{"book":"adl0258","page":44,"text":"۳۹\n\nلفظ جمع در جبر و مقابله استعمال شود لازم نیست که کل مقادیر جمع شده\nمقادیر مثبت باشند\n۲۷- حاصل جمع یک مقدار مثبت با مقدار مثبت دیگر\nب' و اَ ب\nفرض کنید که ب' ب یک سرک است و مسافتهائیکه از مبدأ و\nبطرف راست میباشند مثبت و مسافتهائیکه بطرف چپ میباشند\nمنفی شمار کرده میشوند و نیز فرض کنید که و و اَ و ب سه نقطه بر ان سرک\nواقع هستند و واَ ۲ میل و اب ۳ میل است پس اگر یک میل\nواحد قیاسی مسافت باشد و مقام اَ و ب مطابق شکل فوق مسافت\nو اَ + ۲ میل و اب + ۳ میل خواهد بود - پس اگر یک شخص از و\nروانه شده تا اَ در یک ساعت و از اَ تا ب در یک ساعت دیگر\nبرسد ظاهر است که آنشخص در دو ساعت مذکور مسافت و ب یعنے\n+ ۵ میل راطی کرده است - پس چونکه (مسافت طی شده ساعت\nاول) + (مسافت طی شده ساعت دوم) = (مسافت طی شده\nدر دو ساعت مذکور میباشد) لہذا (+۲) + (+۳) = ۵ میباشد","chars":746,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00044.jpg","first_page":1,"last_page":309,"title":"Kitāb-i jabr va muqābalah ‏كتاب جبر و مقابله Silsilah-ʼi Mūʼallifāt-i Madrasah-i Mubārakah-i Ḥabībīyah-ʼi Dār al-Salṭanah-ʼi Kābul","permalink":"https://afghanpress.org/book/adl0258/44","canvas":"https://afghanpress.org/iiif/adl0258/canvas/44","source":"https://afghanistandl.nyu.edu/books/adl0258/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0258_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."}}