{"book":"adl0938","page":477,"text":"۴۷\nدفعه پنجم صورت تحریر ضرب زبانی بطرز ذیل باشد:-\n(۱) ۱ ۲ ۳ غیره (ب) - ۱ × ۲ = ۲\n۲ × ۲ = ۴\n۳ × ۲ = ۶ غیره\nضرب مفرد، از طرزیکه در آموختن ضرب زبانی استعمال شده است\nطلاب فهمیده باشند که مطلب از ضرب اینست که یکعدد چند مرتبه جمع کرده\nمیشود، و عمل مختصریکه بذریعه آن حاصل جمع معلوم میشود آنرا قاعده ضرب مینامند\nبرای تشریح این عمل چند امثله بقرار نمونه ذیل حل باید کرد:-\nاحاد عشرات احاد عشرات\nعددیکه جمع کرده شده است = ۸ ۸\nتعداد مراتب که هشت جمع کرده شده است = ۴ ۸\n۸\n۸\nحاصل ضرب = ۳۲ حاصل جمع = ۳۲\nقاعدۀ ضرب - بقرار دفعات ذیل باید اموخت\nدفعۀ اول - کدام عدد را ، همراه عدد احاد ضرب کردن، مثلا ۷ × ۴\nدرین مثال ۷ را چهار مرتبه تکرار نمودن است، و حاصل جمع چهار مرتبه\nهفت بدرجه احد، و چهار مرتبه ده بدرجه عشره معلوم کردنست، و این سوال\nبطریق جمع و ضرب هر دو قسم حل میشود، تا طلاب بدانند که جمع و ضرب","chars":785,"image":"https://storage.googleapis.com/adl-page-images/adl0938/00477.jpg","first_page":1,"last_page":719,"title":"ʻIlm al-taʻalīm عالم التعليم","permalink":"https://afghanpress.org/book/adl0938/477","canvas":"https://afghanpress.org/iiif/adl0938/canvas/477","source":"https://afghanistandl.nyu.edu/books/adl0938/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0938_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."}}