{"book":"adl0290","page":592,"text":"١٢٢\n(١٨٥) فرض کنید که شکل ذیل مجسم متوازی السطوح\nقایم الزوایا است\nو طول آن ا ب = ۴ فٹ\nو عرض آن ب ج = ۳ فٹ\nو ضخامت آن ا د = ٢ فٹ\nا ب را در ۴ حصه مساوی و ب ج را در ۳ حصه\nمساوی و ا د را در ٢ حصه مساوی تقسیم کنید و\nاز نقاط تقسیم سطوح متوازی اطراف بکشید - پس\nبه این طریق مجسم مفروضه به چنین حصص مساوی\nتقسیم خواهد شد که حجم هر یکی از انها یک مکعب فٹ\nمیباشد و چونکه دو ته این مجسم باین طریق تقسیم\nشده که در هر یکی از انها ۴ × ٣ = ١٢ حصه مساوی\nاست بنا برین کل مجسم مفروضه در ۴ × ٣ × ٢ = ٢۴\nحصه تقسیم شده لهذا حجم مطلوب ٢۴ مکعب فٹ است\nقاعده - حجم مجسم متوازی السطوح قایم الزوایا\n= طول × عرض × ضخامت\n∴ ضخامت = حجم ÷ (طول × عرض) وغیره\nمثال ١ حجم آن سنگ مرمر را معلوم کنید که ابعاد\nثلاثه آن ٣ فٹ ٢ انچ و ٢ فٹ ٣ انچ و ١ فٹ","chars":709,"image":"https://storage.googleapis.com/adl-page-images/adl0290/00592.jpg","first_page":1,"last_page":1089,"title":"ʻIlm-i ḥisābعالم حساب","permalink":"https://afghanpress.org/book/adl0290/592","canvas":"https://afghanpress.org/iiif/adl0290/canvas/592","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."}}