Archimedes' Cattle Problem: Greek Text Bull The Cattle Problem
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Statement (English)
Solution (1st part)
Solution (2nd part)



Statement (Greek)
Computer Output (1st part)
Computer Output (2nd part)


The following Greek text of Archimedes' Cattle Problem was edited by Danish scholar J. L. Heiberg (Johan Ludwig, 1854-1928) from several Greek manuscripts. You can view it in one of the following three formats:

GRAPHIC . . . A screen capture (17 kilobytes, 388 x 807 pixels) of a text version.

TEXT . . . A text version that requires an SMK Greek font such as Athenian, Attika, Kadmos, or Sparta in your system to be viewed properly. You can download the Athenian font for free for Macintosh or Windows systems from a site maintained by the Perseus Project.

GRAPHIC . . . A scanned image (82 kilobytes, 350 x 781 pixels) of Heiberg's Greek text from the following book:
GREEK MATHEMATICAL WORKS
Translated by Ivor Thomas
The Loeb Classical Library
Harvard University Press, Cambridge, MA, 1941
Volume II, Pages 202 & 204

Prñblhma

Ñper ƒArxim®dhw ¤n ¤pigr‹mmasin eêr?n tow ¤n ƒAlejandre?&
per taèta pragmateuom¡noiw zhten Žp¡steilen ¤n t» pròw
'Eratosy¡nhn tòn Kurhnaon ¤pistol .

Plhyçn ƒHel?oio boÇn, Ô jene, m¡trhson
????????????front?dƒ ¤pist®saw, e met¡xeiw sof?hw,
pñssh rƒ ¤n ped?oiw SikelÄw potƒ ¤bñsketo n®sou
????????????Yrinak?hw tetrax» st?fea dassam¡nh
xroi¯n Žll‹ssonta: tò m¢n leukoo g‹laktow,
????????????kuan¡Ù dƒ §teron xrämati lampñmenon,
llo ge m¢n janyñn, tò d¢ poik?lon. ¤n d¢ Ûk‹stÙ
????????????st?fei ¦san taèroi pl®yesi briyñmenoi
summetr?hw toiÄsde teteuxñtew: Žrgñtrixaw m¢n
????????????kuan¡vn taærvn 3Ú4m?sei ±d¢ tr?tÙ
ka janyow sæmpasin y«souw, Ô jene, nñhson,
????????????aétŒr kuan¡ouw t3 tetr‹tÙ te m¡rei
miktoxrñvn ka p¡mptÙ, ¦ti janyos? te psin.
????????????toçw dƒ êpoleipom¡nouw poikilñxrvtaw yrei
ŽrgennÇn taærvn §ktÙ m¡rei Ûbdom‹tÙ te
????????????ka janyow aétoçw psin sazom¡nouw.
yhle?aisi d¢ bous t‹d' ¦pleto: leukñtrixew m¢n
????????????Ésan sump‹shw kuan¡hw Žg¡lhw
t3 trit‹tÙ te m¡rei ka tetr‹tÙ Žtrek¢w Ósai:
????????????aétŒr ku‹neai t3 tetr‹tÙ te p‹lin
miktoxrñvn ka p¡mptÙ zÿmoè m¡rei s‹zonto
????????????sçn taæroiw p‹saiw es nomòn ¤rxom¡naiw.
janyotr?xvn dƒ Žg¡lhw p¡mptÙ m¡rei ±d¢ ka §ktÙ
????????????poik?lai s‹riymon plÄyow ¦xon tetrax».
janya dƒ ±riymeènto m¡rouw tr?tou 3Ú4m?sei Ósai
????????????ŽrgennÄw Žg¡lhw Ûbdom‹tÙ te m¡rei.
jene, sç dƒ, ƒHel?oio bñew pñsai, Žtrek¢w epän,
????????????xvrw m¢n taærvn zatref¡vn Žriymñn,
xvrw dƒ aï, y®leiai Ñsai katŒ xroiŒn §kastai,
????????????oék idriw ke l¡goiƒ oédƒ ŽriymÇn Žda®w,
oé m®n pä ge sofow ¤nar?ymiow. Žllƒ y«yi fr‹zen
????????????ka t‹de p‹nta boÇn ƒHel?oio p‹yh.
Žrgñtrixew taèroi m¢n ¤pe mija?ato plhyçn
????????????kuan¡oiw, ástantƒ ¦mpedon sñmetroi
ew b‹yow ew eïrñw te, tŒ dƒ aï perim®kea p‹nth
????????????p?mplanto pl®youw Yrinak?hw ped?a.
janyo dƒ aïtƒ ew §n ka poik?loi Žyroisy¡ntew
????????????ástantƒ Žmbol‹dhn ¤j Ûnòw Žrxñmenoi
sxÄma teleioèntew tò trikr‹spedon oëte prosñntvn
????????????Žlloxrñvn taærvn oëtƒ ¤pileipom¡nvn.
taèta sunejeur?n ka ¤n prap?dessin Žyro?saw
????????????ka plhy¡vn Žpodoæw, jene, tŒ p‹nta m¡tra
¦rxeo kudiñvn nikhfñrow y«syi te p‹ntvw
???????????kekrim¡now taætª gƒ Ðmpniow ¤n sof?ª.