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Tag Archives: Euclid

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We human beings must love rectangles. We make so many of them! Plate glass, envelopes, stamps on envelopes, sheets of paper to stuff in envelopes, cross-sections of containers, garage doors, non-garage doors, dominoes, playing cards, and on and on. Thinking outside the box is also thinking beyond the rectangle.

But rectangles, or near-rectangles, do occur in nature: cell formation, muscle striations, constellations, fault-slipped rock formations, and on and on. Some eye sockets are more rectangular than circular.

When I was a kid my mom collected S&H Green Stamps, filling in rectangular arrays with the rectangles-with-punched-out-semicircles of the stamps. When she turned them in for merchandise, it was a form of rectangle redemption; thus does my seemingly-random acrostic have some basis in fact.  But it’s a tenuous stretch. Luckily, when you stretch a rectangle, it remains a rectangle…

Here are the words:

Romance wears her nylons sheer
Eco-Friendly’s more austere
Creature comforts may be weird
Take an object choose a theme
Tell a truth that makes us beam
Any shape provides a step
Necessarily adept
Given one who wears a kepi
Leaps & bounds’ll come & go
Even-keelers use the known

 

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Two thousand three hundred years ago, more or less, an Alexandrian man whose name translates to “good glory” was making up rules and checking them twice, and through those postulates was born premodern geometry. To my knowledge, though, and right on through to today, not even Euclid could use compass and straightedge to perform that magical operation known as “squaring the circle” with trueness.

One of my heroes, Isaac Asimov, once wrote a science article called “Euclid’s Fifth,” perhaps obliquely referring to Beethoven, whose Fifth Symphony rivals his Ninth for space in our collective consciousness. Euclid’s Fifth Postulate, much more complicated than his first four, goes like this:

If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles.

Asimov elegantly demonstrated that not taking the Fifth as gospel paved the way for NON-Euclidean Geometry, which with many aspects of reality (navigating the Earth’s surface, for instance) is a better match than non-NON-Euclidean geometry.

Here are the words to the triple acrostic:

Some protocols–see Balke
Quiesce awhile–Cthulhu
Upset love-crafting talc
And proved a cunning tool
RE-tool’s amendment: Idi
Enhanced misanthrope’s screed

I leave to the student the explanation of what the Balke protocol for measurement of maximum oxygen uptake, Lovecraft’s Cthulhu and Idi Amin Dada have to do with Euclid and/or the futility of “squaring the circle.” HINT: No one today really knows what Euclid looked like. Good Glory!

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Here are the words:

There oft exist exotic Guilds developing Arcana
How eagerly practitioners divine a certain pattern
Regarding abject wonderers who hanker to be long
Euclid took Geometry to levels transcendental
Ensuring the 3-cornered shape would be its cornerstone

I don’t have much to say about this one, except that it is easy and fun for everyone to draw overlapping triangles and then color in a la checkerboard to get alternating light and dark. I put a little extra zing into this one by making a light gray via rubbing the entire upper surface of the paper with my big fleshy thumb/palm pad, then erasing out a couple of background white triangles. Drawing with an eraser is really satisfying!

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This post will be a blast and a half from the past. Above is the first blast, intact; the remaining half-blast will come from below, which sounds hellish, though I trust it will only seem hellish to those for whom incompleteness is maddening.

The words to the above are these:

Signore Klein, acquitted in absentia
Significantly troubled w/Dementia
Called 4 his fiddlers 3 and scribing ruler
Consanguinizing Euclid Bach and Euler
Encephalitis roped his oblongati
Ensuring flood of each syn-aptic wadi
Now he’s Semi-Conducting Impresario
Near-virtual-almost-but-for Lothario

To my current shame, at the time I made this I thought Ruler and Euler rhymed. They do not. If I ever do a remake of this page (and there are several reasons to do so. One reason is the right half of the acrostic, Ario, doesn’t “lay down” worth a darn) I’ll have Signore Klein call for, not a scribing ruler, but a  double boiler, or somesuch.

The words of the half-page below follow, Why only a half-page, when I have the page complete? Because the page entire is too big for my scanner, and after I scanned top and bottom as separate files, I loved the “fade to black” aspect of the top half, and realized that leaving something out gave the page a needed visual and cerebral boost. If any reader just can’t stand not knowing how the sonnet (it is a sonnet, an acrostic sonnet, and the acrostic is An Intersection) turns out, I will supply the rest of the words in a subsequent comment. But I invite anyone with a poetic bent to complete the sonnet  her- or himself; perhaps it will be better than what I came up with, which begins

A many of us tend to be half nervous
Near crossing paths with those we hadn’t met.
It’s anxiousy, proximity; a pet
Needs toothsinks–or her lips are ultracurvous–
Then as we reach the overlap of X
Essential tension rises to a spike;
Reactiveness depends on if we like
Such eye contact as is. It’s quite complex…

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