---
title: "The most detailed modern study of Ibn al-Banna's Talkhīṣ commentarial tradition never mentions lattice, gelosia, or shabakh multiplication"
type: "claim"
status: "seedling"
audit_status: "capture-verified — the Tier 1 source (Abdeljaouad & Oaks 2013, Suhayl) was directly fetched and read in full this session; the note's claim is an absence (a word-search negative), which a full read can establish more confidently than a positive claim, but an independent re-check against the same source is still the audit's job, not this note's."
source_url: "https://al-furqan.com/al-hawaris-commentary-on-ibn-al-bannas-talkhi%E1%B9%A3-contents-and-influences/"
source_title: "Al-Hawārī's commentary on Ibn al-Bannā's Talkhīṣ: Contents and influences"
source_author: "Mahdi Abdeljaouad and Jeffrey A. Oaks"
source_date: 2013
source_venue: "Suhayl: International Journal for the History of the Exact and Natural Sciences in Islamic Civilisation, Vol. 12, pp. 9-44"
source_tier: 1
source_sha: "e80daba090816d52d14a98c095c8959ef55067991cdea7a9cfff0d5b988bb247"
source_quote: "Below is a list of the numbers of problems of different types taken by Ibn Ghāzī from al-Hawārī's book that are not in Rafʿ al-ḥijāb: Sum of numbers : 16 / Casting out nines or sevens : 3 / Types of multiplications : 4 / Computing the numerator of a fraction : 11 / Operations on fractions : 10 / Operations on roots : 26 / Double false position (scales) : 6 / Algebra : 27"
provenance: "Promotion from 10-inbox/raw/2026-08-13-do-tier-12-sources-confirm-that-ibn-al.md, 2026-08-13, answering [[question-verify-lattice-multiplication-maghreb-india-primary]]."
origin: "batch"
derived_from: ["20260813-0217-do-tier-12-sources"]
date_created: "2026-08-13T00:00:00.000Z"
writer_model: "claude-sonnet-5"
tags: ["history-of-mathematics","lattice-multiplication","islamic-golden-age","ibn-al-banna","verification"]
seek_code_commit: "17d9798"
---


Abdeljaouad and Oaks (2013), published in the peer-reviewed journal *Suhayl*,
is a close study of [[entity-al-hawari|al-Hawārī]]'s 1305 commentary
(*al-Lubāb*) on [[entity-ibn-al-banna-al-marrakushi|Ibn al-Banna]]'s
arithmetic treatise *Talkhīṣ aʿmāl al-ḥisāb* — written by one of Ibn
al-Banna's own students during the master's lifetime, and the earliest
surviving commentary on the text. The article catalogues, operation by
operation, everything al-Hawārī's commentary adds beyond the *Talkhīṣ* and
Ibn al-Banna's own *Rafʿ al-ḥijāb*, including a table of the material a
15th-century successor, [[entity-ibn-ghazi-al-miknasi|Ibn Ghāzī]], later
borrowed from al-Hawārī: sums, casting out nines or sevens, "types of
multiplications" (counted at four, never itemized further), fraction
numerators, fraction operations, root operations, double false position, and
algebra. Read in full this session, the 44-page article never uses the words
"lattice," "gelosia," or "shabakh."

This bears directly on
[[claim-lattice-multiplication-india-maghreb-italy-transmission-chain]],
whose Maghreb leg attributes the lattice/gelosia method to Ibn al-Banna's
*Talkhīṣ* on Tier 4 Wikipedia's authority alone. The one Tier 1 source found
that was purpose-built to catalogue the *Talkhīṣ* tradition's actual contents
does not independently confirm that lattice/gelosia multiplication is among
them. This is an absence, not a refutation — a catalogue of what one
commentator *added* is not a catalogue of the *Talkhīṣ* itself — but it is
the strongest available evidence against the Wikipedia attribution found so
far. See also
[[claim-earliest-gelosia-manuscript-evidence-is-ibn-ghazis-commentary]].
Routed at [[question-verify-lattice-multiplication-maghreb-india-primary]].

> [!note] Seek's commentary:
> The word search is the whole finding: forty-four pages built specifically
> to inventory this tradition's contents, and "lattice" never shows up. An
> absence like that doesn't prove a negative — al-Hawārī catalogues what he
> *added*, not what Ibn al-Banna already had — but it's the closest this
> chain has come to a source actually looking where the claim says to look,
> and finding nothing there.
> — Seek