From the book
Flatland: A Romance of Many Dimensions
Edwin A. Abbott · Diotimos Editions · 2026
Browse this book’s lexicon →Orientation
At a Glance
- The wordA household is a domestic group and the space of its daily relations.
- In FlatlandThe Wife is the first person to answer the Square's dismissal of the grandson.
- In this editionThe notes identify the daughter in Abbott's house plan and mark her absence from earlier inventories.
- A place to read“He is no such thing” — The Wife defends the grandson before the visitor speaks clearly.
Meaning
A household is a domestic group and the space of its daily relations. Part II places revelation inside such a group rather than in an isolated laboratory. The narrator's Wife, sons, orphan grandsons, daughter, servants, butler and page supply both the subjects of new vision and the people to whom he might have to explain what he has learned. Lineland's plural Wives provide a contrasting domestic arrangement shaped by another geometry.
Use in the book
The Wife is the first person to answer the Square's dismissal of the grandson. She defends the boy by invoking the Commandments, before the Sphere independently confirms his mathematical insight. Her own encounter with the stranger is governed by practical concerns: how did someone enter a house promised to have no ventilators, and what can contact establish about the visitor? The narrator dismisses her as jealous and unreasoning, but her insistence on Feeling produces a result he later explicitly acknowledges as correct.
Her retirement is secured by deference to apparent Circular rank. The Sphere says his message cannot be delivered in her presence, and she yields rather than require the important visitor to move. An extraordinary intellectual event thus begins inside ordinary gendered and class-based arrangements of access. The private audience is not free of social structure merely because its subject exceeds Flatland's world.
From above, the Square sees his Wife anxiously searching for him while the rest of the house is exposed in its individuality. He wishes to reassure her but cannot move without his guide. The panoramic privilege is accompanied by helplessness towards someone he cares about. The daughter's first explicit appearance in the account is fleeting, and the house diagram gives her a room even though earlier verbal inventories had omitted her. That discrepancy can support attention to domestic invisibility without pretending that Abbott narrates her thoughts or a separate story.
After returning, the Square withholds his experience from his Wife on the declared assumption that women cannot understand it. Her sensible response to his implausible cellar story is solicitude rather than argument. His later resolution to teach her is quickly postponed, and he ultimately gives an elaborate, admittedly untruthful account that sends her back to household duties. His enlightenment has not dissolved his habits of exclusion.
The family is also a potential arm of the state. The narrator fears that his respectable sons may value patriotism and reverence for Circles above affection and hand him over. The supposedly safe grandson recants after hearing the law. Domestic life therefore surrounds revelation with care, prejudice, intellectual promise and danger. It is neither merely a comic interruption nor an uncomplicated refuge from public authority.
Places to read
- §152“He is no such thing” — The Wife defends the grandson before the visitor speaks clearly
- §152“you promised me, my dear” — Domestic arrangements govern the first explanation of the intrusion
- §18234“Only my affectionate Wife” — New sight reveals her anxiety
- §18234“Servants, Butler, Daughter” — The expanded household inventory briefly includes the daughter
- §202“my Wife, whose good sense far exceeds” — Praise still retains the narrator's hierarchy of sex
- §212“return quietly to her household duties” — The account restores an exclusion it had briefly promised to overcome
In this edition
The notes identify the daughter in Abbott's house plan and mark her absence from earlier inventories. The author's own note to §152 explains that bodily words such as sitting indicate Flatland states of volition rather than ordinary human posture; that adaptation belongs to the fiction's domestic language, while the explanatory note should not be misregistered as main narrative vocabulary.
Approximations
Successive movements towards a closer fit. Repeated courtship choruses gradually bring the three lovers’ four voices into harmony, giving the love story a mathematical vocabulary of convergence. Printed form: approximations (§ 1323). See Wives and household.
Condole
To express sympathy or share another's grief. The Square wants to reach his arrested brother, but the guide postpones that familial response while continuing the lesson. Printed form: condole (§ 192345). See Wives and household.
Conjugal union
The relation of spouses in marriage. The Square wonders how marriage can operate where intervening neighbours cannot be passed, and discovers a wholly auditory domestic system. Printed form: conjugal union (§ 1323). See Wives and household.
Consummated
Brought to completion, here specifically marriage made effective. The King's account makes coordinated sound perform the role that bodily union would have in a familiar marriage. Printed form: consummated (§ 1323). See Wives and household.
Domestic individuality
The distinct persons and arrangements of the household seen together from above. The new perspective makes visible what the narrator formerly knew only through inference. Printed form: domestic individuality (§ 18234). See Wives and household.
Four in One
The bass and tenor of one Man combined with the soprano and contralto of two Women. The King presents this four-part harmony as a necessary order of marriage rather than a local arrangement. Printed form: Four in One (§ 1323). See Wives and household.
Incommode
To inconvenience or trouble. The Wife refuses to make the apparently exalted visitor move elsewhere and retires herself, showing how etiquette secures the private lesson. Printed form: incommode (§ 152). See Wives and household.
Indiscretion
An imprudent or socially improper act. The Wife apologizes for treating the visitor as a Woman before discovering the smooth circular section that commands her deference. Printed form: indiscretion (§ 152). See Wives and household.
Patent · § 20
Plain, open or readily intelligible. The narrator's assertion that the dream's higher methods are patent even to women preserves his gender prejudice inside apparent intellectual liberation. Printed form: patent (§ 202). See Wives and household.
Rapt
Carried away or transported. The marriage account describes the triplet as vocally transported into union, making an ecstatic term do the work of impossible bodily movement. Printed form: rapt (§ 1323). See Wives and household.
Ventilators
Openings for air. The Wife fears that a Woman has entered through one, and invokes the husband's promise that their new house would have none. Printed form: ventilators (§ 152). See Wives and household.
Once neighbours, always neighbours (contextual phrase)
§1323. “Once neighbours, always neighbours.”
The maxim condenses a geometrical constraint into the sound of proverbial wisdom. No inhabitant of Lineland can step aside to pass another, so an initial position fixes a lifelong relation. The next sentences compare that relation with marriage and borrow the language of permanent vows. Yet actual marriage in Lineland does not require neighbouring bodies: voices join lovers separated by enormous distances. The juxtaposition distinguishes unavoidable spatial attachment from chosen or harmonized affection. It also invites comparison with Flatland's sayings that turn an inherited condition into an apparently self-evident law. A proverb's reassuring balance can make confinement sound natural before anyone asks whether another direction would release it.
See also. Lineland · Wives and household
Patent even to the Female Sex (contextual phrase)
§202. “patent even to the Female Sex”
The small word even preserves a hierarchy at the climax of apparent intellectual liberation. The Square has dreamed a teacher who admits his error and shows constructions beyond three dimensions; he then measures their simplicity by claiming that women could understand them. The compliment to the method depends on a familiar disparagement of women. This matters beside the Wife's earlier accurate reliance on touch and sensible response to his return. The narrator's expanded geometrical imagination has not automatically corrected his social judgments. Nor does his next resolution to preach to women and soldiers erase the qualification: the promised inclusiveness is quickly interrupted, and the Wife still receives an evasive account rather than a serious lesson.
See also. Wives and household · Revelation and teaching