| version 1.5, 2004/04/12 22:17:18 |
version 1.6, 2004/04/13 20:55:09 |
| |
| <archimedes> | <archimedes> |
| <info> | <info> |
| <author>Pappus Alexandrinus</author> | <author>Pappus Alexandrinus</author> |
| <title>Mathematical Collection, Book 8</title> | <title>Collectio 8 (Arabic)</title> |
| <date>1970</date> | <date>1970</date> |
| <place>Cambridge</place> | <place>Cambridge</place> |
| <translator/> | <translator/> |
| |
| <text> | <text> |
| <front/><body> | <front/><body> |
| <chap><p></p></chap> | <chap><p></p></chap> |
| <chap n="1"><p><s id="id.1.0.01.01"> <n~ Elm AlHyl yA bny ArmwdwrA lmA kAn nAfEA fY >mwr kvyrp jlylp mn >mwr AlnAs SAr HqyqtA ElY AlflAsfp >n ygnwA bh w>n yHrS Elyh jmyE mn nZr fY AlElwm AltElymyp. </s><s id="id.1.0.01.02">w*lk >n~ h*A AlElm ykAd >n ykwn Aw~l Elm y$~Am mErfp TbE hywlY mA fy AlEAlm. </s><s id="id.1.0.01.03">l>n~ >mr vbAt Al>jsAm wfsAdhA wHrkAthA lmA kAn dAxlA fy AlmEAnY Alklyp mnh SAr h*A AlElm mbyn~A llEll mA kAn mnhA ElY AlHAl AlTbyEp wmDTr~A lbEDhA AlY Alxrwj En mwADEhA AlTbyEp AlxASp lhA wnAqlA lhA AlY AlHrkAt Dd HrkAthA bAlHyl AlY fy h*A AlElm <lY ySl AlyhA bAlmEAnY Alm>xw*p mn Alnfs AlhywlY. </s></p> | <chap n="1"><p><s id="id.1.0.01.01"> <n~ Elm AlHyl yA bny ArmwdwrA lmA kAn nAfEA fY >mwr kvyrp jlylp mn >mwr AlnAs SAr HqyqtA ElY AlflAsfp >n ygnwA bh w>n yHrS Elyh jmyE mn nZr fY AlElwm AltElymyp. </s><s id="id.1.0.01.02">w*lk >n~ h*A AlElm ykAd >n ykwn Aw~l Elm y$~Am mErfp TbE hywlY mA fy AlEAlm. </s><s id="id.1.0.01.03">l>n~ >mr vbAt Al>jsAm wfsAdhA wHrkAthA lmA kAn dAxlA fy AlmEAnY Alklyp mnh SAr h*A AlElm mbyn~A llEll mA kAn mnhA ElY AlHAl AlTbyEp wmDTr~A lbEDhA AlY Alxrwj En mwADEhA AlTbyEp AlxASp lhA wnAqlA lhA AlY AlHrkAt Dd HrkAthA bAlHyl AlY fy h*A AlElm <lY ySl AlyhA bAlmEAnY Alm>xw*p mn Alnfs AlhywlY. </s></p> |
| <p><s id="id.1.0.02.01">wqd qAl qwm mn >SHAb Ayrn Al*yn nZrwA fy Elm AlHyl >n~ bED SnAEp AlHyl qyAsY wbEDhA mm~A yEml bAlyd w>n~ Aljz' AlqyAsY mnhA yElm mn Alhndsp wElm AlEdd wElm Alnjwm wmn AlqyAsAt AlTbyEp w>n~ Aljz' Al*Y hw Eml bAlyd ysE wykwn bSnAEp AlHd~Adyn wAlSf~Aryn wAlbn~Anyn wAlnj~Aryn wAlmSw~ryn wH*qhm b>EmAlhm wlTAfthm fyhA </s></p> | <p><s id="id.1.0.02.01">wqd qAl qwm mn >SHAb Ayrn Al*yn nZrwA fy Elm AlHyl >n~ bED SnAEp AlHyl qyAsY wbEDhA mm~A yEml bAlyd w>n~ Aljz' AlqyAsY mnhA yElm mn Alhndsp wElm AlEdd wElm Alnjwm wmn AlqyAsAt AlTbyEp w>n~ Aljz' Al*Y hw Eml bAlyd ysE wykwn bSnAEp AlHd~Adyn wAlSf~Aryn wAlbn~Anyn wAlnj~Aryn wAlmSw~ryn wH*qhm b>EmAlhm wlTAfthm fyhA </s></p> |
| <p><s id="id.1.0.03.01">f>m~A mn kAn qd nZr fy AlElwm Al~ty qdmnA *krhA mn* SbA}h wkAn qd H*q Elm AlSnA}E Al~tY qlnA wkAn lh mE *lk fy TbyEyp Hrkp jy~dp w*kA'. fAn~hm qAlwA >n~h ykwn qwyA fy AstnbAT AlHyl w>n~hm ysm~wnh r}ys Al>EmAl. </s><s id="id.1.0.03.02">w>m~A mn lm yqdr ElY jmE h*h AlElwm Alkvyrp AlEdd wAlSnA}E Al~tY *krnA f>n~hm y>mrwnh A*A >rAd >n yEml EmlA mn Al>EmAl AlHyl b>n yElm AlSnAEp AltY yHtAj AlyhA fy *lk AlEml AltY hY xASp lh. </s></p></chap> | <p><s id="id.1.0.03.01">f>m~A mn kAn qd nZr fy AlElwm Al~ty qdmnA *krhA mn* SbA}h wkAn qd H*q Elm AlSnA}E Al~tY qlnA wkAn lh mE *lk fy TbyEyp Hrkp jy~dp w*kA'. fAn~hm qAlwA >n~h ykwn qwyA fy AstnbAT AlHyl w>n~hm ysm~wnh r}ys Al>EmAl. </s><s id="id.1.0.03.02">w>m~A mn lm yqdr ElY jmE h*h AlElwm Alkvyrp AlEdd wAlSnA}E Al~tY *krnA f>n~hm y>mrwnh A*A >rAd >n yEml EmlA mn Al>EmAl AlHyl b>n yElm AlSnAEp AltY yHtAj AlyhA fy *lk AlEml AltY hY xASp lh. </s></p></chap> |
| <chap n="2"><p><s id="id.2.0.01.01">w>m~A mn lm yqdr ElY jmE h*h AlElwm Alkvyrp AlEdd wAlSnA}E Al~tY *krnA f>n~hm y>mrwnh A*A >rAd >n yEml EmlA mn Al>EmAl AlHyl b>n yElm AlSnAEp AltY yHtAj AlyhA fy *lk AlEml AltY hY xASp lh. </s><s id="id.2.0.01.02">whY Al~tY kAn AlqdmA' ysm~wnhA >yDA SnAEp AlHyl w*lk >n~ >SHAb h*h AlSnAEp yrfEwn Alvql AlEZym bHylhm AlY AlmwDE AlmrtfE ElY xlAf Hrkp AlTbyEyp bAl$y' Alysyr mn Alqw~p. </s><s id="id.2.0.01.03">wAlSnAEp >yDA Al~ty yEml Al|lAt AltY yHtAj AlyhA fy AlHrb HAjp Drwrp w qd ysm~y ASHAbhA |yDA >SHAb Hyl. </s><s id="id.2.0.01.04">w *lk >n~hA yEmlwn mn Al|lAt Al~ty ysm~Y bAlywnAnyp qATAblTyqw mA yrmY fyh bAlshAm wAlHjArp wAlHdyd wmA >$bh *lk. fy*hb Al$y' AlmrmY msAfp bEydp w mE hAtyn AlSnAEtyn AlSnAEp AltY xS~hA AlywnAnywn bAsm SnAEp AlHyl. w*lk >n~ >hlhA yrfEwn AlmA' mn AlmwDE Alkvyr AlEmq b>hwn AlsEY bAl|lAt Algr~Afp Al~tY yEmlwnhA. </s></p> | <chap n="2"><p><s id="id.2.0.01.01">w>m~A mn lm yqdr ElY jmE h*h AlElwm Alkvyrp AlEdd wAlSnA}E Al~tY *krnA f>n~hm y>mrwnh A*A >rAd >n yEml EmlA mn Al>EmAl AlHyl b>n yElm AlSnAEp AltY yHtAj AlyhA fy *lk AlEml AltY hY xASp lh. </s><s id="id.2.0.01.02">whY Al~tY kAn AlqdmA' ysm~wnhA >yDA SnAEp AlHyl w*lk >n~ >SHAb h*h AlSnAEp yrfEwn Alvql AlEZym bHylhm AlY AlmwDE AlmrtfE ElY xlAf Hrkp AlTbyEyp bAl$y' Alysyr mn Alqw~p. </s><s id="id.2.0.01.03">wAlSnAEp >yDA Al~ty yEml Al|lAt AltY yHtAj AlyhA fy AlHrb HAjp Drwrp w qd ysm~y ASHAbhA |yDA >SHAb Hyl. </s><s id="id.2.0.01.04">w *lk >n~hA yEmlwn mn Al|lAt Al~ty ysm~Y bAlywnAnyp qATAblTyqw mA yrmY fyh bAlshAm wAlHjArp wAlHdyd wmA >$bh *lk. fy*hb Al$y' AlmrmY msAfp bEydp w mE hAtyn AlSnAEtyn AlSnAEp AltY xS~hA AlywnAnywn bAsm SnAEp AlHyl. w*lk >n~ >hlhA yrfEwn AlmA' mn AlmwDE Alkvyr AlEmq b>hwn AlsEY bAl|lAt Algr~Afp Al~tY yEmlwnhA. </s></p> |
| <p><s id="id.2.0.02.01">wqd ysm~Y AlqdmA' >yDA bAsm >SHAb AlHyl Al~*yn yEmlwn. AlEjA}b AltY bHbAl fY bEDhA bAlryH mvl mA fEl Ayrn fY Hylp Al~ty ysm~yhA AlryHyp wfY bEDhA bAlESb wAlHbAl HtY yshwA HrkAthA bHrkp AlHywAn Almnf~s mvl Al*Y fEl Ayrn fy qwlh fY AlHrkAt AlkA}np <pb n="4"/>s2 mn *AthA w fy AlmwAzyn </s><s id="id.2.0.02.02">wmvl Al~*Y fEl >r$myds fY qwlh fY Al>$yA' Al~ty tTfw ElY AlmA' w mvl sAEAt AlmA' mvl qwl Ayrn fy Al>$yA' AlmA}yp. </s></p> | <p><s id="id.2.0.02.01">wqd ysm~Y AlqdmA' >yDA bAsm >SHAb AlHyl Al~*yn yEmlwn. AlEjA}b AltY bHbAl fY bEDhA bAlryH mvl mA fEl Ayrn fY Hylp Al~ty ysm~yhA AlryHyp wfY bEDhA bAlESb wAlHbAl HtY yshwA HrkAthA bHrkp AlHywAn Almnf~s mvl Al*Y fEl Ayrn fy qwlh fY AlHrkAt AlkA}np <pb n="4"/>s2 mn *AthA w fy AlmwAzyn </s><s id="id.2.0.02.02">wmvl Al~*Y fEl >r$myds fY qwlh fY Al>$yA' Al~ty tTfw ElY AlmA' w mvl sAEAt AlmA' mvl qwl Ayrn fy Al>$yA' AlmA}yp. </s></p> |
| <p><s id="id.2.0.03.01">whw b~yn >n~ h*A AlSnf mn AlElm y$Ark Elm mqAbys AlZl~ </s><s id="id.2.0.03.02">wqd ydxl fY AlHyl mA yEml mn Al>EmAl Alkryp Al~tY y$bhwnhA bSwrp AlsmA' wyHr~kwnhA Hrkp mstwyp mstdyrp mvl HrkthA bAlmA' </s></p></chap> | <p><s id="id.2.0.03.01">whw b~yn >n~ h*A AlSnf mn AlElm y$Ark Elm mqAbys AlZl~ </s><s id="id.2.0.03.02">wqd ydxl fY AlHyl mA yEml mn Al>EmAl Alkryp Al~tY y$bhwnhA bSwrp AlsmA' wyHr~kwnhA Hrkp mstwyp mstdyrp mvl HrkthA bAlmA' </s></p></chap> |
| <chap n="3"><p><s id="id.3.0.01.01">wqd *kr bED AlnAs >n~ Al*Y Elm Ell h*h Al>$yA' kl~hA wqyAsAthA kAn Ar$myds Al~*Y mn >hl blAd swrAqwsA. </s><s id="id.3.0.01.02">f<n h*A Alrjl wHdh mm~n kAn fy EAlmnA h*A kAn lh TbE kvyr Altfn~n ynSr f fy jmyE Al>$yA'. wfkr kvyrp kmA *kr jAmynws AltElymY fY ktAbh Al~*Y wDEh fY trtyb AltEAlym. </s><s id="id.3.0.01.03">f>m~A qrbs Al>nTAkY fqd zEm fY bED >qAwylh >n Ar$myds AlswrAqwsY <nm~A wDE fY AlHyl ktAbA wAHdA whw ktAbh fY Al>kr. w>m~A fY gyr h*A Alfn~ f<n~h lm yr >n yDE $y}A </s><s id="id.3.0.01.04">ElY >n~ AlqdmA' qd $rfwh fY Elm AlHyl wkAnt TbyEp Endhm Ejybp HtY >n~ *krh wmdyHh AlmfrT bAqY End jmyE AlnAs. </s><s id="id.3.0.01.05">f>m~A Al>$yA' Al~tY yglb ElyhA AlmEAnY Alhndsyp wAlEddyp fAn~h kAn mjthdA fY wDEhA HtY AlHsbp mnhA jdA </s><s id="id.3.0.01.06">k>n~h kAn fymA yZhr lnA qd >Hb~ h*h AlElwm Alty *kr Hb~A lm ykn yTbq mEh >n yxlT bhA $y}A |xr swAhA. </s></p> | <chap n="3"><p><s id="id.3.0.01.01">wqd *kr bED AlnAs >n~ Al*Y Elm Ell h*h Al>$yA' kl~hA wqyAsAthA kAn Ar$myds Al~*Y mn >hl blAd swrAqwsA. </s><s id="id.3.0.01.02">f<n h*A Alrjl wHdh mm~n kAn fy EAlmnA h*A kAn lh TbE kvyr Altfn~n ynSr f fy jmyE Al>$yA'. wfkr kvyrp kmA *kr jAmynws AltElymY fY ktAbh Al~*Y wDEh fY trtyb AltEAlym. </s><s id="id.3.0.01.03">f>m~A qrbs Al>nTAkY fqd zEm fY bED >qAwylh >n Ar$myds AlswrAqwsY <nm~A wDE fY AlHyl ktAbA wAHdA whw ktAbh fY Al>kr. w>m~A fY gyr h*A Alfn~ f<n~h lm yr >n yDE $y}A </s><s id="id.3.0.01.04">ElY >n~ AlqdmA' qd $rfwh fY Elm AlHyl wkAnt TbyEp Endhm Ejybp HtY >n~ *krh wmdyHh AlmfrT bAqY End jmyE AlnAs. </s><s id="id.3.0.01.05">f>m~A Al>$yA' Al~tY yglb ElyhA AlmEAnY Alhndsyp wAlEddyp fAn~h kAn mjthdA fY wDEhA HtY AlHsbp mnhA jdA </s><s id="id.3.0.01.06">k>n~h kAn fymA yZhr lnA qd >Hb~ h*h AlElwm Alty *kr Hb~A lm ykn yTbq mEh >n yxlT bhA $y}A |xr swAhA. </s></p> |
| <p><s id="id.3.0.02.01">wqrbs h*A wgyrh mn AlnAs qd AstEml Alhndsp fY <pb n="6"/>s3 bED AlSnA}E AstEmAlA ElY mA ynbgY </s><s id="id.3.0.02.02">w*lk >n~h Amr nAfE >n nstEml Alhndsp fyp Al>jrAm AldAxlp fY SnA}E kvyrp lm$ArkthA lhA. l>n~hA lmA kAnt bmnzlp AlwAld ljmyE AlSnA}E nfE AstEmAlhA fY AlSnA}E Al~tY tEml Al|lAt wfy SnAEp r}Asp Al>EmAl. </s><s id="id.3.0.02.03">w*lk >n~hA A*A kAnt m$Arkp lElm mqAyys AlZl~. wElm AlHyl wSwr AlmsAkn nfE AstEmAlhA fyhA </s></p> | <p><s id="id.3.0.02.01">wqrbs h*A wgyrh mn AlnAs qd AstEml Alhndsp fY <pb n="6"/>s3 bED AlSnA}E AstEmAlA ElY mA ynbgY </s><s id="id.3.0.02.02">w*lk >n~h Amr nAfE >n nstEml Alhndsp fyp Al>jrAm AldAxlp fY SnA}E kvyrp lm$ArkthA lhA. l>n~hA lmA kAnt bmnzlp AlwAld ljmyE AlSnA}E nfE AstEmAlhA fY AlSnA}E Al~tY tEml Al|lAt wfy SnAEp r}Asp Al>EmAl. </s><s id="id.3.0.02.03">w*lk >n~hA A*A kAnt m$Arkp lElm mqAyys AlZl~. wElm AlHyl wSwr AlmsAkn nfE AstEmAlhA fyhA </s></p> |
| <p><s id="id.3.0.03.01">hw mn Alby~n >n~hA mtqd~mp ljmyEhA wbhA mtzyn. </s></p></chap> | <p><s id="id.3.0.03.01">hw mn Alby~n >n~hA mtqd~mp ljmyEhA wbhA mtzyn. </s></p></chap> |
| <chap n="4"><p><s id="id.4.0.01.01"><pb n="7"/>s4 flmA kAn Elm AlHyl wSnAEp AlHyl ElY h*A AlHAl w kAnt mnqsmpAlY h*h Al>jzA' r>yt >n~h ynbgy >n >DE Al>$yA' Al~ty yHtAj Aly qyAs hndsy mn >mr Hrkp Al>$yA' Alvqylp Al~ty *krhA AlqdmA' fy ktbhm wAlmEAny Al~ty wjdnAhA nHn bshwlp w>n njEl Alqwl fy *lk >$d AxtSArA w>byn w>Hsn mm~A qAlh mn kAn qblnA fy *lk. </s><s id="id.4.0.01.02">mvl >n ykwn lnA vql mfrwD ytHr~k bqw~p mfrwDp ElY sTH mwAzy ll>fq wykwn lnA sTH mA}l En h*h AlsTH bmyl zAwyp mfrwDp fnryd >n njd mqdAr Alqw~p Al~ty tHr~k Alvql AlmfrwD fy AlsTH AlmA}l. </s><s id="id.4.0.01.03">w*lk $y' yHtAj Alyh Alqwm Al*yn yqAl lh AlmnjAnArywA mn >SHAb AlHyl w*lk >n~hm A*A zAdwA ElY mA yjdwnh why Alqw~p AlmfrwDp qw~p >xrY mn AlrjAl w vqwA yrfE *lk Alvql. </s><s id="id.4.0.01.04">w mvl xT~yn mstqymyn mfrwDyyn gyr mtsAwyyn >rdnA >n njd bynhmA xT~yn Ht~Y ytwAly mtnAsbp. </s><s id="id.4.0.01.05">wh*A AlmEny ymk~nA >n nzyd ElY kl |lp mfrwDp mn |l|t Alrmy wElY kl $kl $y}A lh Alyh nsbp mvl <pb n="8"/>s4 Alnsbp AlmfrwDp w>n nnqS mnhA mvl *lk wymknA bh. </s></p> | <chap n="4"><p><s id="id.4.0.01.01"><pb n="7"/>s4 flmA kAn Elm AlHyl wSnAEp AlHyl ElY h*A AlHAl w kAnt mnqsmpAlY h*h Al>jzA' r>yt >n~h ynbgy >n >DE Al>$yA' Al~ty yHtAj Aly qyAs hndsy mn >mr Hrkp Al>$yA' Alvqylp Al~ty *krhA AlqdmA' fy ktbhm wAlmEAny Al~ty wjdnAhA nHn bshwlp w>n njEl Alqwl fy *lk >$d AxtSArA w>byn w>Hsn mm~A qAlh mn kAn qblnA fy *lk. </s><s id="id.4.0.01.02">mvl >n ykwn lnA vql mfrwD ytHr~k bqw~p mfrwDp ElY sTH mwAzy ll>fq wykwn lnA sTH mA}l En h*h AlsTH bmyl zAwyp mfrwDp fnryd >n njd mqdAr Alqw~p Al~ty tHr~k Alvql AlmfrwD fy AlsTH AlmA}l. </s><s id="id.4.0.01.03">w*lk $y' yHtAj Alyh Alqwm Al*yn yqAl lh AlmnjAnArywA mn >SHAb AlHyl w*lk >n~hm A*A zAdwA ElY mA yjdwnh why Alqw~p AlmfrwDp qw~p >xrY mn AlrjAl w vqwA yrfE *lk Alvql. </s><s id="id.4.0.01.04">w mvl xT~yn mstqymyn mfrwDyyn gyr mtsAwyyn >rdnA >n njd bynhmA xT~yn Ht~Y ytwAly mtnAsbp. </s><s id="id.4.0.01.05">wh*A AlmEny ymk~nA >n nzyd ElY kl |lp mfrwDp mn |l|t Alrmy wElY kl $kl $y}A lh Alyh nsbp mvl <pb n="8"/>s4 Alnsbp AlmfrwDp w>n nnqS mnhA mvl *lk wymknA bh. </s></p> |
| <p><s id="id.4.0.02.01">A*A kAn $y' ElY $kl Albkrp mfrwDA w kAn Edd SfA}Hh mfrwDA >w Edd dndAnjAnh w>rdnA >n nDE AlyhA bkrp ykwn Edd dndAnjAnhA mfrwDA >n nElm km qTr Albkrp AlmSmwmp w*lk $y' nAfE fy >mwr kvyrp mn SnAEp >SHAb AlHyl lHAl mn AqtrAn SfA}H Albkr. </s><s id="id.4.0.02.02">wsnbyn mnfEp *lk fy mwDEp mn >$yA' >xr nAfEp hy mn Elm r}ys Al>EmAl wmn Elm SAHb AlHyl mn bEd >n nxbr >w~lA bAl>$yA' Al~ty yHyT bElm mrkz Alvql </s></p></chap> | <p><s id="id.4.0.02.01">A*A kAn $y' ElY $kl Albkrp mfrwDA w kAn Edd SfA}Hh mfrwDA >w Edd dndAnjAnh w>rdnA >n nDE AlyhA bkrp ykwn Edd dndAnjAnhA mfrwDA >n nElm km qTr Albkrp AlmSmwmp w*lk $y' nAfE fy >mwr kvyrp mn SnAEp >SHAb AlHyl lHAl mn AqtrAn SfA}H Albkr. </s><s id="id.4.0.02.02">wsnbyn mnfEp *lk fy mwDEp mn >$yA' >xr nAfEp hy mn Elm r}ys Al>EmAl wmn Elm SAHb AlHyl mn bEd >n nxbr >w~lA bAl>$yA' Al~ty yHyT bElm mrkz Alvql </s></p></chap> |
![[BACK]](http://archimedes.mpiwg-berlin.mpg.de/arch/img/icons/back.gif){kind=icon}
Return to pappu_coll8_098_ar_1970.xml
CVS log ![[TXT]](http://archimedes.mpiwg-berlin.mpg.de/arch/img/icons/text.gif){kind=icon}
![[DIR]](http://archimedes.mpiwg-berlin.mpg.de/arch/img/icons/dir.gif){kind=icon}
Up to [CVSROOT] / texts / archimedes / xml