ti e)kblhqei=sa h( *a*b eu)qei=a sumpesei=tai th=| pro/­<lb n="15"/>teron e)napeilhmme/nh|. </s> |
| <s id="id.000030">ei) ga\r mh\ sumpesei=tai, dunh/setai/ <lb n="16"/>tina di' a)mfote/rwn au)tw=n e)kblhqe/nta e)pi/peda mh\ sum­<lb n="17"/>pesei=n a)llh/lois e)nto\s tou= sxh/matos, kai\ e(ka/teron au)tw=n <lb n="18"/>[e)farmozo/menon tw=| dia\ th=s *a*b e)pipe/dw|] dielei=n to\ ba/ros <lb n="19"/>ei)s i)so/rropa kai\ a)niso/rropa ta\ au)ta\ me/rh, o(/per a)/topon: <lb n="20"/>sumpesou=ntai a)/ra ai( ei)rhme/nai eu)qei=ai e)nto\s tou= sxh/ma­<lb n="21"/>tos. </s> | <s id="id.000030">ei) ga\r mh\ sumpesei=tai, dunh/setai/ <lb n="16"/>tina di' a)mfote/rwn au)tw=n e)kblhqe/nta e)pi/peda mh\ sum­<lb n="17"/>pesei=n a)llh/lois e)nto\s tou= sxh/matos, kai\ e(ka/teron au)tw=n <lb n="18"/>[e)farmozo/menon tw=| dia\ th=s *a*b e)pipe/dw|] dielei=n to\ ba/ros <lb n="19"/>ei)s i)so/rropa kai\ a)niso/rropa ta\ au)ta\ me/rh, o(/per a)/topon: <lb n="20"/>sumpesou=ntai a)/ra ai( ei)rhme/nai eu)qei=ai e)nto\s tou= sxh/ma­<lb n="21"/>tos. </s> |
| <s id="id.000031">o(moi/ws de\ ka)\n kat' a)/llas qe/seis tiqh=tai to\ ba/ros <lb n="22"/>e)pi\ tou= *a shmei/ou w(/ste me/nein, e)kblhqei=sa h( *a*b sumpe­<lb n="23"/>sei=tai tai=s pro/teron e)napeilhmme/nais [o(moi/ws] eu)qei/ais. <lb n="24"/></s> | <s id="id.000031">o(moi/ws de\ ka)\n kat' a)/llas qe/seis tiqh=tai to\ ba/ros <lb n="22"/>e)pi\ tou= *a shmei/ou w(/ste me/nein, e)kblhqei=sa h( *a*b sumpe­<lb n="23"/>sei=tai tai=s pro/teron e)napeilhmme/nais [o(moi/ws] eu)qei/ais. <lb n="24"/></s> |