Charity increases directly as the square of the distance

“Charity increases directly as the square of the distance” is the Rector’s pointed definition of philanthropy that becomes more generous as its recipients grow more remote. The phrase turns a criticism of Mr. Brooke’s politics and landlordism into a compact measure of moral evasion: concern for distant communities means little if nearby tenants are left in hardship.

The Phrase in Context

The Rector delivers the line while reading a satirical attack on Mr. Brooke. The article portrays him as a would-be reformer who condemns political corruption and resists the execution of a rogue, yet neglects the tenants and farms for which he is directly responsible. Its contrasts are concrete: he may support representation for Leeds and Manchester, but fails to provide tenants with help to buy stock or to repair a barn door and a deteriorating house.

The Rector closes this catalogue by recalling the definition of a philanthropist as a man “whose charity increases directly as the square of the distance.” The geometrical language makes the accusation memorable: generosity appears to expand with distance from the people who could most immediately benefit from it. The phrase is not offered as a neutral principle of charity, but as the satirical conclusion to a case against benevolence detached from practical responsibility.

Satire and Local Responsibility

The surrounding exchange tests the distinction between an attack’s accuracy and its sting. Mr. Brooke dismisses the journalist as ignorant, then admits the satire about his tendency to “roar himself red at rotten boroughs” is rather good, while insisting that satire should be true only up to a point. The Rector, by contrast, has just tied public reforming language to neglected gates, repairs, and tenant welfare. The phrase about distance therefore gives the political criticism a domestic and local measure: declarations of concern are weighed against obligations close at hand.

Sir James Chettam reinforces that measure by recalling that Dagley had complained about not having a decent gate on his farm. He mentions that Caleb Garth has devised a new gate pattern and urges Mr. Brooke to use some of his timber for such repairs. The exchange converts the article’s broad charge into a specific, remediable instance of neglect. Charity’s distance is exposed not only through abstract political priorities but through the contrast between distant generosity and a tenant’s broken gate.