{"book":"adl0709","page":28,"text":"٢٦\n\nدر سطر سوم و متباقی سطرها هر عدد عبارت از مجموع عدد مافوقش و عدد سطر نخستین است . یعنی مثلا :\n( ١٥ = ١٢ + ٣ ) و نیز ( ٣٥ = ٣٠ + ٥ ) ... وهكذا .\nاز ترتیب مذکور ؛ معلوم میشود که تشکیل يك جدول كرات ؛ بسیار آسان است .\nرقمهای لك كه جدول را قطراً ٢ مثلث تقسیم نموده عبارت از مربعهای [ ١ ] اعداد طبیعیه است .\nرقمها ئيكه بداخل مثالهای مذکور است چون بهم مساوی میباشند ظاهر است که جدول کرات را بشكل يك مثلث نیز ؛ ترتیب و تشکیل نمودن ممکن است !\nالحاصل جدول مذکور ؛ برای ضرب\n\n[١] مربع = هرگاه مضروبین بهم مساوی باشند حاصل ضرب را (مربع) مینامند .","chars":537,"image":"https://storage.googleapis.com/adl-page-images/adl0709/00028.jpg","first_page":1,"last_page":61,"title":"Prūghrām-i ʻilm-i ḥisāb barā-yi shāgirdān-i makātib-i ʻaskarīyah Maḥmu Sāmī پروغرام علم حساب براى شاگردان مکاتب عسکرية","permalink":"https://afghanpress.org/book/adl0709/28","canvas":"https://afghanpress.org/iiif/adl0709/canvas/28","source":"https://afghanistandl.nyu.edu/books/adl0709/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0709_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."}}