June5] PROCEEDINGS. [1894.last degree : square cubits,cubitsof land, arouras,and " thousands
of cubits,3' are implied by the figures withoutdistinction.
No. 52. A piece of land in the shape of a triangle withtruncated
apexis called <\j>>*K\ *. and the truncation, or the truncatedapexis called <w ^|\. The sumis correct.
No.53. This is full of mistakes, and but little of it is intelligible.
No.53c is a nearly correctcalculation,as Egyptian calculationsgo,
of the triangle of land at the left hand end of the figure. Thebase
of the triangle is *\ khet, and the height(?) or side(?) is 7 khet. Even
herethereare small inaccuraciesof writing whichwouldneveroccur
in a business-document, suchas the omission of en denoting the
arouraoversomeof the numerals referringto that measure.
Theremainderof the figure is quite unintelligible: only 3J in
the central compartmentevidentlyis connected withthe 3^ calcula
tionin a, b. This lattercalculationseemsto be for dividing a field
42 x 3i khet into 10 equal parts. Eachpart is found to be
Ji i, i, Vct arouras. It again is full of mistakes, the most puzzling
being 30 written insteadof 10 0 =10 cubitsof land = yL aroura.
No. 54 repeats thismistake: the problem is to divide 7 arouras
into 10 equal fields: each fieldis ^ ^ aroura + 7^ cubits of land.
No.55. "Divide 3 arouras of land into 5 fields." In putting the
problem,insteadof 5 *|, the scribe has written J, i.e., 1 aroura!
andafterwardshe writes 5 arouras insteadof the plain numeral 5!
There is only oneother section in the papyrus that is so faulty
as this Part II, on Geometry.PartIII. —Proportions of Pyramids andotherMonuments
withSloping Sides.PI. XVIII, Commentar,p. 134 ff.Borchardt has recently transcribed and translated all these
sections,andshowntheirtruebearingin the Zeiischrift f. aeg. Spr..
XXXI, p. 9. The first fourexamplesconcernthe proportions of
pyramids? 5^. ^ trier. The baseis named "vS 7 <K\ J\ fi) °
ukha-thebt, the height ^— ; J\ V\ \J* I cr^i per-em-us, whence
apparentlythe Greek irvpafit?," pyramid" : both of these namesare
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