{"book":"adl0290","page":75,"text":"علم حساب\n۶۸\n۳۷ - اگر عددی در نفس خود ضرب شود\nحاصل ضرب را مربع یا مجذور میگویند. مثلاً\n۴×۴ = ۱۶ :: مربع ۴ = ۱۶ است و اگر عدد در\nنفس خود سه بار ضرب شود - حاصل ضرب را\nمکعب میگویند - مثلاً ۳×۳×۳ = ۲۷ پس\nمکعب ۳ = ۲۷ است *\nچون عددی چند بار در نفس خود ضرب\nشود - تعداد دفعات ضرب را بالای عدد مذکور\nبطرف چپ می نویسند - مثلاً اگر ۳ را فی نفسه\n۳ بار ضرب نمودن مقصود باشد آن را به این\nصورت ۳۳ می نویسند - گویا ۳۳ = ۳×۳×۳ = ۲۷\nو در تلفظ این را قوت ۳ می خوانند - مثلاً در\n۴۳ = ۶۴ عدد ۶۴ قوت سوم ۴ میباشد و هندسهٔ\n۳ قوت نما است - عمل معلوم کردن قوت های\nاعداد را صعود می گویند *\nامثله نمبر ۱۴\nمربع اعداد ذیل را معلوم کنید :-\n(۱) ۱ و ۲ و ۳ و ۴ و ۵ - - - - ۱۹ و ۲۰ *","chars":648,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00075.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/75","canvas":"https://afghanpress.org/iiif/adl0290/canvas/75","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."}}