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Le téléchargement nécessite un accès à la bibliothèque YouScribe Tout savoir sur nos offres
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Le téléchargement nécessite un accès à la bibliothèque YouScribe Tout savoir sur nos offres
The Rhind Papyrus
Mathematics 15: Lecture 2
Dan Sloughter
Furman University
September 13, 2006
Dan Sloughter (Furman University) The Rhind Papyrus September 13, 2006 1 / 14I Unclear how much is a copy of earlier text (as Ahmes himself claims),
and how much is due to Ahmes
I Scholarly work? Manual? Lesson book?
Rhind papyrus
I Written by a scribe, Ahmes, around 1700 B.C.
Dan Sloughter (Furman University) The Rhind Papyrus September 13, 2006 2 / 14I Scholarly work? Manual? Lesson book?
Rhind papyrus
I Written by a scribe, Ahmes, around 1700 B.C.
I Unclear how much is a copy of earlier text (as Ahmes himself claims),
and how much is due to Ahmes
Dan Sloughter (Furman University) The Rhind Papyrus September 13, 2006 2 / 14Rhind papyrus
I Written by a scribe, Ahmes, around 1700 B.C.
I Unclear how much is a copy of earlier text (as Ahmes himself claims),
and how much is due to Ahmes
I Scholarly work? Manual? Lesson book?
Dan Sloughter (Furman University) The Rhind Papyrus September 13, 2006 2 / 14Part of the Rhind papyrus
Dan Sloughter (Furman University) The Rhind Papyrus September 13, 2006 3 / 14I Note: this follows from
45×53 = (1+4+8+32)×53 = 1×53+4×53+8×53+32×53.
Example: multiplication
I Ahmes would compute 45×53 = 2385 as follows:
\ 1 53
2 106
\ 4 212
\ 8 424
16 848
\ 32 1696
Total 45 2385
Dan Sloughter (Furman University) The Rhind Papyrus September 13, 2006 4 / 14Example: multiplication
I Ahmes would compute 45×53 = 2385 as follows:
\ 1 53
2 106
\ 4 212
\ 8 424
16 848
\ 32 1696
Total 45 2385
I Note: this follows from
45×53 = (1+4+8+32)×53 = 1×53+4×53+8×53+32×53.
Dan Sloughter (Furman University) The Rhind Papyrus September 13, 2006 4 / 14Example: division
I Ahmes would compute 437÷23 = 19 as follows:
\ 1 23
\ 2 46
4 92
8 184
\ 16 368
Total 19 437
Dan Sloughter (Furman University) The Rhind Papyrus September 13, 2006 5 / 14I But: Egyptians insisted on fractions with unit numerator (except for
2).
3
Example: division with remainder
3I Ahmes would compute 440÷23 = 19 as follows:
23
\ 1 23
\ 2 46
4 92
8 184
\ 16 368
Total 19 437
Dan Sloughter (Furman University) The Rhind Papyrus September 13, 2006 6 / 14Example: division with remainder
3I Ahmes would compute 440÷23 = 19 as follows:
23
\ 1 23
\ 2 46
4 92
8 184
\ 16 368
Total 19 437
I But: Egyptians insisted on fractions with unit numerator (except for
2).
3
Dan Sloughter (Furman University) The Rhind Papyrus September 13, 2006 6 / 14