Editions and translations of medieval Arabic texts by J.P.Hogendijk:
- Euclid, On Divisions (lost in Greek),
ed. and trans. of Arabic text in
" The Arabic version of Euclid's On Division (1994) ".
- pseudo-Archimedes, kitAb `amal al-dA'irat al-maqsUma bi-sab`at aqsAm
mutasAwiya (Book on the division of the circle into seven equal parts),
prop. 17 and 18 in "Greek and Arabic constructions of the heptagon"
(1984).
- Ahmad ibn Shakir ibn Musa (Baghdad, 9th century), qawl fi tathlIth al-zAwiya al-mustaqIma
al-kha.t.tayn (treatise on the trisection of the rectilinear angle),
in "How trisections.. " (1980).
- Nu`aim ibn Muhammad ibn Musa (Baghdad? late 9th century?)
masA'il hansasiyya (Geometrical problems) in
"The geometrical problems " (2003).
- Al-Nayrizi (Iraq, ca. 900)
- risala li-fa.dl ibn .hAtim
al-nayrIzI fi samt al-qibla (Letter by Fadl ibn Hatim al-Nayrizi
on the azimuth of the qibla) in:
" Al-Nayrizi's Mysterious Determination of the
Azimuth of the Qibla at Baghdad," (2000).
- risala li-fa.dl ibn .hAtim
al-nayrIzI fi bayAn al-mu.sAdara al-mashhUra li-uqlIdis
(Letter by Fadl ibn Hatim al-Nayrizi
on the Proof of the Famous Postulate of Euclid) in:
" Al-Nayrizi's Own Proof of Euclid's
Parallel Postulate, " (2000).
- Ibrahim ibn Sinan (Iraq? 909-946):
- kitAb fi AlAt al-a.zlAl (On Shadow Instruments), in:
Die Schrift des Ibrahim b. Sinan b. Tabit
über die Schatteninstrumente. Übersetzt und erläutert
von Paul Luckey (Phil. Diss. Tübingen, 1941), (Arabische Texte)
herausgegeben
von Jan P. Hogendijk.
- al-masA'il al-mukh.tAra
(selected problems), translation of prop. 12 in
" Rearranging the ... manuscript ...Bankipore 2468" (1982), pp. 155-156;
trans. of props. 7-8 in "Arabic traces of lost works of
Apollonius" (1986), pp. 238-243.
- Abu Sahl al-Kuhi (Iran, 10th c.), risAla fi `amal mukhammas mutasAwI
al-a.dlA` fi murabba` ma`lUm (letter on the construction of an equilateral
pentagon in a known square), in " Al-Kuhi's construction ..." (1984).
- Abu Hamid al-Saghani (Irak, late 10th c.), the extant fragment of
his treatise on hour lines constructed on astrolabe plates
(fI al-sA`At al-ma`mUla `alA .safA'i.h al-u.s.turlAb),
in "The contributions of ..." (2001).
- Al-Sijzi, Ahmad ibn Muhammad ibn Abdaljalil (Iran, 10th c.):
- kitAb fi `amal al-musabba` wa-qismat al-zAwiyat al-mustaqImat al-khattayn
bi-thalAthat aqsAm mutasAwiyat (Book on the construction of the heptagon and
the division of the rectilineal angle into three equal parts)
ed. and trans. in "Greek and Arabic constructions of the heptagon"
(1984).
- kitab fi'l-masA'il al-mukh.tAra allatI jarat baynahu wa-bayna muhandisI
shIrAz wa-khorAsAn wa-ta`liqAtuhu (Book on the selected problems that
were discussed by him and the geometers of Shiraz and Khorasan, and his
own Annotations), ed. and transl. of propositions in " Rearranging the ... manuscript ...Bankipore 2468" (1982), pp. 154-155;
"Arabic traces of lost works of
Apollonius" (1986), pp. 228-236, 244-252;
"On Euclid's Lost Porisms and Its Arabic Traces " (1988)
pp. 109-113; "Traces of the Lost "Geometrical Elements" of Menelaus in Two Texts of al-Sijzi," (2000) pp. 160-163.
-
kitab fi tashIl al-subul li-stikhrAj al-ashkAl al-handasiyya
(book on making easy the ways to the derivation of geometrical figures),
in: Al-Sijzi's Treatise on Geometrical Problem Solving (1996).
- qawl a.hmad bn mu.hammad bn `abd al-jalIl al-sijzI
fI khawA.s.s al-a`midat al-wAqi`at min al-nuq.tat al-mu`.tAt
ilA al-muthallath al-mutasAwI al-a.dlA` al-mu`.tA bi-.tarIq al-ta.hdId
(Treatise of Ahmad ibn Muhammad ibn Abdaljalil al-Sijzi on the
Properties of the Perpendiculars Drawn from a Given Point
to a Given Equilateral Triangle By Way of Determination)
in "Traces of the Lost "Geometrical Elements" of Menelaus in Two Texts of al-Sijzi," (2000) pp. 142-155.
- risAla a.hmad bn mu.hammad bn `abd al-jalIl ilA abI
`alI na.zIf bin yumn al-muta.tabbib fI `amal muthallath .hAdd
al-zawAyA min kha.t.tayn mustaqImayn mukh.talifayn
(Letter by Ahmad ibn Muhammad ibn Abdaljalil to Abu Ali Nazif ibn Yumn,
the Physician, on the Construction of an Acute-Angled Triangle
from Two Different Straight Lines), in "Traces of the Lost Geometrical Elements of Menelaus in Two Texts of al-Sijzi," (2000) pp. 155-160.
- Abu'l-Jud Muhammad ibn al-Layth (10th century, Iran?), answer to
the second of four
questions of al-Biruni, in " Abu'l-Jud's answer ..." (1987).
- Abu Sa'id al-Darir al-Jurjani (ca. 1000, Iran?),
masA'il handasiyya (Geometrical Problems) and
kitAb istikhrAj kha.t.t ni.sf al-nahAr min kitAb AnAlImA wa al-burhAn
`alayhi (Book of the Extraction of the Meridian Line from the Book
Analemma and the Proof of It), in " The Geometrical Works
of .. al-Jurjani " (2001).
- Abu Na.sr ibn `Iraq (Turkmenistan, Uzbekistan, ca. 1000), English
translation of the first part of his letter to Al-Biruni
on the circles which define the seasonal hours (fI al-dawA'ir allatI ta.huddu
al-sA`At al-zamAniyya ...), in "The contributions of ..." (2001).
- Ibn al-Haytham (965-1041, Irak, Egypt), maqAla fI tamAm kitAb al-MakhrU.tA.t (treatise on the Completion of the Conics (of Apollonius)),
in Ibn al-Haytham's Completion of the Conics (1985).
- Al-Mu'taman
ibn
Hud (Zaragoza, 11th century), kitAb al-istikmAl
(Book of Perfection),
editions and translations of
prop. 511.1 in: " Four constructions of two mean proportionals ..."
(1992-4); props. 511.2-511.7 in: "
Al-Mu'taman's
simplified lemmas for solving "Alhazen's problem" "
(1996), pp. 73-101;
props. 422.4-6, 422.13 in: " Which version of Menelaus' Spherics
... " (1996), pp. 28-43;
prop. 312.18 (theorem of Ceva) in
" The lost geometrical parts ... " (2003)
- Muhyi al-Din al-Maghribi (13th c.), ta.hrIr al-u.sUl
(Revision of the Elements of Euclid), ed. and trans. of Book XV in
" An Arabic text on the comparison of the five regular
polyhedra ... " (1994).
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Jan Hogendijk
<J.P.Hogendijk_at_uu.nl>