{"book":"adl0290","page":287,"text":"علم حساب ۱ ۲۸۰\n\nتشریح\nچونکه برای حصول عدد ۳ واحد سه مرتبه\nگرفته میشود بنابرین از ضرب کدام عدد در ۳\nمراد این است که آن عدد سه مرتبه گرفته شود\nباز اگر احد در سه حصه مساوی تقسیم کرده شود\nاز گرفتن دو حصه از حصص مذکور ۲/۳ حاصل\nمی شود بنابرین مفهوم ضرب کدام عدد در ۲/۳\nاین است که آن عدد در سه حصه مساوی تقسیم\nکرده شود و ازین حصص ۲ حصه گرفته شود -\nیعنی برای حصول حاصل ضرب کدام عدد در\n۲/۳ لازم است که آن عدد را بر ۳ تقسیم نموده\nماحصل در ۲ ضرب کرده شود *\nمثال ۳/۵ را در ۲/۷ ضرب کنید -\nچونکه ۳/۵ ÷ ۷ = ۳/۷x۵ و ۲ x ۳/۷x۵\n۲ x ۳ / ۷ x ۵ =\n۶/۳۵ = ۲ x ۳ / ۷ x ۵ = ۲/۷ x ۳/۵ ∴\nبنابرین قاعده این است که جمیع صورت ها را\nبا هم ضرب نموده صورت و جمله مخارج را با هم","chars":644,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00287.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/287","canvas":"https://afghanpress.org/iiif/adl0290/canvas/287","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."}}