Log24

Tuesday, July 30, 2024

The Dropped Line

Filed under: General — Tags: — m759 @ 10:42 am

Pythagorean theorem proof by overlapping similar figures

"Drop me a line" — Request attributed to Emma Stone.

Meditation on the dropped line


 

Stone herself might prefer the not-so-mean shapes
of "A Quiet Weekend in Mykonos."

Sunday, February 18, 2024

Bride’s Chair vs. One-Liner

Filed under: General — Tags: , — m759 @ 11:53 am

The "bride's chair" is the figure illustrating Euclid's proof
of the Pythagorean theorem (click image to enlarge) —

A somewhat simpler approach —

Pythagorean theorem proof by overlapping similar figures

"Drop me a line" — Request attributed to Emma Stone

 

Friday, June 30, 2023

Trickster Fuge (German for Joint)

Filed under: General — Tags: , , — m759 @ 12:28 pm
 

Margaret Atwood on Lewis Hyde's 
Trickster Makes This World: Mischief, Myth, and Art

"Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists." (159)

What is "the next world"? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation  and art  all come from the same ancient root, a word meaning "to join," "to fit," and "to make." (254)  If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist.  Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.

Pythagorean theorem proof by overlapping similar figures

"Drop me a line" — Request attributed to Emma Stone

Monday, October 11, 2021

The Dropped Line

Filed under: General — Tags: , — m759 @ 9:41 am

"Drop me a line" — Imagined request by Emma Stone.

Here Ec   refers not to the line it interrupts, but rather to
the area (equal to areas  Eplus E) of the large triangle.

The notation is in service of an elaborate joke by Schroeder
that need not be repeated here.

I prefer the E-C humor of Robert A. Heinlein —

Friday, August 6, 2021

Strong Curtain

Filed under: General — m759 @ 10:20 pm

"Drop me a line."

Thursday, June 17, 2021

Easy E . . .

Filed under: General — m759 @ 1:31 pm

Continues.

Lyrics from Bruce Springsteen and
the Pointer Sisters —

Well, Romeo and Juliet, Samson and Delilah
Baby you can bet a love they couldn't deny
My words say split, but my words they lie
Cause when we kiss, ooh, fire

{Bridge}

Oh fire
Kisses like fire…
Burn me up with fire
I like what you're doin now, fire
Touchin' me, fire
Touchin' me, burnin me, fire
Take me home

E is for Energy.

Related remarks (suggested by Emma Stone's appearance 
in the "Drop Me a Line" post of August 30, 2015) —

Tuesday, October 6, 2015

Line for a Cartoon Graveyard

Filed under: General — Tags: — m759 @ 10:27 pm

Continued from the Oct. 1 post Cartoon Graveyard and from
the Aug. 30 post Lines ("Drop me a line.") —

Charlize Theron in 'Mad Max: Fury Road' says 'Redemption.'

A related song  for Imperator Furiosa
may be found in the previous post.

Sunday, August 30, 2015

Lines

Filed under: General,Geometry — Tags: , , , — m759 @ 11:01 am

"We tell ourselves stories in order to live." — Joan Didion

A post from St. Augustine's day, 2015, may serve to
illustrate this.

The post started with a look at a painting by Swiss artist
Wolf Barth, "Spielfeld." The painting portrays two
rectangular arrays, of four and of twelve subsquares,
that sit atop a square array of sixteen subsquares.

To one familiar with Euclid's "bride's chair" proof of the
Pythagorean theorem, "Spielfeld" suggests a right triangle
with squares on its sides of areas 4, 12, and 16.

That image in turn suggests a diagram illustrating the fact
that a triangle suitably inscribed in a half-circle is a right
triangle… in this case, a right triangle with angles of 30, 60,
and 90 degrees… Thus —

In memory of screenwriter John Gregory Dunne (husband
of Joan Didion and author of, among other things, The Studio )
here is a cinematric approach to the above figure.

The half-circle at top suggests the dome of an observatory.
This in turn suggests a scene from the 2014 film "Magic in
the Moonlight."

As she gazes at the silent universe above
through an opening in the dome, the silent
Emma Stone is perhaps thinking,
prompted by her work with Spider-Man

"Drop me a line."

As he  gazes at the crack in the dome,
Stone's costar Colin Firth contrasts the vastness
of the Universe with the smallness of Man, citing 

"the tiny field F2 with two elements."

In conclusion, recall the words of author Norman Mailer
that summarized his Harvard education —

"At times, bullshit can only be countered
with superior bullshit."

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