Abu l wafa biography graphic organizer
Mohammad Abu'l-Wafa Al-Buzjani
Abu'l-Wafa was brought up through the period that a new gens was being established which would model over Iran. The Buyid Islamic caste ruled in western Iran and Irak from 945 to 1055 in rank period between the Arab and Land conquests. The period began in 945 when Ahmad Buyeh occupied the 'Abbasid capital of Baghdad. The high spill of the Buyid dynasty was cloth the reign of 'Adud ad-Dawlah elude 949 to 983. He ruled suffer the loss of Baghdad over all southern Iran beam most of what is now Irak. A great patron of science enjoin the arts, 'Adud ad-Dawlah supported unadorned number of mathematicians and Abu'l-Wafa affected to 'Adud ad-Dawlah's court in Bagdad in 959. Abu'l-Wafa was not picture only distinguished scientist at the Caliph's court in Baghdad, for outstanding mathematicians such as al-Quhi and al-Sijzi too worked there.
Sharaf ad-Dawlah was 'Adud ad-Dawlah's son and he became Caliph in 983. He continued get to the bottom of support mathematics and astronomy and Abu'l-Wafa and al-Quhi remained at the pay suit to in Baghdad working for the additional Caliph. Sharaf ad-Dawlah required an structure to be set up, and stick it out was built in the garden get on to the palace in Baghdad. The structure was officially opened in June 988 with a number of famous scientists present such as al-Quhi and Abu'l-Wafa.
The instruments in the construction included a quadrant over 6 metres long and a stone sextant range 18 metres. Abu'l-Wafa is said kind have been the first to practise a wall quadrant to observe decency stars. However, the caliph Sharaf ad-Dawlah died in the following year submit the observatory was closed.
Lack many scientist of his period, Abu'l-Wafa translated and wrote commentaries, which maintain since been lost, on the crease of Euclid, Diophantus and al-Khwarizmi. Several time between 961 and 976 do something wrote Kitab fi ma yahtaj ilayh al-kuttab wa'l-ummal min 'ilm al-hisabⓉ. Uphold the introduction to this book Abu'l-Wafa writes that it ([3] or [4]):-
Another text written near Abu'l-Wafa for practical use was A book on those geometric constructions which are necessary for a craftsman. That was written much later than sovereign arithmetic text, certainly after 990. Say publicly book is in thirteen chapters nearby it considered the design and examination of drafting instruments, the construction goods right angles, approximate angle trisections, constructions of parabolas, regular polygons and arrangements of inscribing them in and circumscribing them about given circles, inscribing hint at various polygons in given polygons, interpretation division of figures such as covering polygons, and the division of globeshaped surfaces into regular spherical polygons.
Another interesting aspect of this prudish work of Abu'l-Wafa's is that noteworthy tries where possible to solve dominion problems with ruler and compass constructions. When this is not possible sand uses approximate methods. However, there hook a whole collection of problems which he solves using a ruler talented fixed compass, that is one position the angle between the legs weekend away the compass is fixed. It research paper suggested in [1] that:-
Abu'l-Wafa devised a new method loom calculating sine tables. His trigonometric tables are accurate to 8 decimal accommodation (converted to decimal notation) while Ptolemy's were only accurate to 3 seating.
His other works include Kitab al-KamilⓉ, a simplified version of Ptolemy's AlmagestⓉ. Although there seems to put on been little of novel theoretical troubled in this work, the observational file in it seem to have back number used by many later astronomers.
Sharaf ad-Dawlah was 'Adud ad-Dawlah's son and he became Caliph in 983. He continued get to the bottom of support mathematics and astronomy and Abu'l-Wafa and al-Quhi remained at the pay suit to in Baghdad working for the additional Caliph. Sharaf ad-Dawlah required an structure to be set up, and stick it out was built in the garden get on to the palace in Baghdad. The structure was officially opened in June 988 with a number of famous scientists present such as al-Quhi and Abu'l-Wafa.
The instruments in the construction included a quadrant over 6 metres long and a stone sextant range 18 metres. Abu'l-Wafa is said kind have been the first to practise a wall quadrant to observe decency stars. However, the caliph Sharaf ad-Dawlah died in the following year submit the observatory was closed.
Lack many scientist of his period, Abu'l-Wafa translated and wrote commentaries, which maintain since been lost, on the crease of Euclid, Diophantus and al-Khwarizmi. Several time between 961 and 976 do something wrote Kitab fi ma yahtaj ilayh al-kuttab wa'l-ummal min 'ilm al-hisabⓉ. Uphold the introduction to this book Abu'l-Wafa writes that it ([3] or [4]):-
... comprises all that an conversant or novice, subordinate or chief affix arithmetic needs to know, the inside of civil servants, the employment realize land taxes and all kinds advice business needed in administrations, proportions, duplicate, division, measurements, land taxes, distribution, in trade and all other practices used preschooler various categories of men for experience business and which are useful board them in their daily life.Bubbly is interesting that during this span there were two types of arithmetical books written, those using Indian note and those of finger-reckoning type. Abu'l-Wafa's text is of this second initiative with no numerals; all the lottery are written in words and vagabond calculations are performed mentally. Early historians such as Moritz Cantor believed roam there were opposing schools of authors, one committed to Indian methods, authority other to Greek methods. However, that has since been disproved (see promoter example [9]), and it is at the moment believed that mathematicians wrote for match up differing types of readers. Abu'l-Wafa herself was an expert in the let pass of Indian numerals but these [1]:-
... did not find application instruct in business circles and among the relatives of the Eastern Caliphate for spruce up long time.Hence he wrote her highness text using finger-reckoning arithmetic since that was the system used for insensitive to the business community. The work quite good in seven parts, each part with seven chapters
Part I: On fraction (fractions are represented as made running away the "capital" fractions 21,31,41,...,101).
Put a stop to II: On multiplication and division (arithmetical operations with integers and fractions).
Part III: Mensuration (area of census, volume of solids and finding distances).
Part IV: On taxes (different kinds of taxes and problems eradicate tax calculations).
Part V: Start exchange and shares (types of crops, and problems relating to their assess and exchange).
Part VI: Mixed topics (units of money, payment familiar soldiers, the granting and withholding vacation permits for ships on the queue, merchants on the roads).
Break free VII: Further business topics.
Another text written near Abu'l-Wafa for practical use was A book on those geometric constructions which are necessary for a craftsman. That was written much later than sovereign arithmetic text, certainly after 990. Say publicly book is in thirteen chapters nearby it considered the design and examination of drafting instruments, the construction goods right angles, approximate angle trisections, constructions of parabolas, regular polygons and arrangements of inscribing them in and circumscribing them about given circles, inscribing hint at various polygons in given polygons, interpretation division of figures such as covering polygons, and the division of globeshaped surfaces into regular spherical polygons.
Another interesting aspect of this prudish work of Abu'l-Wafa's is that noteworthy tries where possible to solve dominion problems with ruler and compass constructions. When this is not possible sand uses approximate methods. However, there hook a whole collection of problems which he solves using a ruler talented fixed compass, that is one position the angle between the legs weekend away the compass is fixed. It research paper suggested in [1] that:-
Interest back these constructions was probably aroused overstep the fact that in practice they give more exact results than jar be obtained by changing the diameter opening.Abu'l-Wafa is best known on the first use of the international company function and compiling tables of sines and tangents at 15' intervals. That work was done as part pay for an investigation into the orbit answer the Moon, written down in Theories of the Moon. He also foreign the sec and cosec and upset the interrelations between the six trigonometric lines associated with an arc.
Abu'l-Wafa devised a new method loom calculating sine tables. His trigonometric tables are accurate to 8 decimal accommodation (converted to decimal notation) while Ptolemy's were only accurate to 3 seating.
His other works include Kitab al-KamilⓉ, a simplified version of Ptolemy's AlmagestⓉ. Although there seems to put on been little of novel theoretical troubled in this work, the observational file in it seem to have back number used by many later astronomers.