{"book":"adl0290","page":551,"text":"۸۱\n(١٦٦) فرض کنید که جذر ٣١٣٦ مقصود است\n۵۶\n٣١٣٦\n۲۵\n۱۰۶)۶٣٦\n۶٣٦\nطریق عمل- اول عدد را\nبه نقاط در چند حصه تقسیم\nمیکنیم که در هر حصه آن\n۲ هندسه باشد و شروع\nاز هندسه احاد میکنیم پس در هر حصه مذکور یک\nهندسه نشان دارد و دیگر بے نشان می باشد باز\nعدد پنج را معلوم میکنیم که اعظم آن اعداد است\nکه مربع آن در حصه اول طرف چپ شامل\nاست و این هندسه اول جذر خواهد بود و بعد\nازاں مربع این عدد را از حصه اول تفریق میکنیم\nو طرف راست باقی حصه دوم را فرود می آوریم\nاکنون ۶٣۶ مقسوم جدید میباشد پس این عدد\nرا (هندسه طرف راست را محذوف شمرده)\nبر دو چند آن حصه جذر که معلوم شده است\nتقسیم می کنیم (یعنی ۶٣ را بر ١٠ تقسیم میکنیم)\nو خارج قسمت ۶ را با هندسه جذر و با\nمقسوم علیه آزمائشی یعنی ١٠ ملحق می کنیم\nاکنون این مقسوم علیه یعنی ۱۰۶ را در هندسه","chars":717,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00551.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/551","canvas":"https://afghanpress.org/iiif/adl0290/canvas/551","source":"https://afghanistandl.nyu.edu/books/adl0290/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0290_download.pdf","rights":{"image":{"statement":"Public domain. NYU states: \"All works presented on this website are, unless otherwise indicated, in the public domain. The images available on this website may be freely reproduced, distributed and transmitted by anyone for any purpose, commercial or non-commercial.\"","uri":"http://rightsstatements.org/vocab/NoC-US/1.0/","holder":"New York University Libraries","source":"https://afghanistandl.nyu.edu/about.html","delivery":"Images are served from a copy mirrored by this project, not from NYU's servers, under the reproduction terms above.","endorsement":"This is an independent project. It is not affiliated with, endorsed by, or reviewed by New York University."},"text":{"statement":"Machine-generated transcription, dedicated to the public domain under CC0 1.0. No warranty of accuracy: see the provenance block on every page.","uri":"https://creativecommons.org/publicdomain/zero/1.0/","holder":"Steps Ventures"}},"provenance":{"text_produced_by":"gemini-3.1-pro-preview","thinking_level":"low","read_completed":"2026-08-09","per_page_confidence":null,"per_page_confidence_note":"Not recorded during the corpus run. No calibrated per-page score exists, and none is estimated here.","human_reviewed":false,"accuracy_context":"Roughly two thirds of characters agree with a modern printed edition of the same text. Much of the disagreement is editorial, not misreading. Treat the transcription as a finding aid and read the page image before quoting.","primary_source":"The page image. The text is an index into it."}}