{"book":"adl0258","page":31,"text":"۲۶\nو دوم را قوس میانه یا معترضه و سوم را قوس کلان گفته میشود-\nهرگاه جمله جبریه در بین خطوط قوسی محدود باشد آن جمله حکم مقدار واحد دارد\nمثلاً مفهوم (ا+ب) لا انیست که عدد لا در عدد ا+ب ضرب شود\nبرخلاف آن مفهوم ا+ب لا انیست که لا در ب ضرب شود\nو این حاصل ضرب با ا جمع شود-\nبنابرین جمله د+(ا+ب) لا ذو حدین است که دو حد آن د و(ا+ب) لا\nمیباشند و بر همین منوال ج- {د+(ا+ب) لا} ذو حدین است\nکه دو حد آن ج و {د+(ا+ب) لا} میباشند برخلاف این اگر خطوط\nقوسی محذوف شوند ج- د+ا+ب لا ذو حدود کثیره میگردد\nو حدود آن ج و د و ا و ب لا خواهند بود بعض اوقات بر جای\nاینکه جمله جبریه در خطوط قوسی محدود شود یک خط عرضی باین شکل ـــــــ\nکه حکم خطوط قوسی دارد بر کل آن جمله مذکوره رسم میشود- مثلاً در مفهوم\nا-ب-ج و ا-(ب-ج) هیچ تفاوت نیست\nتنبیه- مابین لا ا+ب و لا(ا+ب) و لاا+ب چه فرق\nموجود است مفهوم هریک از دو جمله اول انیست که جذر آن عدد لا","chars":812,"image":"https://storage.googleapis.com/adl-page-images/adl0258/00031.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/adl0258/31","canvas":"https://afghanpress.org/iiif/adl0258/canvas/31","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."}}