This might be the chance you were looking for.  From The Distributor, 1928.

"Apple pie!"  From Fisher Junior's 1966 yearbook.

Smile.  From American University's 1971 yearbook.

So the farther one is away from Pittsburgh, the wider one's smile?  Surely that's not what they meant.  From The Film Daily, 1940.

A ziggurat hairdo leads from tears to smiles.  From the Carthage yearbook of 1916.

From Cine-Mundial, 1934.

Here's a lost page from that celebrated book of impossible (yet still somehow solvable) math puzzles: Presumptive Conundrums: Rhetorical Math Questions + Answers.

How can one prove the equation "Girls + Smiles = Peace"?  This perplexing calculation appears in Peace College's 1981 yearbook.

The answer is simple, with matchsticks.  Girls are represented by the XX chromosome, rendered with four crosscrossing matches.  Smiles are represented by a smiley-face symbol comprised of four more matches.  Four matches plus four matches equal the eight matches of the peace symbol.

That's what Presumptive Conundrums is all about -- literary, rhetorical math problems that seemingly have no serious answer or provability.  It's the ultimate puzzler for logical- and mathematical-minded folks.

A doodle on the title page of God's Smile by Julius Magnussen, 1920.

Portrait photographers rely on the "Smile for the Camera" angel.  From Le Journal Amusant, 1910.

From Skomorokh, 1907.

INSTRUCTIONS: Click to crack a smile. From Judge's Library, 1894.

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Reblog if this is the cause of your own bad hair days.  From Nebelspalter, 1958.

"Note the lingering shade of sorrow in the sweet eyes above the sunny smile."  From Wicked City [Chicago] by Grant Eugene Stevens, 1906.

You've heard that a smile is a frown turned upside down, but the part they tend to leave out is what, exactly, does the turning.  Demons.  From Le Journal Pour Rire, 1852.