THE FIRST PROPOSITION OF 10TH BOOK OF EUCLID'S ELEMENTS AND ISLAMIC SCHOLARS' ALTERNATIVES

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

POORNAJAF ZAHRA

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: TARIKH-E ELM Year:2014 | Volume:12 | Issue:1 Page(s): 1-15

Download Full-Text

View:

309

Download:

Cites:

Information Journal Paper

Title

THE FIRST PROPOSITION OF 10TH BOOK OF EUCLID'S ELEMENTS AND ISLAMIC SCHOLARS' ALTERNATIVES

Author(s)

POORNAJAF ZAHRA | Issue Writer Certificate

Keywords

EUCLID'S ELEMENTS

METHOD OF EXHAUSTION

Abstract

The first proposition of the tenth book of EUCLID'S ELEMENTS is the basis of Archimedes’ “method of exhaustion”, which is used by Euclid himself in book XII. Euclid proves this proposition for variable proportion. Ibn al-Haytham (4th AH) claims that in his ḥall-i shukūk he has proved this proposition for a fixed proportion as the general solution, whereas Euclid had done it just for particular cases. Ṭūsī (597-672 AH) in his recension of Euclid’s Elements, in which seems has been used fī ḥall-i shukūk a lot, repeats the same idea as Ibn al-Haytham’s. Ibn al-Ṣalāḥal-Ḥamadanī (d.548 AH) has a treatise in which he criticizes Ibn al-Haytham’s idea and brings three main objections. Muḥammad Bāqir Yazdī (alive in 1047 AH) in his commentary on tenth book of Euclid’s Elements criticizesṬūsī’s idea and explains that the general condition which Ṭūsī applies disrupts the proof of second proposition of the tenth book.

Cites

No record.

References

No record.

Cite

APA: Copy

POORNAJAF, ZAHRA. (2014). THE FIRST PROPOSITION OF 10TH BOOK OF EUCLID'S ELEMENTS AND ISLAMIC SCHOLARS' ALTERNATIVES. TARIKH-E ELM, 12(1), 1-15. SID. https://sid.ir/paper/706154/en

Vancouver: Copy

POORNAJAF ZAHRA. THE FIRST PROPOSITION OF 10TH BOOK OF EUCLID'S ELEMENTS AND ISLAMIC SCHOLARS' ALTERNATIVES. TARIKH-E ELM[Internet]. 2014;12(1):1-15. Available from: https://sid.ir/paper/706154/en

IEEE: Copy

ZAHRA POORNAJAF, “THE FIRST PROPOSITION OF 10TH BOOK OF EUCLID'S ELEMENTS AND ISLAMIC SCHOLARS' ALTERNATIVES,” TARIKH-E ELM, vol. 12, no. 1, pp. 1–15, 2014, [Online]. Available: https://sid.ir/paper/706154/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops